Discrete Mathematics
5th Edition
ISBN: 9780134689562
Author: Dossey, John A.
Publisher: Pearson,
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Chapter 4.1, Problem 43E
(a)
To determine
Whether the given pairs of the graphs are isomorphic or not.
(b)
To determine
Whether the given pairs of the graphs are isomorphic or not.
(c)
To determine
Whether the given pairs of the graphs are isomorphic or not.
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Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. The company purchases natural gas from two companies: Southern Gas and Northwest Gas.
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From
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Chapter 4 Solutions
Discrete Mathematics
Ch. 4.1 - In Exercises 1–4, list the set of edges and set of...Ch. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - In Exercises 5–8, draw a diagram representing the...Ch. 4.1 - Prob. 7ECh. 4.1 - In Exercises 5–8, draw a diagram representing the...Ch. 4.1 - Prob. 9ECh. 4.1 - In Exercises 9–14, determine whether a graph is...
Ch. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Draw the graph with ν = {1, 2, … , 10} as its set...Ch. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Show that there are an even number of vertices...Ch. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - In Exercises 26–29, find the adjacency matrix and...Ch. 4.1 - Prob. 29ECh. 4.1 - In Exercises 30 and 31, construct the graph for...Ch. 4.1 - Prob. 31ECh. 4.1 - In Exercises 32 and 33, construct the graph for...Ch. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 4.1 - In Exercises 35-37, can each matrix be an...Ch. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Prob. 41ECh. 4.1 - Are the pairs of graphs in (a), (b), and (c)...Ch. 4.1 - Are the pairs of graphs in (a), (b), and (c)...Ch. 4.1 - Draw all the non isomorphic graphs with three...Ch. 4.1 - Prob. 45ECh. 4.1 - Draw all the nonisomorphic graphs with five...Ch. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - Suppose a graph has n vertices, each with degree...Ch. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Suppose Mr. and Mrs. Lewis attended a bridge party...Ch. 4.1 - Prove that if a graph has at least two vertices,...Ch. 4.2 - In Exercises 1–4, determine whether the multigraph...Ch. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - In Exercises 9 and 10, perform the following...Ch. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - In Exercises 18–23, determine whether the...Ch. 4.2 - Prob. 19ECh. 4.2 - In Exercises 18–23, determine whether the...Ch. 4.2 - Prob. 21ECh. 4.2 - In Exercises 18–23, determine whether the...Ch. 4.2 - Prob. 23ECh. 4.2 - In Exercises 24–29, determine whether the...Ch. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - Prob. 37ECh. 4.2 - An old childhood game asks children to trace a...Ch. 4.2 - Prob. 39ECh. 4.2 - In 1859, Sir William Rowan Hamilton, a famous...Ch. 4.2 - Give examples of connected graphs satisfying each...Ch. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Are the following two graphs isomorphic? Justify...Ch. 4.2 - Prob. 51ECh. 4.2 - A bipartite graph is a graph in which the vertices...Ch. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.2 - Prob. 55ECh. 4.2 - Prob. 56ECh. 4.2 - Prob. 57ECh. 4.2 - Prob. 58ECh. 4.2 - Prob. 59ECh. 4.2 - Prob. 60ECh. 4.2 - Prob. 61ECh. 4.2 - Prob. 62ECh. 4.2 - Prob. 64ECh. 4.2 - Prob. 65ECh. 4.3 - In Exercises 1–4, use the breadth-first search...Ch. 4.3 - In Exercises 1–4, use the breadth-first search...Ch. 4.3 - Prob. 3ECh. 4.3 - In Exercises 1–4, use the breadth-first search...Ch. 4.3 - In Exercises 5–8, determine the distance from S to...Ch. 4.3 - In Exercises 5–8, determine the distance from S to...Ch. