On Frankl and Fredi's Conjecture for 3-uniform Hypergraphs

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    摘要 FranklandFürediin[1]conjecturedthatther-graphwithmedgesformedbytakingthefirstmsetsinthecolexorderingofN(r)hasthelargestLagrangianofallr-graphswithmedges.Denotethisr-graphbyCr,mandtheLagrangianofahypergraphbyλ(G).Inthispaper,wefirstshowthatif(3t-1)≤m<(3t),Gisaleft-compressed3-graphwithmedgesandonvertexset[t],thetriplewithminimumcolexorderinginGcis(t—2—i)(t—2)t,thenλ(G)≤λ(C3,m).Asanimplication,theconjectureofFranklandFiirediistruefor(3t)-6≤m≤(3t).
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    出版日期 2016年01月11日(中国Betway体育网页登陆平台首次上网日期,不代表论文的发表时间)
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