Five-connected toroidal graphs are Hamiltonian

被引：27
|
作者：
Thomas, R
Yu, XX
机构：
[1] School of Mathematics, Georgia Institute of Technology, Atlanta
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES B | 1997年 / 69卷 / 01期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1006/jctb.1996.1713
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that every edge in a 5-connected graph embedded in the torus is contained in a Hamilton cycle. Our proof is constructive and implies a polynomial time algorithm for finding a Hamilton cycle. (C) 1997 Academic Press.
引用
收藏
页码：79 / 96
页数：18
相关论文
共 50 条
  • [1] Cyclically five-connected cubic graphs
    Robertson, Neil
    Seymour, P. D.
    Thomas, Robin
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 2017, 125 : 132 - 167
  • [2] Grid Drawings of Five-Connected Plane Graphs
    Miura, Kazuyuki
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2022, E105 (08)
  • [3] Grid Drawings of Five-Connected Plane Graphs
    Miura, Kazuyuki
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2022, E105A (09) : 1228 - 1234
  • [4] Rectangle-of-Influence Drawings of Five-Connected Plane Graphs
    Miura, Kazuyuki
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2024, E107A (09) : 1452 - 1457
  • [5] 5-CONNECTED TOROIDAL GRAPHS ARE HAMILTONIAN-CONNECTED
    Kawarabayashi, Ken-ichi
    Ozeki, Kenta
    [J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 2016, 30 (01) : 112 - 140
  • [6] A linear-time algorithm for five-partitioning five-connected internally triangulated plane graphs
    Nagai, S
    Nakano, S
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2001, E84A (09) : 2330 - 2337
  • [7] Synthesis of Planar Five-Connected Nodal Ligands
    Oms, Olivier
    Jarrosson, Thibaut
    Tong, Lok H.
    Vaccaro, Andrea
    Bernardinelli, Gerald
    Williams, Alan F.
    [J]. CHEMISTRY-A EUROPEAN JOURNAL, 2009, 15 (20) : 5012 - 5022
  • [8] Notes on Hamiltonian Graphs and Hamiltonian-Connected Graphs
    Gao, Yunshu
    Li, Guojun
    Yan, Jin
    [J]. ARS COMBINATORIA, 2013, 109 : 405 - 414
  • [9] A GENERALIZATION OF HAMILTONIAN CONNECTED GRAPHS
    LICK, DR
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 193 - &
  • [10] Critical Hamiltonian Connected Graphs
    Modalleliyan, Maliheh
    Omoomi, Behnaz
    [J]. ARS COMBINATORIA, 2016, 126 : 13 - 27
12345