On graphs in which neighborhoods of vertices are isomorphic to the Higman-Sims graph

Please use this identifier to cite or link to this item: https://elar.urfu.ru/handle/10995/51348

Title:	On graphs in which neighborhoods of vertices are isomorphic to the Higman-Sims graph
Authors:	Makhnev, A. A. Paduchikh, D. V.
Issue Date:	2012
Citation:	Makhnev A. A. On graphs in which neighborhoods of vertices are isomorphic to the Higman-Sims graph / A. A. Makhnev, D. V. Paduchikh // Proceedings of the Steklov Institute of Mathematics. — 2012. — Vol. 279. — № 1. — P. 73-83.
Abstract:	The Higman-Sims graph is the unique strongly regular graph with parameters (100, 22, 0, 6). In this paper, amply regular graphs in which neighborhoods of vertices are isomorphic to the Higman-Sims graph are classified. This result continues the investigation of amply regular locally F-graphs, where F is the class of strongly regular graphs without triangles. © 2012 Pleiades Publishing, Ltd.
Keywords:	HIGMAN-SIMS GRAPH LOCALLY F-GRAPH STRONGLY REGULAR GRAPH
URI:	http://elar.urfu.ru/handle/10995/51348
Access:	info:eu-repo/semantics/restrictedAccess
SCOPUS ID:	84871279020
WOS ID:	000312634700006
PURE ID:	1069294
ISSN:	0081-5438
DOI:	10.1134/S0081543812090064
Appears in Collections:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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