Construction of Some Uncountable 2-Arc-Transitive Bipartite Graphs

被引:0
|
作者
Manfred Droste
Robert Gray
John K. Truss
机构
[1] Universität Leipzig,
[2] University of St Andrews,undefined
[3] University of Leeds,undefined
来源
Order | 2008年 / 25卷
关键词
Partial order; Cycle-free; Arc-transitivity; 05C75; 06A06;
D O I
暂无
中图分类号
学科分类号
摘要
We give various constructions of uncountable arc-transitive bipartite graphs employing techniques from partial orders, starting with the cycle-free case, but generalizing to cases where this may be violated.
引用
收藏
页码:349 / 357
页数:8
相关论文
共 50 条
  • [1] Construction of Some Uncountable 2-Arc-Transitive Bipartite Graphs
    Droste, Manfred
    Gray, Robert
    Truss, John K.
    [J]. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2008, 25 (04): : 349 - 357
  • [2] Countable locally 2-arc-transitive bipartite graphs
    Gray, R. D.
    Truss, J. K.
    [J]. EUROPEAN JOURNAL OF COMBINATORICS, 2014, 39 : 122 - 147
  • [3] Locally 2-arc-transitive complete bipartite graphs
    Fan, Wenwen
    Leemans, Dimitri
    Li, Cai Heng
    Pan, Jiangmin
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2013, 120 (03) : 683 - 699
  • [4] On basic 2-arc-transitive graphs
    Zai Ping Lu
    Ruo Yu Song
    [J]. Journal of Algebraic Combinatorics, 2023, 58 : 1081 - 1093
  • [5] On basic 2-arc-transitive graphs
    Lu, Zai Ping
    Song, Ruo Yu
    [J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2023, 58 (04) : 1081 - 1093
  • [6] Construction of some countable 1-arc-transitive bipartite graphs
    Gray, Robert
    Truss, John K.
    [J]. DISCRETE MATHEMATICS, 2008, 308 (24) : 6392 - 6405
  • [7] On 2-arc-transitive covers of complete graphs
    Du, SF
    Marusic, D
    Waller, AO
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 1998, 74 (02) : 276 - 290
  • [8] On 2-arc-transitive graphs of order kpn
    Morgan, Luke
    Swartz, Eric
    Verret, Gabriel
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 2016, 117 : 77 - 87
  • [9] On edge-primitive 2-arc-transitive graphs
    Lu, Zai Ping
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2020, 171
  • [10] On 2-arc-transitive Cayley graphs of Abelian groups
    Potocnik, P
    [J]. DISCRETE MATHEMATICS, 2002, 244 (1-3) : 417 - 421