Prove or disprove the following. Let G = (V, E) be a simple undirected graph without loops, where |V|> 2. Ju E V 3v E V such that 8(u) = 0 and 8(v) = |V| – 1, where d(v) is the degree of verte

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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Prove or disprove the following.
Let G = (V, E) be a simple undirected graph without loops, where |V|> 2.
Eu E V 3v E V such that 8(u) = 0 and 8(v) = |V| – 1, where d(v) is the degree of vertex v.
Transcribed Image Text:Prove or disprove the following. Let G = (V, E) be a simple undirected graph without loops, where |V|> 2. Eu E V 3v E V such that 8(u) = 0 and 8(v) = |V| – 1, where d(v) is the degree of vertex v.
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