TRIPLETS AND HEXAGONS

被引:2
|
作者
HOARE, M
机构
[1] Harrow, Middlesex, HA2 9RL
关键词
D O I
10.1007/BF02988311
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Two combinatorial methods for constructing a family of symmetric trivalent graphs are presented in this paper. Each family of graphs contains a member for every odd prime number p. It is proved that in one of the families the girth is unbounded as a function of p; the other family contains the smallest known trivalent graphs of girth 18 and 19.
引用
收藏
页码:225 / 233
页数:9
相关论文
共 50 条
  • [1] Hexagons
    Quick, Barbara
    JOURNAL OF HUMANISTIC MATHEMATICS, 2020, 10 (02): : 562 - 563
  • [2] Tiling Generating Functions of Halved Hexagons and Quartered Hexagons
    Lai, Tri
    Rohatgi, Ranjan
    ANNALS OF COMBINATORICS, 2021, 25 (02) : 471 - 493
  • [3] Winking hexagons
    Logvin, YA
    Ackemann, T
    Lance, W
    EUROPHYSICS LETTERS, 1997, 38 (08): : 583 - 588
  • [4] Spinning hexagons
    Bercini, Carlos
    Goncalves, Vasco
    Homrich, Alexandre
    Vieira, Pedro
    JOURNAL OF HIGH ENERGY PHYSICS, 2022, 2022 (09)
  • [5] URINARY HEXAGONS
    BERMAN, LB
    JAMA-JOURNAL OF THE AMERICAN MEDICAL ASSOCIATION, 1974, 229 (07): : 827 - 827
  • [6] On empty hexagons
    Valtr, Pavel
    SURVEYS ON DISCRETE AND COMPUTATIONAL GEOMETRY: TWENTY YEARS LATER, 2008, 453 : 433 - 441
  • [7] Tiling Generating Functions of Halved Hexagons and Quartered Hexagons
    Tri Lai
    Ranjan Rohatgi
    Annals of Combinatorics, 2021, 25 : 471 - 493
  • [8] Spinning hexagons
    Carlos Bercini
    Vasco Gonçalves
    Alexandre Homrich
    Pedro Vieira
    Journal of High Energy Physics, 2022
  • [9] Huge hexagons
    Stuart Cantrill
    Nature Chemistry, 2015, 7 (2) : 95 - 95
  • [10] COOLED HEXAGONS
    LENHART, SW
    SCIENCE DIGEST, 1985, 93 (02) : 13 - 13