Edge Balanced 3-Uniform Hypergraph Designs

被引:4
作者
Bonacini, Paola [1 ]
Gionfriddo, Mario [1 ]
Marino, Lucia [1 ]
机构
[1] Univ Catania, Dept Math & Comp Sci, Viale Andrea Doria 6, I-95125 Catania, Italy
关键词
hypergraph design; edge-balance; SYSTEMS;
D O I
10.3390/math8081353
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we completely determine the spectrum of edge balanced H-designs, where H is a 3-uniform hypergraph with 2 or 3 edges, such that H has strong chromatic number chi(s) (H) = 3.
引用
收藏
页数:10
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共 17 条
  • [1] Balanced and strongly balanced Pk-designs
    Berardi, Luigia
    Gionfriddo, Mario
    Rota, Rosaria
    [J]. DISCRETE MATHEMATICS, 2012, 312 (03) : 633 - 636
  • [2] Bonacini P., 2016, Appl. Math. Sci, V10, P1489, DOI [10.12988/ams.2016.512742, DOI 10.12988/AMS.2016.512742]
  • [3] Bonacini P, 2017, CONTRIB DISCRET MATH, V12, P74
  • [4] Bonacini P, 2016, AUSTRALAS J COMB, V66, P393
  • [5] Bonacini P, 2015, ARS COMBINATORIA, V121, P429
  • [6] Tree-designs with balanced-type conditions
    Bonisoli, A.
    Ruini, B.
    [J]. DISCRETE MATHEMATICS, 2013, 313 (11) : 1197 - 1205
  • [7] Degree- and Orbit-Balanced Γ-Designs When Γ Has Five Vertices
    Bonvicini, Simona
    [J]. JOURNAL OF COMBINATORIAL DESIGNS, 2013, 21 (09) : 359 - 389
  • [8] 2-Colorings of uniform hypergraphs
    Demidovich, Yu. A.
    Raigorodskii, A. M.
    [J]. MATHEMATICAL NOTES, 2016, 100 (3-4) : 629 - 632
  • [9] Gionfriddo M, 2016, UTILITAS MATHEMATICA, V99, P81
  • [10] Gionfriddo M., 2015, Appl. Math. Sci, V9, P3629, DOI [10.12988/ams.2015.52137, DOI 10.12988/AMS.2015.52137]