On a family of quasi-strongly regular Cayley graphs

被引：0
作者：
Biswas, Sucharita [1 ]
Das, Angsuman [1 ]
机构：
[1] Presidency Univ, Dept Math, Kolkata, India
来源：
COMMUNICATIONS IN ALGEBRA | 2025年 / 53卷 / 03期
关键词：
Cayley graphs; graph automorphism; strongly regular graph;
D O I：
10.1080/00927872.2024.2402839
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we construct a family of quasi-strongly regular Cayley graphs which is defined on a finite group G with respect to a proper subgroup H of G and denoted by Gamma H(G) . We also compute the full automorphism group and characterize various transitivity properties of Gamma H(G) for any group G and for any subgroup H of G.
引用
收藏
页码：1138 / 1147
页数：10
相关论文
共 15 条
  • [1] Biswas S., 2022, Discuss. Math. Gen. Algebra Appl., V42, P449
  • [2] A generalization of Pappus graph
    Biswas, Sucharita
    Das, Angsuman
    [J]. ELECTRONIC JOURNAL OF GRAPH THEORY AND APPLICATIONS, 2022, 10 (01) : 345 - 356
  • [3] A family of tetravalent half-arc-transitive graphs
    Biswas, Sucharita
    Das, Angsuman
    [J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2021, 131 (02):
  • [4] DEZA A, 1994, NATO ADV SCI INST SE, V440, P359
  • [5] Erickson M, 1999, J COMB DES, V7, P395, DOI 10.1002/(SICI)1520-6610(1999)7:6<395::AID-JCD1>3.0.CO
  • [6] 2-U
  • [7] On quasi-strongly regular graphs
    Goldberg, Felix
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2006, 54 (06) : 437 - 451
  • [8] Golightly W. L., 1997, C NUMER, V124, P89
  • [9] Sub constituents of the orthogonal graph of type (m, m-1, 0) of odd characteristic
    Huo, Lijun
    Zhang, Gengsheng
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 524 : 1 - 21
  • [10] A note on automorphism groups of symmetric cubic graphs
    Ma, Jicheng
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022, 21 (01)
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