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 induct
HOMEWORK 4
8 PROBLEMS DUE: WEDNESDAY, MARCH 2, 2011
(1) Draw the tree whose Prfer code is (1, 1, 1, 1, 6, 5). u (2) Determine which trees have Prfer codes that have distinct values in all positions. u
Math 137
Exam 3 Review Problems
Fall 2008
Note: This is NOT a practice exam. It is a collection of problems to help you review some of the
material for the exam and to practice some kinds of problems.
Math 137
Quiz 18,19- Student Strategies
Spring 2008
The following examples show work done by fourth graders. They were solving this problem:
451 287
Group I
B
A
451 100 351
451 200 251
351 100 251
25
Questions and Concerns
Promotion and Marketing:
Who and what role will your management play in the marketing and promotion
of the record, if it be any?
For promotion, my management will be going thr
MATH 137A Midterm
Friday, February 11, 2011
Solutions
1. Determine whether K4 contains the following (give an example or a proof of nonexistence). (a) A walk that is not a trail. (b) A trail that is n
HOMEWORK 3
8 PROBLEMS DUE: WEDNESDAY, FEBRUARY 16, 2011
(1) Show that for each n N the complete graph Kn is a contraction of Kn,n . (2) For n N, can Kn be a contraction of Km,n if m < n? (3) The compl
HOMEWORK 2
SOLUTIONS
(1) Let G be a simple graph where the vertices correspond to each of the squares of an 8 8 chess board and where two squares are adjacent if, and only if, a knight can go from one
HOMEWORK 2
8 PROBLEMS DUE: WEDNESDAY, FEBRUARY 2, 2011
(1) Let G be a simple graph where the vertices correspond to each of the squares of an 8 8 chess board and where two squares are adjacent if, and
HOMEWORK 1
SOLUTIONS
(1) Let A = cfw_3, 4, 5, B = cfw_3, 4, C = cfw_4. Find D = A B C . Solution: Recall from class that A B = (A \ B ) (B \ A). That is, A B contains all elements that lie in A but no
HOMEWORK 1
8 PROBLEMS DUE: WEDNESDAY, JANUARY 19, 2011
(1) Let A = cfw_3, 4, 5, B = cfw_3, 4, C = cfw_4. Find D = A B C . (2) Suppose 70% of Californians like cheese, 80% like apples and 10% like neit
MATH 012-_ Prealgebra Part 2
Instructor Name:_
Term_
Office hours: _
Phone: 732 224 _
email: _
TENTATIVE CLASS SCHEDULE changes will be made as appropriate
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NUMBER
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