   Chapter 10.1, Problem 1TY ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
106 views

# Let G be a graph and let v and w be vertices in G. A walk from v to w is _____ A trail from v to w is ______ A path from v to w is ______ A closed walk is ____. A circuit is _____. A simple circuit is ____ A trivial walk is _______ Vertices v and w are connected if, and only if, ____

To determine

(a)

To fill:

A walk from v to w is _____.

Explanation

Given information:

Let G be a graph and let v and w be vertices in G.

Calculation:

Let G be a graph, and let v and w be vertices in G.

A walk fromvtow Is a finite alternating sequence of adjacent vertices and edges of

G.

Thus a walk has the form v0e1v1e2

To determine

(b)

To fill:

A trail from v to w is _____.

To determine

(c)

To fill:

A path from v to w is _____.

To determine

(d)

To fill:

A closed walk is _____.

To determine

(e)

To fill:

A circuit is _____.

To determine

(f)

To fill:

A simple circuit is _____.

To determine

(g)

To fill:

A trivial walk is _____.

To determine

(h)

To fill:

Vertices v and w are connected if, and only if, _____.

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