EXAMPLE 6 A, = ((12)(34), (123)). (12)(34) (123) (124) (14)(23) {(134) !(123) (143) (132) (13)(24) (12)(34) (234) (243) (142) Cay({(12)(34), (123)}:A,)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 16E
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Prove that the Cayley digraph given in Example 6 does not have a
Hamiltonian circuit. Does it have a Hamiltonian path?

 

EXAMPLE 6 A, = ((12)(34), (123)).
(12)(34)
(123)
(124)
(14)(23)
{(134)
!(123)
(143)
(132)
(13)(24)
(12)(34)
(234)
(243)
(142)
Cay({(12)(34), (123)}:A,)
Transcribed Image Text:EXAMPLE 6 A, = ((12)(34), (123)). (12)(34) (123) (124) (14)(23) {(134) !(123) (143) (132) (13)(24) (12)(34) (234) (243) (142) Cay({(12)(34), (123)}:A,)
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