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  • MATH 350 Fall 2012 Homework 2 Solutions

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  MATH 350 Fall 2012 Homework 2 Solutions

  School: McGill University

  Course: MATH 350

  Math 350: Graph Theory and Combinatorics Assignment 2: Solutions 1. Graph Connectivity. (a) Suppose v is a cut vertex of G. Let S1 and S2 be components of G − v. Consider the graph ...

• 5 Pages

  • MATH2069_DiscreteMathematicsAndGraphTheory_2014_Semester_1_quiz01a-sol(1)

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  MATH2069_DiscreteMathematicsAndGraphTheory_2014_Semester_1_quiz01a-sol(1)

  School: The University Of Sydney

  Course: MATH 2069

  The University of Sydney School of Mathematics and Statistics Solutions to Quiz 1 MATH2069/2969: Discrete Mathematics and Graph Theory Semester 1, 2014 Name: SID: Enrolled in (please circle): MATH2069 MATH2969 ...

• 17 Pages

  • Quizzes

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  Quizzes

  School: University Of Mississippi

  Course: MATH 781

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  • c2s3 problem 8 Solution

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  c2s3 problem 8 Solution

  School: Louisiana State University

  Course: MATH 4171

  Section 2.3, #8 March 29, 2012 Problem 8 • (a) Show that for every connected graph G there is a spanning tree T of G such that diam(T) ≤ 2diam(G). • (b) Prove or disprove: For every positive integer k, there is a connected graph G and a spanni...

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  • 474_Regression-2

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  474_Regression-2

  School: The University Of Newcastle

  Course: MATH 3510

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  • 52-B-M-A-S-C-F_(53)

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  52-B-M-A-S-C-F_(53)

  School: The University Of Newcastle

  Course: MATH 3510

• 14 Pages

  • 24immuneNEWsp09-2

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  24immuneNEWsp09-2

  School: The University Of Newcastle

  Course: MATH 3510

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  • Confusing Words Homework-6

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  Confusing Words Homework-6

  School: The University Of Newcastle

  Course: MATH 3510

Graph Theory Essays View All Graph Theory Study Resources Essays

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  • Week 7 discussion

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  Week 7 discussion

  School: Regis University

  Course: MATH MT 320

  I've selected Google Maps as my real world application of the graph theory. ... In reference to graph theory, the destinations within Google Maps would be know as the vertices and the connections are known as edges. ...

• 3 Pages

  • Application of Graph Theory

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  Application of Graph Theory

  School: Strayer University

  Course: MAT 311

  Running head: Application of Graph Theory. Application of Graph Theory. Assignment: Application of Graph Theory. ... Application of Graph Theory. ...

• 2 Pages

  • PaperIII_12_2

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  PaperIII_12_2

  School: California Polytechnic State University, San Luis Obispo

  Course: PAPER 12

• 8 Pages

  • PaperIII_12_2

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  PaperIII_12_2

  School: Middlesex County College

  Course: MAT 010a

Graph Theory Homework Help View All Graph Theory Study Resources Homework Help

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  • MATH 350 Fall 2012 Homework 2 Solutions

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  MATH 350 Fall 2012 Homework 2 Solutions

  School: McGill University

  Course: MATH 350

  Math 350: Graph Theory and Combinatorics Assignment 2: Solutions 1. Graph Connectivity. (a) Suppose v is a cut vertex of G. Let S1 and S2 be components of G − v. Consider the graph ...

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  • HW7

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  HW7

  School: Princeton University

  Course: MAT 375

  MAT375— HOMEWORK 7 1. Show that every 3-edge-connected cubic graph has a perfect matching. ... 2. Let G be a graph and Z ⊆ V (G). Show that the following are equiva- lent: (a) G has a matching covering Z ...

• 2 Pages

  • AMS303 Homework1

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  AMS303 Homework1

  School: Stony Brook University

  Course: AMS 303

  ... Chapter1: 15. If G is a simple graph with at least two vertices, prove that G must contain two or more vertices of the same degree. Proof: Suppose graph G is a simple graph with n>=2 vertices. ... (ii) a bipartite Platonic graph. Answer: Cu...

