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Let G = (V, E) be a k-connected graph, let æ E V, and let B C V\{x} such that |B| > k. Show that there are k paths from x to a vertex of B such that any two of the paths have only æ in common.

Let G = (V, E) be a k-connected graph, let æ E V, and let B C V\{x} such that |B| > k. Show that there are k paths from x to a vertex of B such that any two of the paths have only æ in common.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 74EQ
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Let G = (V, E) be a k-connected graph, let æ E V, and let B C V\{x} such that |B| > k. Show that there are k paths from æ to a vertex of B such that any two of the paths have only x in common.
Transcribed Image Text:Let G = (V, E) be a k-connected graph, let æ E V, and let B C V\{x} such that |B| > k. Show that there are k paths from æ to a vertex of B such that any two of the paths have only x in common.
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