If G is a (not necessarily simple) graph with n vertices where each vertex has degree greater than or equal to (n−1)/2, is the diameter of G necessarily 2 or less? Either prove that the answer to this question is "yes" or give a counterexample.
If G is a (not necessarily simple) graph with n vertices where each vertex has degree greater than or equal to (n−1)/2, is the diameter of G necessarily 2 or less? Either prove that the answer to this question is "yes" or give a counterexample.
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
Problem 10EQ
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Question
If G is a (not necessarily simple) graph with n vertices
where each vertex has degree greater than or equal to (n−1)/2, is the
diameter of G necessarily 2 or less? Either prove that the answer to
this question is "yes" or give a counterexample.
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