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  • Homework 9

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  Homework 9

  School: Johns Hopkins University

  Course: AMS 171

  ... 550.171) Homework 9 (Due Friday, April 24, 2015) Objectives: The student will explore properties of prime numbers encrypt/ decrypt simple messages using the RSA method learn about the fundamentals of graph theory: vertices, edges,. ...

Graph Theory Notes View All Graph Theory Study Resources Notes

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  • c2s3 problem 8 Solution

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  c2s3 problem 8 Solution

  School: Louisiana State University

  Course: MATH 4171

  Section 2.3, #8 March 29, 2012 Problem 8 • (a) Show that for every connected graph G there is a spanning tree T of G such that diam(T) ≤ 2diam(G). • (b) Prove or disprove: For every positive integer k, there is a connected graph G and a spanni...

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  • 412-01f15

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  412-01f15

  School: University Of Illinois, Urbana Champaign

  Course: MATH 412

  ... 3. Let G be a simple graph with adjacency matrix A. Prove that A is the incidence matrix of some simple graph if and only if G is 2-regular and has ...

• 6 Pages

  • solutions_9

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  solutions_9

  School: Carnegie Mellon University

  Course: MATH 21-484: A

  HW8 21-484 Graph Theory Name (andrewid) - X 1, Diestel 7.16: Prove the Erd˝os-Sós conjecture for the case when the tree considered is a path. (Hint. Use Exercise 8 of Chapter 1.) We seek to prove that the maximal number of edges in a graph with ...

• 5 Pages

  • Math 106 1.5 Notes

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  Math 106 1.5 Notes

  School: Washington State University

  Course: MATH 106

  ... a. If 0 < │C│ < 1, the graph is compressed vertically by a factor of │C│ ... When C < 0, the graph is scaled and reflected across the reference line. ...

Graph Theory Test Prep View All Graph Theory Study Resources Test Prep

• 17 Pages

  • Quizzes

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  Quizzes

  School: University Of Mississippi

  Course: MATH 781

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  • Final Review

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  Final Review

  School: University Of Mississippi

  Course: MATH 781

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• 6 Pages

  • practice_final_solutions

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  practice_final_solutions

  School: University Of Alberta

  Course: MATH 322

  ... (c). FALSE The following plane graph not 4-colourable(e) since it has a vertex of degree 5. ... This graph isn't planar since it's homeomorphic to K3,3. ...

• 6 Pages

  • 2011exam

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  2011exam

  School: The University Of Sydney

  Course: MATH 2069

  8039 Semester 1, 2011 Faculties of Arts, Economics, Education, Engineering and Science MATH2069/2969: Discrete Mathematics and Graph Theory Lecturer: Alexander Molev Time allowed: 2 hours, plus 10 minutes reading time ...

Most Recent Graph Theory Documents Uploaded

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  • 474_Regression-2

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  474_Regression-2

  School: The University Of Newcastle

  Course: MATH 3510

• 3 Pages

  • 52-B-M-A-S-C-F_(53)

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  52-B-M-A-S-C-F_(53)

  School: The University Of Newcastle

  Course: MATH 3510

• 14 Pages

  • 24immuneNEWsp09-2

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  24immuneNEWsp09-2

  School: The University Of Newcastle

  Course: MATH 3510

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  • Confusing Words Homework-6

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  Confusing Words Homework-6

  School: The University Of Newcastle

  Course: MATH 3510

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  • 1Intro1

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  1Intro1

  School: The University Of Newcastle

  Course: BIO 105

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  • Noe--Fundamentals of Human Resource Management 4e

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  Noe--Fundamentals of Human Resource Management 4e

  School: The University Of Newcastle

  Course: MATH 3510

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  • Business Communications Fall 2016

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  Business Communications Fall 2016

  School: The University Of Newcastle

  Course: MATH 3510

• 7 Pages

  • Exam_1_Practice_Set

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  Exam_1_Practice_Set

  School: The University Of Newcastle

  Course: MATH 3510

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  • Homework 1-Solutions copy

