Finite groups admitting a connected cubic integral bi-Cayley graph

نویسندگان

  • B. Taeri Department of mathematical sciences Isfahan University of Technology Isfahan, Iran.
چکیده مقاله:

A graph   is called integral if all eigenvalues of its adjacency matrix  are integers.  Given a subset $S$ of a finite group $G$, the bi-Cayley graph $BCay(G,S)$ is a graph with vertex set $Gtimes{1,2}$ and edge set ${{(x,1),(sx,2)}mid sin S, xin G}$.  In this paper, we classify all finite groups admitting a connected cubic integral bi-Cayley graph.

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عنوان ژورنال

دوره 5  شماره 2

صفحات  35- 43

تاریخ انتشار 2018-10-01

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