Automorphism group of the modified bubble sort graph and its generalizations
نویسنده
چکیده
Let S be a set of transpositions generating the symmetric group Sn, where n ≥ 3. It is shown that if the girth of the transposition graph of S is at least 5, then the automorphism group of the Cayley graph Cay(Sn, S) is the direct product Sn×Aut(T (S)), where T (S) is the transposition graph of S; the direct factors are the right regular representation of Sn and the image of the left regular action of Aut(T (S)) on Sn. This strengthens a previous result of the author, where the automorphism group was factored as a semidirect product. Index terms — Cayley graphs; transposition sets; automorphisms of graphs; direct products; normal Cayley graphs.
منابع مشابه
Automorphism group of the modified bubble-sort graph
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