Distance regular graphs of diameter 3 and strongly regular graphs (Q793040)
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scientific article; zbMATH DE number 3855133
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distance regular graphs of diameter 3 and strongly regular graphs |
scientific article; zbMATH DE number 3855133 |
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Distance regular graphs of diameter 3 and strongly regular graphs (English)
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1984
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In a paper by \textit{N. L. Biggs} [Ann. Discrete Math. 15, 69-80 (1982; Zbl 0506.05057)], two parameter sets for distance regular graphs that are antipodal covers of a complete graph were mentioned for which the existence of a corresponding graph was unknown. In this paper both cases are settled by proving that one does not exist, while there are exactly two non-isomorphic solutions to the other. Also noted are some relations with strongly regular graphs and generalized quadrangles.
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association scheme
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strongly regular graphs
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distance regular graphs
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generalized quadrangles
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