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Matematicheskie Zametki, 2009, Volume 86, Issue 1, Pages 22–36
DOI: https://doi.org/10.4213/mzm5097 (Mi mzm5097) 		 
This article is cited in 1 scientific paper (total in 2 paper)

Automorphisms of Coverings of Strongly Regular Graphs with Parameters (81,20,1,6)

Guo Wenbin, A. A. Makhnev, D. V. Paduchikh

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (494 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm5097
Abstract: The possible orders and subgraphs of fixed points of the automorphisms of distance-regular graphs of diameter 4 which are $r$-coverings of a strongly regular graph with parameters (81,20,1,6) for $r\in\{2,3,6\}$ are found. It is proved that, if the automorphism group of a covering of the above type acts transitively on the set of vertices of the graph, then $r=3$.
Keywords: distance-regular graph, intersection array, adjacency maytix, covering of a graph, automorphism group, character of a finite group, clique, coclique, Sylow subgroup.
Received: 14.05.2008
English version:
Mathematical Notes, 2009, Volume 86, Issue 1, Pages 26–40
DOI: https://doi.org/10.1134/S0001434609070049
Bibliographic databases:
UDC: 519.17+512.54
Language: Russian
Citation: Guo Wenbin, A. A. Makhnev, D. V. Paduchikh, “Automorphisms of Coverings of Strongly Regular Graphs with Parameters (81,20,1,6)”, Mat. Zametki, 86:1 (2009), 22–36; Math. Notes, 86:1 (2009), 26–40
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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