Packing and covering triangles in tripartite graphs

被引：17
|
作者：
Haxell, PE
Kohayakawa, Y
机构：
[1] Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada
[2] Univ Sao Paulo, Inst Matemat & Estatist, BR-05508900 Sao Paulo, Brazil
来源：
GRAPHS AND COMBINATORICS | 1998年 / 14卷 / 01期
关键词：
packing; covering; triangles; tripartite graphs; Tuza's conjecture;
D O I：
10.1007/s003730050010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that if G is a tripartite graph such that the maximum size of a set of pairwise edge-disjoint triangles is v(G), then there is a set C of edges of G of size at most (2 - epsilon)v(G), such that E(T) boolean AND C not equal (empty set) for every triangle T of G, where epsilon > 0.044. This improves the previous bound of (7/3)v(G) due to Tuza [6].
引用
收藏
页码：1 / 10
页数：10
相关论文
共 50 条
  • [41] Covering a triangle with triangles
    Conway, JH
    Soifer, A
    [J]. AMERICAN MATHEMATICAL MONTHLY, 2005, 112 (01): : 78 - 78
  • [42] Covering families of triangles
    Otfried Cheong
    Olivier Devillers
    Marc Glisse
    Ji-won Park
    [J]. Periodica Mathematica Hungarica, 2023, 87 : 86 - 109
  • [43] COVERING AND PACKING IN GRAPHS - V. MISPACKING SUBCUBES IN HYPERCUBES.
    Graham, Niall
    Harary, Frank
    [J]. Computers & mathematics with applications, 1986, 15 (04): : 267 - 270
  • [44] Packing and covering odd cycles in cubic plane graphs with small faces
    Nicodemos, Diego
    Stehlik, Matej
    [J]. EUROPEAN JOURNAL OF COMBINATORICS, 2018, 67 : 208 - 221
  • [45] PACKING AND COVERING
    MACBEATH, AM
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1965, 40 (159P): : 570 - &
  • [46] PACKING AND COVERING
    COXETER, HSM
    [J]. SIAM REVIEW, 1965, 7 (02) : 303 - &
  • [47] On the Multiple Covering Densities of Triangles
    Sriamorn, Kirati
    Wetayawanich, Akanat
    [J]. DISCRETE & COMPUTATIONAL GEOMETRY, 2015, 54 (03) : 717 - 727
  • [48] PACKING AND COVERING
    KINGMAN, JFC
    [J]. NATURE, 1965, 205 (4973) : 738 - &
  • [49] PACKING AND COVERING
    KELLER, OH
    SCHUBERT, H
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1965, 45 (06): : 450 - &
  • [50] COVERING TRIANGLES OF CONVEX POLYGON
    BARRON, R
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1964, 71 (03): : 321 - &
12345