Title : ( On the determining number of some graphs )
Authors: Mojgan Afkhami , Tayyebeh Amouzegar , Kazem Khashyarmanesh , Meysam Korivand ,
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Abstract
A subset S of vertices of a graph G is a determining set for G if every automorphism of G is uniquely determined by its action on S. The determining number of a graph G is the smallest integer r such that G has a determining set of size r. In this paper, we study the determining number of edge-corona product, hierarchical product of graphs and the determining number of blow-up of some graphs. Also, we investigate the determining number of the zero divisor graph of the ring ℤ????, for some values of n.
Keywords
, Determining set; determining number; edge, Corona product; hierarchical product; blow, up
@article{paperid:1102239,
author = {مژگان افخمی and طیبه آموزگار and Khashyarmanesh, Kazem and Korivand, Meysam},
title = {On the determining number of some graphs},
journal = {AKCE International Journal of Graphs and Combinatorics},
year = {2024},
volume = {21},
number = {3},
month = {September},
issn = {0972-8600},
pages = {324--329},
numpages = {5},
keywords = {Determining set;
determining number;
edge-Corona product;
hierarchical product;
blow-up},
}
%0 Journal Article
%T On the determining number of some graphs
%A مژگان افخمی
%A طیبه آموزگار
%A Khashyarmanesh, Kazem
%A Korivand, Meysam
%J AKCE International Journal of Graphs and Combinatorics
%@ 0972-8600
%D 2024
