Find a and b.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question

(a) Let G be a simple undirected graph with 18 vertices and 53 edges such that the degrees
of G are only 3 and 7. Suppose there are a vertices of degree 7 and b vertices of
degree 3. Find a and b. To receive any credit for this problem you must write complete
sentences, explain all of your work, and not leave out any details.

problem 1, continued
(b) Recall that a graph G is said to be k-regular if and only if every vertex in G has degree
k. Draw all 3-regular simple graphs with 12 edges (mutually non-isomorphic). Hint:
there are six of them. To receive credit for this problem, you should explain, as well as
possible, why all of your graphs are mutually non-isomorphic.

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