简介：H.WangconsideredtheminimumdegreesconditionthatGhaslargevertexdisjointcyclesinbipartitegraphs.Motivatedbythis,weconsiderthesmallvertex-disjointcyclesinbipartitegraphsinthispaper.Weprovethefollowingresult:Letm≥3,n≥2andk≥1bethreeintegers.LetG=(V1,V2;E)beabipartitegraphwith|V1|=|V2|=n≥2k+1.Iftheminimumdegreeδ(G)≥k+1andx∈V(C)^∑d(x)≥m(n+1)+1foranycycleCofGwithlength2m,thenGcontainskvertex-disjointcyclesoflength4.Moreover,thedegreesconditionissharp.
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