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Question

$\begin{array} { c } { \text { Find a Hamiltonian circuit in } } \\ { \quad \operatorname { Cay } \left( \{ ( a , 0 ) , ( b , 0 ) , ( e , 1 ) \} : Q _ { 4 } \oplus Z _ { 3 } \right) } \end{array}$

Solution

VerifiedStep 1

1 of 3A Hamiltonian path for $Cyl(\{(a,0),(b,0),(e,1)\}:D_4\otimes\mathbb Z_3)$ is

$(2*((e,1),(e,1),(a,0)),(a,0),(b,0),3*(a,0),(e,1),2*(b,0),(a,0),2*(b,0),(e,1),3*(a,0),(b,0),2*(a,0))$

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