Distance-regular graph with intersection array \(\{105,72,24;1,12,70\}\) does not exist

DOI10.33048/SEMI.2019.16.012zbMath1410.05031OpenAlexW3016264371MaRDI QIDQ2633596

Ivan Nikolaevich Belousov, Aleksandr Alekseevich Makhnev

Publication date: 9 May 2019

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

Full work available at URL: https://doi.org/10.33048/semi.2019.16.012

zbMATH Keywords

distance-regular graphtriple intersection numbersShilla graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12)

Related Items (2)

Automorphisms of a distance-regular graph with intersection array \(\{30,22,9;1,3,20\}\) ⋮ Automorphisms of distance-regular graph with intersection array \(\{24,18,9;1,1,16\}\)

Cites Work

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• Extremal 1-codes in distance-regular graphs of diameter 3
• Shilla distance-regular graphs
• Distance-regular graphs with intersection arrays \(\{42,30,12;1,6,28\}\) and \(\{60,45,8;1,12,50\}\) do not exist

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