简介：LetGbeafinitegroup,andSbeasubsetofG.Thebi-CayleygraphBCay(G,S)ofGwithrespecttoSisdefinedasthebipartitegraphwithvertexsetG×{0,1}andedgeset{(g,0),(gs,1)|g∈G,s∈S}.Inthispaper,wefirstprovidetwointerestingresultsforedge-hamiltonianpropertyofCayleygraphsandbi-Cayleygraphs.Next,weinvestigatetheedge-hamiltonianpropertyofΓ=BCay(G,S),andprovethatΓishamiltonianifandonlyifΓisedge-hamiltonianwhenΓisaconnectedbi-Cayleygraph.
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