Edge-transitivity of Cayley graphs generated by transpositions
نویسنده
چکیده
Let S be a set of transpositions generating the symmetric group Sn (n ≥ 5). The transposition graph of S is defined to be the graph with vertex set {1, . . . , n}, and with vertices i and j being adjacent in T (S) whenever (i, j) ∈ S. In the present note, it is proved that two transposition graphs are isomorphic if and only if the corresponding two Cayley graphs are isomorphic. It is also proved that the transposition graph T (S) is edge-transitive if and only if the Cayley graph Cay(Sn, S) is edge-transitive.
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ورودعنوان ژورنال:
- Discussiones Mathematicae Graph Theory
دوره 36 شماره
صفحات -
تاریخ انتشار 2016