Distinguishing number and distinguishing index of certain graphs

Author:

Alikhani Saeid1,Soltani Samaneh1

Affiliation:

1. Department of Mathematics, Yazd University, Yazd, Iran

Abstract

The distinguishing number (index) D(G) (D0(G)) of a graph G is the least integer d such that G has an vertex labeling (edge labeling) with d labels that is preserved only by a trivial automorphism. In this paper we compute these two parameters for some specific graphs. Also we study the distinguishing number and the distinguishing index of corona product of two graphs.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Distinguishing Threshold for Some Graph Operations;Iranian Journal of Science;2022-12-29

2. Distinguishing number of hierarchical products of graphs;Bulletin des Sciences Mathématiques;2021-05

3. Distinguishing index of Kronecker product of two graphs;ELECTRON J GRAPH THE;2021

4. Introduction to dominated edge chromatic number of a graph;Opuscula Mathematica;2021

5. Distinguishing critical graphs;Journal of Information and Optimization Sciences;2020-07-03

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