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  Homework 1-Solutions copy

  School: Witwatersrand

  Course: MATHEMATIC 4002

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  • system algorithms notes (Page 892-894)

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  system algorithms notes (Page 892-894)

  School: Vanderbilt University

  Course: MATHEMATIC 275

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  • Discussion 5

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  Discussion 5

  School: Strayer University

  Course: MAT 200

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  • Formworkscaffolding_Part3

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  Formworkscaffolding_Part3

  School: Islamia University Of Bahawalpur

  Course: MATH 102

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  • [math_0209005] Lattice structure for orientations of graphs.html

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  [math_0209005] Lattice structure for orientations of graphs.html

  School: University Of Michigan

  Course: MATH 565

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  • lec10

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  lec10

  School: University Of Michigan

  Course: MATH 565

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  • 01perm

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  01perm

  School: University Of Michigan

  Course: MATH 565

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  • lec9

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  lec9

  School: University Of Michigan

  Course: MATH 565

Graph Theory Essays

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  • Week 7 discussion

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  Week 7 discussion

  School: Regis University

  Course: MATH MT 320

  I've selected Google Maps as my real world application of the graph theory. ... In reference to graph theory, the destinations within Google Maps would be know as the vertices and the connections are known as edges. ...

• 3 Pages

  • Application of Graph Theory

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  Application of Graph Theory

  School: Strayer University

  Course: MAT 311

  Running head: Application of Graph Theory. Application of Graph Theory. Assignment: Application of Graph Theory. ... Application of Graph Theory. ...

• 2 Pages

  • PaperIII_12_2

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  PaperIII_12_2

  School: California Polytechnic State University, San Luis Obispo

  Course: PAPER 12

• 8 Pages

  • PaperIII_12_2

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  PaperIII_12_2

  School: Middlesex County College

  Course: MAT 010a

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  • PaperIII_11_2 (2)

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  PaperIII_11_2 (2)

  School: Middlesex County College

  Course: MAT 010a

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  • Paper9_3

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  Paper9_3

  School: California State University, Dominguez Hills

  Course: MAT 211

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  • MA4235_Paper14

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  MA4235_Paper14

  School: National University Of Singapore

  Course: MA 4235

Graph Theory Homework Help

• 3 Pages

  • MATH 350 Fall 2012 Homework 2 Solutions

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  MATH 350 Fall 2012 Homework 2 Solutions

  School: McGill University

  Course: MATH 350

  Math 350: Graph Theory and Combinatorics Assignment 2: Solutions 1. Graph Connectivity. (a) Suppose v is a cut vertex of G. Let S1 and S2 be components of G − v. Consider the graph ...

• 1 Page

  • HW7

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  HW7

  School: Princeton University

  Course: MAT 375

  MAT375— HOMEWORK 7 1. Show that every 3-edge-connected cubic graph has a perfect matching. ... 2. Let G be a graph and Z ⊆ V (G). Show that the following are equiva- lent: (a) G has a matching covering Z ...

• 2 Pages

  • AMS303 Homework1

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  AMS303 Homework1

  School: Stony Brook University

  Course: AMS 303

  ... Chapter1: 15. If G is a simple graph with at least two vertices, prove that G must contain two or more vertices of the same degree. Proof: Suppose graph G is a simple graph with n>=2 vertices. ... (ii) a bipartite Platonic graph. Answer: Cu...

• 1 Page

  • Homework 9

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  Homework 9

  School: Johns Hopkins University

  Course: AMS 171

  ... 550.171) Homework 9 (Due Friday, April 24, 2015) Objectives: The student will explore properties of prime numbers encrypt/ decrypt simple messages using the RSA method learn about the fundamentals of graph theory: vertices, edges,. ...

