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Distance-Regular Graphs with Strongly Regular Subconstituents

✍ Scribed by Anna Kasikova


Book ID
110265735
Publisher
Springer
Year
1997
Tongue
English
Weight
87 KB
Volume
6
Category
Article
ISSN
0925-9899

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πŸ“œ SIMILAR VOLUMES


Distance regular graphs of diameter 3 an
✍ A.E Brouwer πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 124 KB

In [1] N.L. Biggs mentions two parameter sets for distance regular graphs that are antipodal covers of a complete graph, for which existence of a corresponding graph was unknown. Here we settle both cases by proving that one does not exist, while there are exactly two nonisomorphic solutions to the

Random strongly regular graphs?
✍ Peter J. Cameron πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 289 KB

Strongly regular graphs lie on the cusp between highly structured and unstructured. For example, there is a unique strongly regular graph with parameters (36; 10; 4; 2), but there are 32548 non-isomorphic graphs with parameters (36; 15; 6; 6). (The ΓΏrst assertion is a special case of a theorem of Sh