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Connectedness of two-sided group digraphs graphs. (arXiv:1705.05827v1 [math.CO])
来源于:arXiv
Two-sided group digraphs, introduced by Iradmusa and Praeger, provide a
generalization of Cayley digraphs in which arcs are determined by left and
right multiplying by elements of two subsets of the group. We characterize when
two-sided group digraphs are connected and count connected components, using
both an explicit elementary perspective and group actions. Our results and
examples address four open problems posed by Iradmusa and Praeger that concern
connectedness and valency. 查看全文>>