• 3 Pages

  • AMS303 Homework3

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  AMS303 Homework3

  School: Stony Brook University

  Course: AMS 303

  ... Chapter4: 22. Find the dual of the graph in Fig. ... Answer: In the original graph, we have n=6, m=10, f=6; in the dual graph, we have n*=6, m*=10, f*=6. Lemma 4.12 indicates that n*=f, m*=m, and f*=n, it holds for this graph. 23. ...

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  • AMS303 Homework4

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  AMS303 Homework4

  School: Stony Brook University

  Course: AMS 303

  AMS303 Homework4. Name: Yuhang Liu. Due Date: 03/02/ 2016. 9. Write down the chromatic polynomials of. (i) the complete graph K 6 ; Answer: k(k-1)(k-2)(k-3)(k-4)(k-5); (ii) the complete bipartite graph K 1,5 ; Answer: k(k-1) 5. ...

• 4 Pages

  • AMS303 Homework2

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  AMS303 Homework2

  School: Stony Brook University

  Course: AMS 303

  ... 5(ii). For which values of r, s, and t is the complete tripartite graph K r,s,t planar? Answer: Since K 3,3 is a non-planar graph, we know that r, s, and t cannot both >=3. ... (i) a non-planar graph that is not homeomorphic to K 5 or K 3,3...

• 2 Pages

  • QUIZ 1- 2 Problem Questions

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  QUIZ 1- 2 Problem Questions

  School: University Of Florida

  Course: STAT 2023

  ... recorded the total number of birds that she rescued. What type of graph would she use to get an estimate of center and spread? ...

• 2 Pages

  • Graph Theory

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  Graph Theory

  School: Michigan Technological University

  Course: MA 2321

  Graph Theory ... The smallest number of flights from Denver to Houghton is 3 There are 3 possible paths of length 3 from Denver to Houghton 2 Graph Theory.nb Printed by Wolfram Mathematica Student Edition

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  • 6

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  6

  School: Tsinghua University

  Course: MATH 11212

  ... 2 2 '( ) ( ) GK GK χ × ≥ ∆ × 。 6. Show that every hamiltonian cubic graph is 3-edge-colourable. ... 剩下的图中每一个点均为1度点， 故可以染成一种颜色，而H 圈可以染成两种颜色，故G 为3边可染 �...

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  • µÚÁùÖÜ×÷Òµ_237704637

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  µÚÁùÖÜ×÷Òµ_237704637

  School: Tsinghua University

  Course: MATH 11212

  ... u 2 , v 2 ) such that either u 1 u 2 ∈ E(G) and v 1 = v 2 , or v 1 v 2 ∈ E(H) and u 1 = u 2 .). Show that every hamiltonian cubic graph is 3-edge-colourable. Show that, for any graph G,; Show that.

• 2 Pages

  • hw2spr13

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  hw2spr13

  School: East Tennessee State University

  Course: MATH 5340

  Graph Theory Homework Due: February 5, 2013 1. Show that the graphs F1 and F2 are isomorphic by proving the existence of an isomorphism from F1 to F2 or of an isomorphism from F2 to F1. ● ● ● ● w1 x1 w2 x2 ...

• 2 Pages

  • Homework-7-Solutions

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  Homework-7-Solutions

  School: Université De Saint-Boniface

  Course: MATH 2070

  ... 2. For any connected graph G and any bridge e = 1x, yl, there are exactly two components of G e: the component containing x and the component containing y. If G is a tree, then any edge 1u, vl is a bridge since the only uv path in G is the ...

• 4 Pages

  • Homework-6-Solutions

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  Homework-6-Solutions

  School: Université De Saint-Boniface

  Course: MATH 2070

  ... Thus, no set of size at most k 1 is a cut-set and so κ(G) k. 3. For any graph G, κ(G)  λ(G)  δ(G), thus if κ(G) δ(G), this implies that κ(G) = λ(G) = δ(G). 4. (a) Let x, y 2 V (G5,2) be two vertices in the Petersen graph. ...

• 3 Pages

  • Homework-4-Solutions

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  Homework-4-Solutions

  School: Université De Saint-Boniface

  Course: MATH 2070

  ... different adjacency matrices. 4. By question 2, G is a graph with degree sequence 3, 2, 2, 2, 1 and the vertex of degree 3 is ... (b) Only one direction is true. If there is one vertex joined to all others, then the graph is connected. ...

