TENSOR PRODUCT OF THE POWER GRAPHS OF SOME FINITE RINGS

被引:1
作者
Soleimani, Masoumeh [1 ]
Naderi, Mohammad Hassan [1 ]
Ashrafi, Ali Rreza [2 ]
机构
[1] Univ Qom, Dept Math, Fac Sci, Qom, Iran
[2] Univ Kashan, Dept Pure Math, Fac Math Siences, Kashan 8731753153, Iran
来源
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2019年 / 34卷 / 01期
关键词
Power graph; bipartite graph; finite rings; tensor product;
D O I
10.22190/FUMI1901101S
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Suppose R is a ring. The multiplicative power graph P(R) of R is the graph whose vertices are elements of R, where two distinct vertices x and y are adjacent if and only if there exists a positive integer n such that x(n) = y or y(n) = x. In this paper, the tensor product of the power graphs of some finite rings are studied.
引用
收藏
页码:101 / 122
页数:22
相关论文
共 14 条
  • [1] Power Graphs: A Survey
    Abawajy, Jemal
    Kelarev, Andrei
    Chowdhury, Morshed
    [J]. ELECTRONIC JOURNAL OF GRAPH THEORY AND APPLICATIONS, 2013, 1 (02) : 125 - 147
  • [2] Bollabas B., 1979, Graph Theory, An Introductory Course
  • [3] The power graph of a finite group, II
    Cameron, Peter J.
    [J]. JOURNAL OF GROUP THEORY, 2010, 13 (06) : 779 - 783
  • [4] Undirected power graphs of semigroups
    Chakrabarty, Ivy
    Ghosh, Shamik
    Sen, M. K.
    [J]. SEMIGROUP FORUM, 2009, 78 (03) : 410 - 426
  • [5] FINE B., 1993, MATH MAG, V66, P249
  • [6] FLAGG M., 2014, PREPRINT
  • [7] HAMMACK R. H., 2011, Handbook of product graphs, V2
  • [8] Kelarev A.V., 2003, Graph Algebras and Automata
  • [9] Kelarev A. V., 2000, CONTRIB GEN ALGEBRA, V12, P229
  • [10] Kelarev A. V., 2004, COMMENT MATH U CAROL, V45, P1