62. Each of the accompanying graphs represent the sidewalks to be cleaned in a fancy garden (one pass over a sidewalk will clean it). Can the cleaning be done using an Euler circuit? If so, show the circuit in each graph by numbering the edges in the order the Euler circuit uses them. If not, explain why no Euler circuit is possible. (a) (b) (c)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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62. Each of the accompanying graphs represent the
sidewalks to be cleaned in a fancy garden (one pass over
a sidewalk will clean it). Can the cleaning be done using
an Euler circuit? If so, show the circuit in each graph by
numbering the edges in the order the Euler circuit uses
them. If not, explain why no Euler circuit is possible.
(a)
(b)
(c)
Transcribed Image Text:62. Each of the accompanying graphs represent the sidewalks to be cleaned in a fancy garden (one pass over a sidewalk will clean it). Can the cleaning be done using an Euler circuit? If so, show the circuit in each graph by numbering the edges in the order the Euler circuit uses them. If not, explain why no Euler circuit is possible. (a) (b) (c)
Expert Solution
Step 1

An Euler circuit is a circuit that uses every edge of a graph exactly once. An Euler path starts and ends at different vertices. An Euler circuit starts and ends at the same vertex.

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