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  • Homework-7

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  Homework-7

  School: Université De Saint-Boniface

  Course: MATH 2070

  ... 5. Prove Theorem 3.1.5: Let T be a tree with of order k +1 and let G be a graph with δ(G) ≥ k. Show that G has a subgraph that is isomorphic to T. [Note: The induction proof in your book is only a sketch. ...

Graph Theory Notes

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  • c2s3 problem 8 Solution

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  c2s3 problem 8 Solution

  School: Louisiana State University

  Course: MATH 4171

  Section 2.3, #8 March 29, 2012 Problem 8 • (a) Show that for every connected graph G there is a spanning tree T of G such that diam(T) ≤ 2diam(G). • (b) Prove or disprove: For every positive integer k, there is a connected graph G and a spanni...

• 1 Page

  • 412-01f15

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  412-01f15

  School: University Of Illinois, Urbana Champaign

  Course: MATH 412

  ... 3. Let G be a simple graph with adjacency matrix A. Prove that A is the incidence matrix of some simple graph if and only if G is 2-regular and has ...

• 6 Pages

  • solutions_9

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  solutions_9

  School: Carnegie Mellon University

  Course: MATH 21-484: A

  HW8 21-484 Graph Theory Name (andrewid) - X 1, Diestel 7.16: Prove the Erd˝os-Sós conjecture for the case when the tree considered is a path. (Hint. Use Exercise 8 of Chapter 1.) We seek to prove that the maximal number of edges in a graph with ...

• 5 Pages

  • Math 106 1.5 Notes

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  Math 106 1.5 Notes

  School: Washington State University

  Course: MATH 106

  ... a. If 0 < │C│ < 1, the graph is compressed vertically by a factor of │C│ ... When C < 0, the graph is scaled and reflected across the reference line. ...

• 1 Page

  • c1s1 problem 16 Solution

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  c1s1 problem 16 Solution

  School: Louisiana State University

  Course: MATH 4171

  Section 1.1, #16 January 31, 2012 Problem 16 Let G1 and G2 be self-complementary graphs, where G2 has even order n. Let G be the graph obtained from G1 and G2 by joining each vertex of G2 whose degree is less than n/2 to every vertex of G1. Show t...

• 8 Pages

  • Test 1 Solution 2013

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  Test 1 Solution 2013

  School: University Of North Carolina, Charlotte

  Course: MATH 3116

  Math 3116 Name: Dr. Franz Rothe June 24, 2013 08SUM\3116_2013t1. tex 1 Solution of Test Lemma 1 (Return lemma). In a graph all vertices of which have degree at least two, a cycle exists. 10 Problem 1.1. Prove the Lemma. Answer. One can continue a ...

• 17 Pages

  • MATH 423 Chapter 1 Notes

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  MATH 423 Chapter 1 Notes

  School: University Of Victoria

  Course: MATH 423

  ... Kieka Mynhardt Fundamental Law of Graph Theory: Draw a Picture! Text: ... He pursued problems in combinatorics, graph theory, number theory, classical analysis, approximation theory, set theory, and probability theory. 5 ...

• 12 Pages

  • t02s_y2008

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  t02s_y2008

  School: Allan Hancock College

  Course: MATH 2069

  The University of Sydney MATH2969/2069 Graph Theory Tutorial 2 (Week 9) 2008 1. Show that the graph on the left is Hamiltonian, but that the other two are not. Solution. To show that the graph is Hamiltonian, simply find a Hamiltonian cycle. (That...

• 7 Pages

  • solutions_3

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  solutions_3

  School: Carnegie Mellon University

  Course: MATH 21-484: A

  HW3 21-484 Graph Theory SOLUTIONS (hbovik) - Q 1: Suppose that 13 people are each dealt 4 cards from a standard 52-card deck. Show that it is possible for each of them to select one of their cards so that no two people have selected a card of the ...

