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Distance-regular graphs admitting a perfect 1-code

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Publication:2113339
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DOI10.1016/j.disc.2021.112787zbMath1484.05207OpenAlexW4206307665MaRDI QIDQ2113339

Mojtaba Jazaeri

Publication date: 14 March 2022

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112787


zbMATH Keywords

distance-regular graphperfect 1-code


Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Distance in graphs (05C12) Combinatorial codes (94B25)


Related Items (1)

On the order of antipodal covers


Uses Software

  • GAP
  • FinInG


Cites Work

  • Unnamed Item
  • Extremal 1-codes in distance-regular graphs of diameter 3
  • The uniqueness of a generalized hexagon of order 3 containing a subhexagon of order \((1,3)\)
  • Perfect codes over graphs
  • On generalized hexagons and a near octagon whose lines have three points
  • Domination and efficient domination in cubic and quartic Cayley graphs on abelian groups
  • Efficient domination in Cayley graphs of generalized dihedral groups
  • The Sylvester graph and Moore graphs
  • Perfect codes in graphs
  • Distance-regular Cayley graphs with small valency




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