Relations between the distinguishing number and some other graph parameters

A distinguishing coloring of a simple graph $G$ is a vertex coloring of $G$ which is preserved only by the identity automorphism of $G$. In other words, this coloring ``breaks'' all symmetries of $G$. The distinguishing number $D(G)$ of a graph $G$ is defined to be the smallest number of c...

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Bibliographic Details
Main Authors: Bahman Ahmadi, Seyed Alireza Talebpour Shirazi Fard
Format: Article
Language:fas
Published: University of Isfahan 2024-11-01
Series:ریاضی و جامعه
Subjects:
Online Access:https://math-sci.ui.ac.ir/article_28265_6528a64072a5cef6776fc5d046eb8965.pdf
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