• 6 Pages

  • solutions_6

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  solutions_6

  School: Carnegie Mellon University

  Course: MATH 21-484: A

  HW6 21-484 Graph Theory Name (andrewid) - X 1: Draw K7 on a torus with no edge crossings. A quick calculation reveals that an embedding of K7 on the torus is a 2-cell embedding. At that point, it is hard to go wrong if you start drawing C3 faces, ...

• 2 Pages

  • c3s1 problem 10 Solution

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  c3s1 problem 10 Solution

  School: Louisiana State University

  Course: MATH 4171

  Section 3.1, #10 May 4, 2012 Problem 10 (a) Prove that every Eulerian graph of odd order has three vertices of the same degree. (b) Prove that for each odd integer n ≥ 3, there exists exactly one Eulerian graph of order n containing exactly thre...

• 6 Pages

  • quiz01bs

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  quiz01bs

  School: Allan Hancock College

  Course: MATH 2069

  The University of Sydney School of Mathematics and Statistics Solutions to Quiz 1 MATH2069/2969: Discrete Mathematics and Graph Theory Semester 1, 2009 Name: SID: Enrolled in (please circle): MATH2069 MATH2969 This quiz lasts 45 minutes. There are...

• 4 Pages

  • Assignment 1 Solution

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  Assignment 1 Solution

  School: Dalhousie University

  Course: MATH 3330

  Math 3330 - Solution set for Assignment 1 - Fall 2011. 1. Let n ≥ 2, and G be a simple graph with n vertices. Prove that there are vertices v and w of G such that deg(v) = deg(w). Solution: Let G be a simple graph with n vertices. Then there are...

• 11 Pages

  • Homework 3-Solutions copy

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  Homework 3-Solutions copy

  School: University Of California, Santa Barbara

  Course: MATH 137

  HOMEWORK 3 SOLUTIONS (1) Show that for each n ∈ N the complete graph Kn is a contraction of Kn,n. Solution: We describe the process for several small values of n. In this way, we can discern the inductive step. Clearly, K1, which is just one ver...

• 2 Pages

  • week4lab

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  week4lab

  School: DeVry University, Ft. Washington

  Course: ACC Math 221

  ... Show your work. 9. Discuss how the Excel command "countif" was used in the table above. Why were the ranges (such as f2:f23) used as they were? The “countif” was used to count the occurrence frequencies with each characteristic. Pa...

• 6 Pages

  • quiz02bs

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  quiz02bs

  School: Allan Hancock College

  Course: MATH 2069

  The University of Sydney School of Mathematics and Statistics Solutions to Quiz 2 MATH2069/2969: Discrete Mathematics and Graph Theory Semester 1, 2009 Name: SID: Enrolled in (please circle): MATH2069 MATH2969 This quiz lasts 30 minutes. There are...

Graph Theory Test Prep

• 17 Pages

  • Quizzes

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  Quizzes

  School: University Of Mississippi

  Course: MATH 781

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• 20 Pages

  • Final Review

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  Final Review

  School: University Of Mississippi

  Course: MATH 781

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• 6 Pages

  • practice_final_solutions

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  practice_final_solutions

  School: University Of Alberta

  Course: MATH 322

  ... (c). FALSE The following plane graph not 4-colourable(e) since it has a vertex of degree 5. ... This graph isn't planar since it's homeomorphic to K3,3. ...

• 6 Pages

  • 2011exam

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  2011exam

  School: The University Of Sydney

  Course: MATH 2069

  8039 Semester 1, 2011 Faculties of Arts, Economics, Education, Engineering and Science MATH2069/2969: Discrete Mathematics and Graph Theory Lecturer: Alexander Molev Time allowed: 2 hours, plus 10 minutes reading time ...

• 6 Pages

  • Math 106 Final Exam Study Guide Part 1

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  Math 106 Final Exam Study Guide Part 1

  School: Washington State University

  Course: MATH 106

  ... 5. Sketch a graph of the following piecewise-defined function. ... 14. From the text, p. 199, #73 (Reading a graph and operations with functions). ...

