The identifying code number and Mycielski's construction of graphs

Let $G=(V, E)$ be a simple graph. A set $C$ of vertices $G$ is an identifying code of $G$ if for every two vertices $x$ and $y$ the sets $N_{G} [x] \cap C$ and $N_{G} [y] \cap C$ are non-empty and different. Given a graph $G,$ the smallest size of an identifying code of $G$ is called the identifying...

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Bibliographic Details
Published in:Transactions on Combinatorics
Main Authors: Athena Shaminejad, Ebrahim Vatandoost, Kamran Mirasheh
Format: Article
Language:English
Published: University of Isfahan 2022-12-01
Subjects:
Online Access:https://toc.ui.ac.ir/article_26088_858b032cc710d026f084d95cbe679621.pdf