Let D4 = <r, f | r 4 = e = f 2, rf = fr-1>. Verify that6 * [3 * (r, 0), ( f, 0), 3 * (r, 0), (e, 1)]is a Hamiltonian circuit inCay({(r, 0), (f, 0), (e, 1)}:D4 ⨁ Z6).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let D4 = <r, f | r 4 = e = f 2, rf = fr-1>. Verify that
6 * [3 * (r, 0), ( f, 0), 3 * (r, 0), (e, 1)]
is a Hamiltonian circuit in
Cay({(r, 0), (f, 0), (e, 1)}:D4 ⨁ Z6).

Expert Solution
Step 1

Given: D4=r, f r4=e=f2, rf=fr-1
We need to verify that 6*3*r, 0, f, 0, 3*r, 0, e, 1 is a Hamiltonian circuit in Cayr, 0, f, 0, e, 1: D4Z6.

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