(a)

The kind of graph that can be used to model a highway system between major cities where there is an edge between the vertices representing cities if there is an interstate highway between them.

To determine

(b)

The kind of graph that can be used to model a highway system between major cities where there is an edge between the vertices representing cities for each interstate highway between them.

To determine

(c)

The kind of graph that can be used to model a highway system between major cities where there is an edge between the vertices representing cities for each interstate highway between them, and there is a loop at the vertex representing a city if there is an interstate highway that circles this city.

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Chapter 10.1, Problem 1E

Chapter 10.1, Problem 3E

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What kind of graph (from Table 1) can be used to modela highway system between major cities wherea) there is an edge between the vertices representingcities if there is an interstate highway between them?b) there is an edge between the vertices representingcities for each interstate highway between them?c) there is an edge between the vertices representingcities for each interstate highway between them, andthere is a loop at the vertex representing a city if thereis an interstate highway that circles this city?

Consider a graph G where the vertices are points (a, b) with integer coordinates, and {(ai, b;), (aj, b;)} is an edge whenever a; + aj = b; + b;. Show that G is bipartite if and only if it has at most two vertices on the line y = x.

2.) Determine how many backtracks are required to use every edge at least once returning to where you started. Indicate where the backtracks occur.

Chapter 10 Solutions

Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991

Ch. 10.1 - Draw graph models, stating the type of graph...Ch. 10.1 - Prob. 2E Ch. 10.1 - For Exercises 3-5, determine whether the graph...Ch. 10.1 - For Exercises 3-5, determine whether the graph...Ch. 10.1 - For Exercises 3-5, determine whether the graph...Ch. 10.1 - For Exercises 3-5, determine whether the graph...Ch. 10.1 - For Exercises 3-5, determine whether the graph...Ch. 10.1 - For Exercises 3-5, determine whether the graph...Ch. 10.1 - For Exercises 3-5, determine whether the graph...Ch. 10.1 - For each undirected graph in Exercises 3-9 that is...

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(a) The kind of graph that can be used to model a highway system between major cities where there is an edge between the vertices representing cities if there is an interstate highway between them.

(a) The kind of graph that can be used to model a highway system between major cities where there is an edge between the vertices representing cities if there is an interstate highway between them.

(b) The kind of graph that can be used to model a highway system between major cities where there is an edge between the vertices representing cities for each interstate highway between them.

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Chapter 10 Solutions

(a)

The kind of graph that can be used to model a highway system between major cities where there is an edge between the vertices representing cities if there is an interstate highway between them.

(b)

The kind of graph that can be used to model a highway system between major cities where there is an edge between the vertices representing cities for each interstate highway between them.