Answered: Prove that the digraph obtained from…

Prove that the digraph obtained from Cay({(1, 0), (0, 1)}:Z4 ⊕ Z7)by deleting the vertex (0, 0) has a Hamiltonian circuit.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Prove that the digraph obtained from Cay({(1, 0), (0, 1)}:Z₄ ⊕ Z₇)
by deleting the vertex (0, 0) has a Hamiltonian circuit.

Expert Solution

Step 1

here we have given that the digraph obtained from $C a y (\{(1, 0), (0, 1)\} : Z_{4} \oplus Z_{7})$ .

It is required to prove that digraph obtained by deleting the vertex (0, 0) has a Hamiltonian circuit.

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