Two Families of Directed Strongly Regular Graphs and the Full Automorphism Groups

被引：0
|
作者：
Feng, Yanan [1 ,2 ]
Zeng, Liwei [1 ]
Liu, Shuxia [1 ]
机构：
[1] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China
[2] Shijiazhuang Tiedao Univ, Dept Math & Phys, Shijiazhuang 050045, Hebei, Peoples R China
来源：
ARS COMBINATORIA | 2019年 / 142卷
基金：
中国国家自然科学基金;
关键词：
directed strongly regular graph; automorphism group;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we construct two families of directed strongly regular graphs using matrices and determine their full automorphism groups.
引用
收藏
页码：273 / 282
页数：10
相关论文
共 50 条
  • [41] Rank of adjacency matrices of directed (strongly) regular graphs
    Jorgensen, LK
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 407 : 233 - 241
  • [42] The application of representation theory in directed strongly regular graphs
    He, Yiqin
    Zhang, Bicheng
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2019, 161 : 508 - 536
  • [43] Directed Strongly Regular Cayley Graphs over Metacyclic Groups of Order 4n
    Cheng, Tao
    Feng, Lihua
    Liu, Weijun
    MATHEMATICS, 2019, 7 (11)
  • [44] The automorphism group of a class of strongly regular graphs related to Q(6, q)
    De Winter, Stefaan
    Van Maldeghem, Hendrik
    EUROPEAN JOURNAL OF COMBINATORICS, 2008, 29 (03) : 617 - 621
  • [45] Small vertex-transitive directed strongly regular graphs
    Fiedler, F
    Klin, MH
    Muzychuk, M
    DISCRETE MATHEMATICS, 2002, 255 (1-3) : 87 - 115
  • [46] Codes arising from directed strongly regular graphs with μ = 1
    Huilgol, Medha Itagi
    D'Souza, Grace Divya
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2024, 16 (06)
  • [47] Directed strongly regular graphs obtained from coherent algebras
    Klin, M
    Munemasa, A
    Muzychuk, M
    Zieschang, PH
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 377 : 83 - 109
  • [48] A construction for infinite families of semisymmetric graphs revealing their full automorphism group
    Cara, Philippe
    Rottey, Sara
    Van de Voorde, Geertrui
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2014, 39 (04) : 967 - 988
  • [49] A construction for infinite families of semisymmetric graphs revealing their full automorphism group
    Philippe Cara
    Sara Rottey
    Geertrui Van de Voorde
    Journal of Algebraic Combinatorics, 2014, 39 : 967 - 988
  • [50] STRONGLY REGULAR GRAPHS WITH STRONGLY REGULAR DECOMPOSITION
    HAEMERS, WH
    HIGMAN, DG
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 114 : 379 - 398
12345