Prove Corollaries 11.4 and 11.5. Corollaries 11.4 Let G = (V, E) be a loop-free graph with
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Corollaries 11.4
Let G = (V, E) be a loop-free graph with n (≥ 2) vertices. If deg(u) ≥ (n - l)/2 for all v ∈ V, then G has a Hamilton path.
Corollaries 11.5
If G = (V, E) is a loop-free undirected graph with |V| = n ≥ 3, and if deg(v) ≥ n/2 for all v ∈ V, then G has a Hamilton cycle.
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Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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