On finite groups all of whose bi-Cayley graphs of bounded valency are integral
Publish place: Transactions on Combinatorics، Vol: 10، Issue: 4
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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JR_COMB-10-4_005
تاریخ نمایه سازی: 17 خرداد 1400
Abstract:
Let k\geq ۱ be an integer and \mathcal{I}_k be the set of all finite groups G such that every bi-Cayley graph \BCay(G,S) of G with respect to subset S of length ۱\leq |S|\leq k is integral. Let k\geq ۳. We prove that a finite group G belongs to \mathcal{I}_k if and only if G\cong\Bbb Z_۳, \Bbb Z_۲^r for some integer r, or S_۳.
Authors
Majid Arezoomand
University of Larestan, ۷۴۳۱۷-۱۶۱۳۷, Lar, Iran