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- W2949465971 abstract "Extending earlier results of Godsil and of Dobson and Malnic on Johnson graphs, we characterise those merged Johnson graphs $J=J(n,k)_I$ which are Cayley graphs, that is, which are connected and have a group of automorphisms acting regularly on the vertices. We also characterise the merged Johnson graphs which are not Cayley graphs but which have a transitive group of automorphisms with vertex-stabilisers of order $2$. Even though these merged Johnson graphs are all vertex-transitive, we show that only relatively few of them are Cayley graphs or have a transitive group of automorphisms with vertex-stabilisers of order $2$." @default.
- W2949465971 created "2019-06-27" @default.
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- W2949465971 date "2015-09-10" @default.
- W2949465971 modified "2023-09-23" @default.
- W2949465971 title "Cayley properties of merged Johnson graphs" @default.
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- W2949465971 hasPublicationYear "2015" @default.
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