Hypergraphs and hypergroups

被引:56
作者
Corsini, P [1 ]
机构
[1] UNIV UDINE,DIPARTIMENTO MATEMAT & INFORMAT,I-33100 UDINE,ITALY
关键词
D O I
10.1007/BF01243594
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We associate to every hypergraph Gamma a commutative quasi-hypergroup H-Gamma and find a necessary and sufficient condition on Gamma so that H-Gamma is associative. For certain Gamma, any finite Gamma included, we determine a sequence Gamma = Gamma(0), Gamma(1),...,Gamma(n) of hypergraphs such that if H-0, H-1,...,H-m is the sequence of the associated quasi-hypergroups, H-n is a join space.
引用
收藏
页码:548 / 555
页数:8
相关论文
共 8 条
  • [1] [Anonymous], 1988, J GEOM, DOI DOI 10.1007/BF01230609
  • [2] Berge C, 1979, Graphs and Hypergraphs
  • [3] Corsini P., 1991, J COMB INF SYST SCI, V16, P313
  • [4] CORSINI P, 1986, PROLEGOMENI ALLA TEO
  • [5] FRENI D, 1981, ATT SOC PELOR SC MAT, V27, P77
  • [6] Gionfriddo M., 1978, HYPERGROUPS ASS MULT, P161
  • [7] PRENOWITZ W, 1972, J REINE ANGEWANDTE M, V257, P101
  • [8] SCORZONI R, 1991, P 4 INT C ALG HYP AP, P175