Perfect codes from \(\operatorname{PGL}(2,5)\) in star graphs

DOI10.33048/semi.2020.17.034zbMath1434.94116arXiv1903.08824OpenAlexW3018639891MaRDI QIDQ2182232

Ivan Yu. Mogilnykh

Publication date: 21 May 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.08824

zbMATH Keywords

Cayley graphsymmetric groupstar graphefficient dominating setperfect codeprojective linear group

Mathematics Subject Classification ID

Other types of codes (94B60)

Cites Work

• Unnamed Item
• Unnamed Item
• \(PI\)-eigenfunctions of the Star graphs
• Integral Cayley graphs
• Multiplicities of eigenvalues of the star graph
• Nonexistence of efficient dominating sets in the Cayley graphs generated by transposition trees of diameter 3
• Automorphism groups of Cayley graphs on symmetric groups with generating transposition sets
• Bounds on the Size of Permutation Codes With the Kendall <inline-formula> <tex-math notation="LaTeX">$\tau $ </tex-math></inline-formula>-Metric
• Rank Modulation for Flash Memories

This page was built for publication: Perfect codes from \(\operatorname{PGL}(2,5)\) in star graphs