Automorphisms of distance-regular graph with intersection array \(\{24,18,9;1,1,16\}\)

DOI10.33048/SEMI.2019.16.105zbMath1426.05066OpenAlexW3016069930MaRDI QIDQ2334785

Yanyan Li

Publication date: 7 November 2019

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

Full work available at URL: https://doi.org/10.33048/semi.2019.16.105

zbMATH Keywords

automorphismdistance-regular graph

Mathematics Subject Classification ID

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

Related Items (1)

On small distance-regular graphs with the intersection arrays \( \{mn - 1, (m - 1)(n + 1), n - m + 1; 1, 1, (m - 1)(n + 1)\}\)

Cites Work

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• On automorphisms of distance-regular graphs with intersection array \(\{56,\, 45,\, 1;\, 1,\, 9,\, 56\}\)
• On automorphisms of distance-regular graph with intersection array \(\{15, 12, 6; 1, 2, 10\}\)
• Shilla distance-regular graphs
• Shilla distance-regular graphs with \(b_2 = sc_2\)
• A Shilla graph with intersection array \(\{12, 10, 2; 1, 2, 8\}\) does not exist
• Finite simple groups with narrow prime spectrum.
• Distance-regular graphs with intersection arrays \(\{42,30,12;1,6,28\}\) and \(\{60,45,8;1,12,50\}\) do not exist
• Distance-regular graph with intersection array \(\{105,72,24;1,12,70\}\) does not exist

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