Solved: In the graph below, determine whether the following walks are trails, paths

Chapter 10, Problem 2

(choose chapter or problem)

In the graph below, determine whether the following walks are trails, paths, closed walks, circuits, simple circuits, or just walks.

a. \(v_{1} e_{2} v_{2} e_{3} v_{3} e_{4} v_{4} e_{5} v_{2} e_{2} v_{1} e_{1} v_{0}\)

b. \(v_{2} v_{3} v_{4} v_{5} v_{2}\)

c. \(v_{4} v_{2} v_{3} v_{4} v_{5} v_{2} v_{4}\)

d. \(v_{2} v_{1} v_{5} v_{2} v_{3} v_{4} v_{2}\)

e. \(v_{0} v_{5} v_{2} v_{3} v_{4} v_{2} v_{1}\)

f. \(v_{5} v_{4} v_{2} v_{1}\)

Text Transcription:

v_1 e_2 v_2 e_3 v_3 e_4 v_4 e_5 v_2 e_2 v_1 e_1 v_0

v_2 v_3 v_4 v_5 v_2

v_4 v_2 v_3 v_4 v_5 v_2 v_4

v_2 v_1 v_5 v_2 v_3 v_4 v_2

v_0 v_5 v_2 v_3 v_4 v_2 v_1

v_5 v_4 v_2 v_1