Let R be the longest path in a connected graph G, and suppose there exist a cycle such that R⊆Q⊆G. Prove G is Hamiltonian. Use proof by contradiction

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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Let R be the longest path in a connected graph G, and suppose there exist a cycle such that R⊆Q⊆G. Prove G is Hamiltonian. Use proof by contradiction.

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