Edge-Transitivity of Cayley Graphs Generated by Transpositions

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 ar...

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Bibliographic Details
Main Author: Ganesan Ashwin
Format: Article
Language:English
Published: Sciendo 2016-11-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1903