Automorphism group of 2-token graph of the Hamming graph

被引:0
|
作者
Zhang, Ju [1 ]
Zhou, Jin-Xin [1 ]
Lee, Jaeun [2 ]
Li, Yan-Tao [3 ]
Xie, Jin-Hua [1 ]
机构
[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
[2] Yeungnam Univ, Dept Math, 280 Daehak Ro, Gyongsan 38541, Gyeongbuk, South Korea
[3] Beijing Union Univ, Coll Appl Arts & Sci, Dept Urban Sci, Beijing 100191, Peoples R China
基金
中国国家自然科学基金; 新加坡国家研究基金会;
关键词
Hamming graph; 2-token graphs; Automorphism group;
D O I
10.1016/j.disc.2023.113689
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G be a graph. The 2 -token graph F2(G) of G is with vertex set all the 2-subsets of V (G) such that two 2-subsets are adjacent if their symmetric difference is exactly an edge of G. In this paper, the full automorphism group of the 2-token graph of the Hamming graph is determined. (c) 2023 Elsevier B.V. All rights reserved.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] On the 2-token graph of a graph
    Deepalakshmi, J.
    Marimuthu, G.
    Somasundaram, A.
    Arumugam, S.
    AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2020, 17 (01) : 265 - 268
  • [2] A NOTE ON THE AUTOMORPHISM GROUP OF THE HAMMING GRAPH
    Mirafzal, Seyed Morteza
    Ziaee, Meysam
    TRANSACTIONS ON COMBINATORICS, 2021, 10 (02) : 129 - 136
  • [3] On the automorphism group of the Aschbacher graph
    Makhnev, A. A.
    Paduchikh, D. V.
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2009, 15 (02): : 162 - 176
  • [4] Automorphism group of the derangement graph
    Deng, Yun-Ping
    Zhang, Xiao-Dong
    ELECTRONIC JOURNAL OF COMBINATORICS, 2011, 18 (01):
  • [5] The automorphism group of the Andrasfai graph
    Mirafzal, Seyed Morteza
    DISCRETE MATHEMATICS LETTERS, 2022, 10 : 60 - 63
  • [6] On the automorphism group of the Aschbacher graph
    A. A. Makhnev
    D. V. Paduchikh
    Proceedings of the Steklov Institute of Mathematics, 2009, 267 (Suppl 1) : 149 - 163
  • [7] Automorphism group and diameter of a graph
    Dankelmann, P.
    Erwin, D.
    Mukwembi, S.
    Rodrigues, B. G.
    Mwambene, E.
    Sabidussi, G.
    JOURNAL OF GRAPH THEORY, 2012, 70 (01) : 80 - 91
  • [8] On the automorphism group of a Johnson graph
    Ganesan, Ashwin
    ARS COMBINATORIA, 2018, 136 : 391 - 396
  • [9] THE AUTOMORPHISM GROUP OF A JOHNSON GRAPH
    ramras, Mark
    Donovan, Elizabeth
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2011, 25 (01) : 267 - 270
  • [10] On the automorphism group of the Aschbacher graph
    A. A. Makhnev
    D. V. Paduchikh
    Doklady Mathematics, 2009, 79 : 365 - 368