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Locating and Identifying Codes in Circulant Graphs

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  • Shu Jiao Song
  • Weiqian Zhang
  • Can Xu
  • Akbar Ali

Abstract

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.

Suggested Citation

  • Shu Jiao Song & Weiqian Zhang & Can Xu & Akbar Ali, 2021. "Locating and Identifying Codes in Circulant Graphs," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-9, October.
    • Handle: RePEc:hin:jnddns:4056910
    DOI: 10.1155/2021/4056910
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