Automorphisms of coverings of strongly regular graphs with parameters (81,20,1,6) |
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Authors: | Wen-Bin Guo A A Makhnev D V Paduchikh |
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Institution: | 1. Institute of Mathematics and Mechanics, Ural Division of the Russian Academy of Sciences, Ural, Russia
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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 ∈ {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. |
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