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- W2606663244 abstract "A graph with some graph symmetry property is top, if it cannot be viewed as a nontrivial normal quotient of some other graph with the same graph symmetry property. Therefore, a graph being top implies that it has no nontrivial normal multicovers, including normal covers. John Conway proved that every s -arc-transitive graph has a nontrivial s -arc-transitive normal cover, so there is no top s -arc-transitive graph. However, there exist top locally- s -distance-transitive graphs, and complete multipartite graphs are examples of this. In this paper, we give a generic condition for locally- s -distance-transitive graphs to be top. Also, examples and characterizations of graphs that admit this condition are given." @default.
- W2606663244 created "2017-04-28" @default.
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- W2606663244 date "2017-08-01" @default.
- W2606663244 modified "2023-09-29" @default.
- W2606663244 title "On top locally-s-distance-transitive graphs" @default.
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- W2606663244 doi "https://doi.org/10.1016/j.disc.2017.03.008" @default.
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