On Hamiltonian cycles.(a) Define Hamiltonian cycle.(b) Prove that a graph on n vertices, n ≥ 3, such that the degree of every vertex is ≥ n/2,has a Hamiltonian cycle.(c) Is it needed to assume that G is connected in item (b)?

### (a) Definition of a Hamiltonian CycleA Hamiltonian cycle in a graph is a cycle that visits each…

Answered: On Hamiltonian cycles. (a) Define…

Advanced Engineering Mathematics

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ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

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On Hamiltonian cycles. (a) Define Hamiltonian cycle. (b) Prove that a graph on n vertices, n ≥ 3, such that the degree of every vertex is ≥ n/2, has a Hamiltonian cycle. (c) Is it needed to assume that G is connected in item (b)?