Neighbour-transitive codes in Kneser graphs

DOI10.1016/j.jcta.2023.105850arXiv2307.09752OpenAlexW4389766076MaRDI QIDQ6201495

Nina Mostarac, Daniel R. Hawtin, Dean Crnković, Andrea Švob

Publication date: 21 February 2024

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.09752

zbMATH Keywords

Kneser graphcompletely transitive codeneighbour-transitive code

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial codes (94B25) Group actions on combinatorial structures (05E18)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perfect codes in Doob graphs
• On sets with few intersection numbers in finite projective and affine spaces
• Completely transitive codes in Hamming graphs
• On the classification of binary completely transitive codes with almost-simple top-group
• Sporadic neighbour-transitive codes in Johnson graphs
• Minimal binary 2-neighbour-transitive codes
• Neighbour-transitive codes in Johnson graphs
• Perfect codes in graphs
• Neighbour-transitive codes and partial spreads in generalised quadrangles
• Nonexistence of completely transitive codes with error-correcting capability e<3
• Perfect Codes in Cayley Graphs
• Transitive $t$-designs and strongly regular graphs constructed from linear groups $L(2,q)$, $q leq 23$
• On completely regular codes

This page was built for publication: Neighbour-transitive codes in Kneser graphs