4.1.2. (-) Give a counterexample to the following statement, add a hypothesis to correct it, and prove the corrected statement: If e is a cut-edge of G, then at least one vertex of e is a cut-vertex of G.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 29E
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4.1.2. (-) Give a counterexample to the following statement, add a hypothesis to correct
it, and prove the corrected statement: If e is a cut-edge of G, then at least one vertex of
e is a cut-vertex of G.
Transcribed Image Text:4.1.2. (-) Give a counterexample to the following statement, add a hypothesis to correct it, and prove the corrected statement: If e is a cut-edge of G, then at least one vertex of e is a cut-vertex of G.
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