(a) Explanation Theorem used: Euler theorem: “For a connected graph, the following statements are true, a) A graph has no odd vertices (all even vertices) has at least one Euler path, which is also an Euler circuit. b) A graph with exactly two odd vertices has at least one Euler path but no Euler circuits (each Euler path must begin at one of the odd vertices and it will end at the other odd vertex). c) A graph with more than two odd vertices has neither an Euler path nor an Euler circuit”. Calculation: Consider the intersecting point of the streets as vertices and the streets approaching the junctions as edges. The intersecting points of the streets are named as A , B , C , D , E , F , G ... (b) To determine The position, where the residents need to starts their walk.

10th Edition

ISBN: 9780135834954

Author: Angel

Publisher: PEARSON

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Question

Chapter 13.2, Problem 33E

(a)

To determine

Whether the residents in Tree Tops subdivision will be able to establish a path through their communities so that each street block is walked exactly one time.

(b)

To determine

The position, where the residents need to starts their walk.

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Chapter 13.2, Problem 32E

Chapter 13.2, Problem 34E

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Chapter 13 Solutions

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Ch. 13.1 - In Exercises 1-8, fill in the blanks with an...Ch. 13.1 - In Exercises 1-8, fill in the blanks with an...Ch. 13.1 - In Exercises 1-8, fill in the blanks with an...Ch. 13.1 - In Exercises 1-8, fill in the blanks with an...Ch. 13.1 - Prob. 5E Ch. 13.1 - In Exercises 1-8, fill in the blanks with an...Ch. 13.1 - Prob. 7E Ch. 13.1 - Prob. 8E Ch. 13.1 - In Exercises 9-14, create a graph with the given...Ch. 13.1 - In Exercises 9-14, create a graph with the given...

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Whether the residents in Tree Tops subdivision will be able to establish a path through their communities so that each street block is walked exactly one time.

Solution Summary: The author explains the Euler theorem, which states that each street block is walked exactly one time. The graph that represents the Tree Tops subdivision is shown in Figure 1.

Whether the residents in Tree Tops subdivision will be able to establish a path through their communities so that each street block is walked exactly one time.

The position, where the residents need to starts their walk.

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Chapter 13 Solutions