A Bound for the Diameter of Distance-Regular Graphs

被引:0
|
作者
L. Pyber
机构
[1] Mathematical Institute of the Hungarian Academy of Sciences; Budapest,
[2] P.O.B. 127,undefined
[3] H–1364 Hungary; E-mail: pyber@math-inst.hu,undefined
来源
Combinatorica | 1999年 / 19卷
关键词
AMS Subject Classification (1991) Classes:  05E30, 05C12;
D O I
暂无
中图分类号
学科分类号
摘要
vertices has diameter at most 5 logn. This essentially settles a problem of Brouwer, Cohen and Neumaier.
引用
收藏
页码:549 / 553
页数:4
相关论文
共 50 条
  • [41] EIGENVECTORS OF DISTANCE-REGULAR GRAPHS
    POWERS, DL
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1988, 9 (03) : 399 - 407
  • [42] Edge-distance-regular graphs are distance-regular
    Camara, M.
    Dalfo, C.
    Delorme, C.
    Fiol, M. A.
    Suzuki, H.
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2013, 120 (05) : 1057 - 1067
  • [43] Distance-regular graphs of diameter 3 having eigenvalue-1
    Bang, Sejeong
    Koolen, Jack
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 531 : 38 - 53
  • [44] Tight distance-regular graphs
    Jurisic, A
    Koolen, J
    Terwilliger, P
    [J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2000, 12 (02) : 163 - 197
  • [45] CUBIC DISTANCE-REGULAR GRAPHS
    BIGGS, NL
    BOSHIER, AG
    SHAWETAYLOR, J
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1986, 33 : 385 - 394
  • [46] Twice Q-polynomial distance-regular graphs of diameter 4
    MA JianMin
    KOOLEN Jack H.
    [J]. Science China Mathematics, 2015, 58 (12) : 2683 - 2690
  • [47] Twice Q-polynomial distance-regular graphs of diameter 4
    JianMin Ma
    Jack H. Koolen
    [J]. Science China Mathematics, 2015, 58 : 2683 - 2690
  • [48] Extremal 1-codes in distance-regular graphs of diameter 3
    Jurisic, Aleksandar
    Vidali, Janos
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2012, 65 (1-2) : 29 - 47
  • [49] On bipartite distance-regular graphs with a strongly closed subgraph of diameter three
    Kong, Qian
    Wang, Kaishun
    [J]. DISCRETE MATHEMATICS, 2010, 310 (24) : 3523 - 3527
  • [50] A construction of distance-regular graphs from subspaces in d-bounded distance-regular graphs
    Gao, Suogang
    Guo, Jun
    [J]. ARS COMBINATORIA, 2011, 98 : 135 - 148