• 2 Pages

  • AMS 303 Midterm1 Solutions

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  AMS 303 Midterm1 Solutions

  School: Stony Brook University

  Course: AMS 303

  ... Spring 2015 AMS 303 First Test 57 points (FIRST TEST) 1. (10pts 5,5): a) Face Coloring -- 2 colors; b) Edge Coloring -- 4 colors 2. (4 pts) If G*is a planar graph with all boundaries >=4, then G* has a vertex of deg <=3. 3. (6 pts) k(k-1...

• 3 Pages

  • Quiz 5-6 Practice Questions

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  Quiz 5-6 Practice Questions

  School: University Of Florida

  Course: STAT 2023

  Quiz 5. A track and field coach wants to analyze the effect of sports drinks on the performance of his athletes. He decides ...

• 2 Pages

  • QUIZ 3-4 Q & A

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  QUIZ 3-4 Q & A

  School: University Of Florida

  Course: STA 2023

  QUIZ 3. A least squares regression line was created to predict the Exam 3 score of STA 2023 students based on their Exam 1 score. ...

• 2 Pages

  • Quiz 7-8 Question and Answers

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  Quiz 7-8 Question and Answers

  School: University Of Florida

  Course: STAT 2023

  Quiz 7. In 2006, the General Social Survey asked, "Do you see yourself as someone who is sociable?" For this question ...

• 2 Pages

  • Quiz 9-10 Practice Questions

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  Quiz 9-10 Practice Questions

  School: University Of Florida

  Course: STAT 2023

  Quiz 9. What is the definition of Type 2 error? Failing to reject the null hypothesis when the null hypothesis is really false. ...

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  • 4

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  4

  School: Tsinghua University

  Course: MATH 11212

  ... | ( )| | NA A ≥ G 7. 2n G G 1 M 2 M 1 2 M M ⊕ G 8. Let G :=G[X,Y]be a bipartite graph such that ( ) 1 dx ≥ for all X x∈ and ( ) ( ) dx dy ≥ for all xy E ∈ , where x X ∈ and y Y ∈ . Show that G has a matching covering every vert...

• 2 Pages

  • 5

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  5

  School: Tsinghua University

  Course: MATH 11212

  ... i i o it V V S n WGS S n ≤ ≤ + ≡ ⇒ 是奇数 。 易得 0 ( ) | | (mod2) w GS S n - - ≡ 。 3. Let G be a graph, and let F := G[X] be an induced subgraph of V , where X is a subset of V . Form a graph H from G as follows. ...

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  • final-info

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  final-info

  School: University Of California, Davis

  Course: MAT 125A

  ... General information. The final will cover everything we have learned in class as well as homeworks 1-10, with a focus on graph theory (which is what we learned in the second half of the quarter). ... Topics on Graph Theory. ...

• 6 Pages

  • 2010exam

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  2010exam

  School: The University Of Sydney

  Course: MATH 2069

  8039 Semester 1, 2010 Faculties of Arts, Economics, Education, Engineering and Science MATH2069/2969: Discrete Mathematics and Graph Theory Lecturer: Alexander Molev Time allowed: 2 hours, plus 10 minutes reading time ...

• 7 Pages

  • 2009exam

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  2009exam

  School: The University Of Sydney

  Course: MATH 2069

  ... The University of Sydney Faculties of Arts, Economics, Education, Engineering and Science MATH2069/2969: Discrete Mathematics and Graph Theory Lecturer: Anthony Henderson Time allowed: 2 hours, plus 10 minutes reading time ...

• 2 Pages

  • Graph Theory Tenative Schedule

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  Graph Theory Tenative Schedule

  School: East Tennessee State University

  Course: MATH 5340

  TENTATIVE SCHEDULE - SPRING 2013 Topics and times are tentative and subject to change. 1. Introduction to Graph Theory 2. Basics, Special Graphs, Graph Operations 3. Degree Sequences, Regular Graphs, Existence Proof ...