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arXiv · 1201.2167

Spectrum of Cayley graphs on the symmetric group generated by transpositions

Roi Krakovski·Bojan Mohar
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Abstract

For an integer $n\geq 2$, let $X_n$ be the Cayley graph on the symmetric group $S_n$ generated by the set of transpositions ${(1 2),(1 3),...,(1 n)}$. It is shown that the spectrum of $X_n$ contains all integers from $-(n-1)$ to $n-1$ (except 0 if $n=2$ or $n=3$).

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Roi Krakovski, Bojan Mohar. 2012-04-29. Spectrum of Cayley graphs on the symmetric group generated by transpositions. https://arxiv.org/abs/1201.2167

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