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - Prob. 14ECh. 4.3 - For the following graph, determine the number of...Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.4 - In Exercises 1–8, find the chromatic number of the...Ch. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - It might be supposed that if a graph has a large...Ch. 4.4 - Prob. 13ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Suppose is a graph with three vertices. How many...Ch. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - Prob. 28ECh. 4.4 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - Show that it is possible to assign one of the...Ch. 4.4 - Prob. 35ECh. 4.4 - Prove Theorem 4.9 by mathematical induction on the...Ch. 4.4 - Suppose that each vertex of a graph is such that...Ch. 4.5 - In Exercises 1–4, list the vertices and directed...Ch. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.5 - Prob. 4ECh. 4.5 - Prob. 5ECh. 4.5 - Prob. 6ECh. 4.5 - Prob. 7ECh. 4.5 - Prob. 8ECh. 4.5 - Prob. 9ECh. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - Prob. 12ECh. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Prob. 20ECh. 4.5 - Prob. 21ECh. 4.5 - Prob. 22ECh. 4.5 - Prob. 23ECh. 4.5 - Prob. 24ECh. 4.5 - Prob. 25ECh. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - Prob. 28ECh. 4.5 - Prob. 29ECh. 4.5 - Prob. 30ECh. 4.5 - Prob. 31ECh. 4.5 - Prob. 32ECh. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4.5 - Prob. 37ECh. 4.5 - Prob. 39ECh. 4.5 - Prob. 40ECh. 4.5 - Prob. 41ECh. 4.5 - Prob. 42ECh. 4.5 - Prob. 43ECh. 4.5 - Prob. 44ECh. 4.5 - Prob. 45ECh. 4.5 - Prob. 46ECh. 4.5 - Prob. 47ECh. 4.5 - Prob. 48ECh. 4.5 - Prob. 49ECh. 4.5 - Prob. 51ECh. 4.5 - Prob. 52ECh. 4.5 - Prob. 53ECh. 4.5 - Prob. 54ECh. 4.5 - Prob. 55ECh. 4.5 - Prob. 56ECh. 4.5 - Prob. 57ECh. 4.5 - Prob. 58ECh. 4.5 - Prob. 59ECh. 4.5 - Prob. 60ECh. 4.5 - Write a breadth-first search algorithm for...Ch. 4.5 - Prob. 62ECh. 4.5 - Prob. 63ECh. 4.5 - Prob. 64ECh. 4.5 - Prob. 65ECh. 4.5 - Prob. 66ECh. 4.5 - Prob. 67ECh. 4.5 - In Exercises 67–70, determine the distance from S...Ch. 4.5 - In Exercises 67–70, determine the distance from S...Ch. 4.5 - Prob. 70ECh. 4.5 - Prob. 71ECh. 4.5 - Prob. 72ECh. 4.5 - Prob. 73ECh. 4.5 - Prob. 74ECh. 4.5 - Prob. 75ECh. 4.5 - Determine whether the following pairs of directed...Ch. 4.5 - Determine whether the following pairs of directed...Ch. 4.5 - Prob. 78ECh. 4.5 - Prob. 79ECh. 4.5 - Prob. 80ECh. 4.5 - Prob. 82ECh. 4.5 - Prob. 83ECh. 4.5 - Prob. 84ECh. 4 - Prob. 1SECh. 4 - Prob. 2SECh. 4 - Prob. 3SECh. 4 - Prob. 4SECh. 4 - Prob. 5SECh. 4 - Prob. 6SECh. 4 - Prob. 7SECh. 4 - Prob. 8SECh. 4 - Prob. 9SECh. 4 - Prob. 10SECh. 4 - Prob. 11SECh. 4 - Prob. 12SECh. 4 - Prob. 13SECh. 4 - Prob. 14SECh. 4 - Is the property “is connected” a graph isomorphism...Ch. 4 - Prob. 16SECh. 4 - Prob. 17SECh. 4 - Prob. 18SECh. 4 - Prob. 19SECh. 4 - Prob. 20SECh. 4 - Prob. 21SECh. 4 - Prob. 22SECh. 4 - Prob. 23SECh. 4 - Prob. 24SECh. 4 - Prob. 25SECh. 4 - Prob. 26SECh. 4 - Prob. 28SECh. 4 - Prob. 29SECh. 4 - Prob. 30SECh. 4 - Prob. 31SECh. 4 - Prob. 32SECh. 4 - Prob. 34SECh. 4 - Prob. 35SECh. 4 - Prob. 36SECh. 4 - Prob. 37SECh. 4 - Prob. 38SECh. 4 - Prob. 39SECh. 4 - Prob. 40SECh. 4 - Prob. 6CPCh. 4 - Prob. 9CPCh. 4 - Prob. 14CP
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