Let G = (V, E) be a graph and let u and v be vertices. Assume that there is a walk v1, e1, V2,...,Vn-1, en-1, Vn such that V₁ = u and V₁ = v and assume that amongst all such walks this one has been chosen so that n is as small as possible. Explain why the walk contains no repeated vertices.
Let G = (V, E) be a graph and let u and v be vertices. Assume that there is a walk v1, e1, V2,...,Vn-1, en-1, Vn such that V₁ = u and V₁ = v and assume that amongst all such walks this one has been chosen so that n is as small as possible. Explain why the walk contains no repeated vertices.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.5: Reflections And Symmetry
Problem 20E
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