Hamilton cycles in a family of graphs which includes the generalized Petersen graphs

被引：0
作者：
Dean, Matthew [1 ]
机构：
[1] Univ Queensland, Dept Math, Ctr Discrete Math & Comp, St Lucia, Qld 4072, Australia
来源：
ARS COMBINATORIA | 2012年 / 103卷
关键词：
Hamilton cycle; Hamiltonian; generalized Petersen graph; spoked Cayley graph; I-graph; Petersen graph; vertex-transitive; Tait coloring; 1-factorization; Y-graph; DECOMPOSITION;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is well known that the Petersen graph does not contain a Hamilton cycle. In 1983 Alspach completely determined which Generalized Petersen graphs are Hamiltonian [1]. In this paper we define a larger class of graphs which includes the Generalized Petersen graphs as a special case, and determine which graphs in this larger class are Hamiltonian, and which are 1-factorable. We call this larger class spoked Cayley graphs.
引用
收藏
页码：205 / 224
页数：20
相关论文
共 50 条
  • [41] All double generalized Petersen graphs are Hamiltonian
    Wang, Xiuyun
    DISCRETE MATHEMATICS, 2017, 340 (12) : 3016 - 3019
  • [42] Cyclic base ordering of generalized Petersen graphs
    Gu, Xiaofeng
    Zhang, William
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2024, 16 (02)
  • [43] On Distance-Balanced Generalized Petersen Graphs
    Ma, Gang
    Wang, Jianfeng
    Klavzar, Sandi
    ANNALS OF COMBINATORICS, 2024, 28 (01) : 329 - 349
  • [44] On the minimum vertex cover of generalized Petersen graphs
    Jin, Dannielle D. D.
    Wang, David G. L.
    DISCRETE APPLIED MATHEMATICS, 2019, 266 : 309 - 318
  • [45] Double Roman Domination in Generalized Petersen Graphs
    Hong Gao
    Jiahuan Huang
    Yuansheng Yang
    Bulletin of the Iranian Mathematical Society, 2022, 48 : 885 - 894
  • [46] Explicit construction of mixed dominating sets in generalized Petersen graphs
    Olyaei, Meysam Rajaati Bavil
    Meybodi, Mohsen Alambardar
    Hooshmandasl, Mohammad Reza
    Shakiba, Ali
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2024, 48 (04)
  • [47] DIRECTED HAMILTON CYCLES IN DIGRAPHS AND MATCHING ALTERNATING HAMILTON CYCLES IN BIPARTITE GRAPHS
    Zhang, Zan-Bo
    Zhang, Xiaoyan
    Wen, Xuelian
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2013, 27 (01) : 274 - 289
  • [48] Hamilton cycles in random lifts of directed graphs
    Chebolu, Prasad
    Frieze, Alan
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2008, 22 (02) : 520 - 540
  • [49] K-Factors and Hamilton Cycles in Graphs
    Zhi Guo WANG
    Zhen Jiang ZHAO
    Acta Mathematica Sinica(English Series), 2007, 23 (02) : 309 - 312
  • [50] Heuristic search for Hamilton cycles in cubic graphs
    Ales, Janez
    Mohar, Bojan
    Pisanski, Tomaz
    DISCRETE MATHEMATICS, 2007, 307 (3-5) : 303 - 309
12345