Locating and Identifying Codes in Circulant Graphs

Identifying and locating-dominating codes have been studied widely in circulant graphs. Recently, Ville Junnila et al. (Optimal bounds on codes for location in circulant graphs, Cryptography and Communications; 2019) studied identifying and locating-dominating codes in circulants Cn1,d, Cn1,d−1,d, a...

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Autores principales: Shu Jiao Song, Weiqian Zhang, Can Xu
Formato: article
Lenguaje:EN
Publicado: Hindawi Limited 2021
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Acceso en línea:https://doaj.org/article/b4522af42e784446a630ddb5620090fc
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Sumario:Identifying and locating-dominating codes have been studied widely in circulant graphs. Recently, Ville Junnila et al. (Optimal bounds on codes for location in circulant graphs, Cryptography and Communications; 2019) studied identifying and locating-dominating codes in circulants Cn1,d, Cn1,d−1,d, and Cn1,d−1,d,d+1. In this paper, identifying, locating, and self-identifying codes in the circulant graphs Cnk,d, Cnk,d−k,d, and Cnk,d−k,d,d+k are studied, and this extends Junnila et al.’s results to general cases.