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Strongly regular graphs with Hoffman’s condition

✍ Scribed by V. V. Kabanov; S. V. Unegov

Book ID: 110189863
Publisher: SP MAIK Nauka/Interperiodica
Year: 2008
Tongue: English
Weight: 354 KB
Volume: 261
Category: Article
ISSN: 0081-5438
DOI: 10.1134/s008154380805009x

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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 ÿrst assertion is a special case of a theorem of Sh