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The Connectivity of Strongly Regular Graphs

✍ Scribed by Brouwer, A.E.; Mesner, D.M.


Book ID
122069390
Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
140 KB
Volume
6
Category
Article
ISSN
0195-6698

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πŸ“œ SIMILAR VOLUMES


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

Random strongly regular graphs?
✍ Peter J. Cameron πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 203 KB
Strongly walk-regular graphs
✍ van Dam, E.R.; Omidi, G.R. πŸ“‚ Article πŸ“… 2013 πŸ› Elsevier Science 🌐 English βš– 160 KB
Disconnecting strongly regular graphs
✍ CioabΔƒ, Sebastian M.; Koolen, Jack; Li, Weiqiang πŸ“‚ Article πŸ“… 2014 πŸ› Elsevier Science 🌐 English βš– 418 KB
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