Strictly Deza line graphs

被引:0
|
作者
Kabanov, V. V. [1 ,2 ]
Mityanina, A. V. [3 ]
机构
[1] Ural Fed Univ, Russian Acad Sci, Ural Branch, Inst Math & Mech, Ekaterinburg, Russia
[2] Ural Fed Univ, Russian Acad Sci, Ural Branch, Inst Math & Mech,Physicomath Sci, Ekaterinburg, Russia
[3] Chelyabinsk State Univ, Chelyabinsk, Russia
来源
关键词
line graphs; strictly Deza graphs;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For a given graph G, its line graph L(G) is a graph such that its vertices represent the edges of G and two vertices are adjacent if and only if the corresponding edges of G have exactly one common vertex. A k-regular graph of diameter 2 with v vertices is called a strictly Deza graph with parameters (v, k, b, a) if it is not strongly regular and any two vertices have either a or b common neighbors. We present a classification of strictly Deza graphs that are line graphs.
引用
收藏
页码:165 / 177
页数:13
相关论文
共 50 条
  • [1] Strictly Deza line graphs
    Kabanov, V. V.
    Mityanina, A. V.
    [J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2014, 285 : S78 - S90
  • [2] Strictly Deza line graphs
    V. V. Kabanov
    A. V. Mityanina
    [J]. Proceedings of the Steklov Institute of Mathematics, 2014, 285 : 78 - 90
  • [3] ENUMERATION OF STRICTLY DEZA GRAPHS WITH AT MOST 21 VERTICES
    Goryainov, S., V
    Panasenko, D., I
    Shalaginov, L., V
    [J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2021, 18 (02): : 1423 - 1432
  • [4] On K1,3-Free Strictly Deza Graphs
    Mityanina, A. V.
    [J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2017, 297 : S159 - S162
  • [5] On K1,3-free strictly Deza graphs
    A. V. Mityanina
    [J]. Proceedings of the Steklov Institute of Mathematics, 2017, 297 : 159 - 162
  • [6] On strictly Deza graphs with parameters (n, k, k-1, a)
    Kabanov, V. V.
    Maslova, N. V.
    Shalaginov, L. V.
    [J]. EUROPEAN JOURNAL OF COMBINATORICS, 2019, 80 : 194 - 202
  • [7] On K-1,K-3-free strictly Deza graphs
    Mityanina, A., V
    [J]. TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2016, 22 (01): : 231 - 234
  • [8] Spectra of Deza graphs
    Akbari, S.
    Ghodrati, A. H.
    Hosseinzadeh, M. A.
    Kabanov, V. V.
    Konstantinova, E., V
    Shalaginov, L., V
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (02): : 310 - 321
  • [9] On Deza graphs with parameters of lattice graphs
    Kabanov, V. V.
    Shalaginov, L. V.
    [J]. TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2010, 16 (03): : 117 - 120
  • [10] On Deza graphs with parameters of triangular graphs
    Shalaginov, L. V.
    [J]. TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2011, 17 (01): : 294 - 298