More Results on The Smallest One-Realization of A Given Set II

KefengDiao; FuliangLu; PingZhao

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More Results on The Smallest One-Realization of A Given Set II

机译：结果的最小的其中之一给定二世

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Let S be a finite set of positive integers. A mixed hypergraph ? is a onerealization of S if its feasible set is S and each entry of its chromatic spectrum is either 0 or 1. The minimum number of vertices, denoted by δ3(S), in a 3-uniform bi-hypergraph which is a one-realization of S was determined in [P. Zhao, K. Diao and F. Lu, More result on the smallest one-realization of a given set, Graphs Combin. 32 (2016) 835–850]. In this paper, we consider the minimum number of edges in a 3-uniform bi-hypergraph which already has the minimum number of vertices with respect of being a minimum bihypergraph that is one-realization of S. A tight lower bound on the number of edges in a 3-uniform bi-hypergraph which is a one-realization of S with δ3(S) vertices is given.

机译：让年代是一个有限集的正整数。混合超图吗?其可行集和每个条目彩色光谱是0或1。数量的顶点,用δ3 (S)3-uniform bi-hypergraph就是一个其中之一的年代测定(P。k .迪奥和f·卢,更在最小的结果其中之一的一个给定的集合,图Combin。32(2016) 835 - 850]。3-uniform最小数量的边缘bi-hypergraph已经最低数量的顶点与尊重的最低bihypergraph就是其中之一美国严格下界边的数量一个3-uniform bi-hypergraph就是一个其中之一的年代δ3 (S)顶点考虑到。

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《Hormone molecular biology and clinical investigation.》 |2019年第2期|473-487|共15页
作者
KefengDiao; FuliangLu; PingZhao;
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作者单位

School of Mathematics and Statistics, Linyi University, Linyi, Shandong, 276005, China;

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正文语种英语
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关键词
vertex head;

机译：顶点头;

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More Results on The Smallest One-Realization of A Given Set II

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