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Score Lists in Tripartite Hypertournaments

机译:三方超级锦标赛中的得分列表

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摘要

Given non-negative integers l, m, n, α, β and γ with l ≥ α ≥ 1, m ≥ β ≥ 1 and n ≥ γ ≥ 1, an [α,β,γ]-tripartite hypertournament on l + m + n vertices is a four tuple (U, V, W, E), where U, V and W are three sets of vertices with |U| = l , |V| = m and |W| = n, and E is a set of (α + β + γ)-tuples of vertices, called arcs, with exactly α vertices from U, exactly β vertices from V,and exactly γ vertices from W, such that any subset U 1∪ V 1∪ W 1 of U∪ V∪ W, E contains exactly one of the (α + β + γ)! (α + β + γ) ? tuples whose entries belong to U 1∪ V 1∪ W 1. We obtain necessary and sufficient conditions for three lists of non-negative integers in non-decreasing order to be the losing score lists or score lists of some [α, β, γ]-tripartite hypertournament.
机译:给定l≥α≥1,m≥β≥1和n≥γ≥1的非负整数l,m,n,α,β和γ,则l + m上的[α,β,γ]三分超比赛+ n个顶点是四个元组(U,V,W,E),其中U,V和W是具有| U |的三组顶点= l,| V | = m和| W | = n,并且E是一组(α+β+γ)个顶点的圆弧,称为圆弧,具有恰好来自U的α个顶点,恰好来自V的β个顶点,以及恰好来自W的γ个顶点,因此任何子集U 1 U∪V∪W的∪V 1 ∪W 1 ∪V 1 ∪W 1 的元组。我们以非降序的三个非负整数列表成为某些[α,β,γ]-三分超竞赛的失落得分列表或得分列表,获得了充要条件。

著录项

  • 来源
    《Graphs and Combinatorics》 |2007年第4期|445-454|共10页
  • 作者单位

    Department of Mathematics University of Kashmir India;

    Department of Mathematics University of Kashmir India;

    Department of Mathematics Nanjing University China;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Score lists; Hypertournaments;

    机译:分数表;超级锦标赛;
  • 入库时间 2022-08-18 01:49:06

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