Determine if an Euler path or an Euler circuit exists so that a person who plows the roads does not have to pass over any street twice. If an Euler path or an Euler circuit exists, find one. The intersections of the streets have been labeled for you.

A) Euler path: C-B-A-H-G-I-J-F-E-D-C-F
B) Euler circuit: B-A-H-G-B-C-D-E-F-G-I-J-F-C-B
C) Euler path: B-A-H-G-B-C-D-E-F-G-I-J-F-C
D) neither exists

Question

Determine if an Euler path or an Euler circuit exists so that a person who plows the roads does not have to pass over any street twice. If an Euler path or an Euler circuit exists, find one. The intersections of the streets have been labeled for you.

A) Euler path: C-B-A-H-G-I-J-F-E-D-C-F 
B) Euler circuit: B-A-H-G-B-C-D-E-F-G-I-J-F-C-B 
C) Euler path: B-A-H-G-B-C-D-E-F-G-I-J-F-C 
D) neither exists

Quizplus · Accepted Answer

The Answer is C

Determine If an Euler Path or an Euler Circuit Exists