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On the maximum number of mixed-hypergraphs
发布时间:2019-11-15 00:00:00 访问次数: 字号:
报告地点:行健楼665
​邀请人:张晓岩教授
摘要:A mixed hypergraph is a triple H=(X,C,D) where X is called the vertex set, also denoted by V(H),Cis the family of subsets of X called C-edges, also denoted by C(H), and Dis the family ofsubsets ofXcalled D-edges,also denoted by D(H). For a hypergraph H=(X,C,D), the partial mixed hypergraph H=(X,C,∅), also denoted by H_{c}=(X,C) is called a C-hypergraph. In this paper, we solve an open problem posed by Voloshin concerning the maximumnumber of hyperedges of an r-uniform C-hypergraph with given$\overline{\chi}(H)$.