Most Popular Graph Theory Documents

AMS303 Homework1
School: SUNY Stony Brook
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...

MATH2069_DiscreteMathematicsAndGraphTheory_2014_Semester_1_quiz01asol(1)
School: 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 ...
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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. ...

Application of Graph Theory
School: Strayer
Course: MAT 311
Running head: Application of Graph Theory. Application of Graph Theory. Assignment: Application of Graph Theory. ... Application of Graph Theory. ...
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AMS303 Homework1
School: SUNY Stony Brook
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...

Homework 9
School: Johns Hopkins
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,. ...

AMS303 Homework3
School: SUNY Stony Brook
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. ...

AMS303 Homework4
School: SUNY Stony Brook
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(k1)(k2)(k3)(k4)(k5); (ii) the complete bipartite graph K 1,5 ; Answer: k(k1) 5. ...
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graph
School: Queensland Tech
Course: BSB 119
Source: EIU, Economist Intelligence Unit. Source: EIU, Economist Intelligence Unit. REFERENC: Economist Intelligence Unit. (2010). ...
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c1s1 problem 16 Solution
School: LSU
Course: MATH 4171
Section 1.1, #16 January 31, 2012 Problem 16 Let G1 and G2 be selfcomplementary 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...

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 ...

Test 1 Solution 2013
School: UNC 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 ...

c2s3 problem 8 Solution
School: LSU
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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2011exam
School: University Of Sydney
Course: MATH 2962
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 ...

AMS 303 Midterm1 Solutions
School: SUNY Stony Brook
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(k1...