On graphs the neighbourhoods of whose vertices are strongly regular with k=2 mu

Authors
Makhnev, AA
Citation
Aa. Makhnev, On graphs the neighbourhoods of whose vertices are strongly regular with k=2 mu, SB MATH, 191(7-8), 2000, pp. 1033-1048
Citations number
13
Categorie Soggetti
Mathematics
Journal title
SBORNIK MATHEMATICS
ISSN journal
10645616 → ACNP
Volume
191
Issue
7-8
Year of publication
2000
Pages
1033 - 1048
Database
ISI
SICI code
1064-5616(200007/08)191:7-8<1033:OGTNOW>2.0.ZU;2-3
Abstract
It is proved that an amply regular graph of diameter greater than 2 the nei ghbourhoods of whose vertices are strongly regular with k = 2 mu is a Taylo r graph. A description of the locally Paley graphs is obtained. Uniform ext ensions of the partial geometries pG(2)(4, t) are found.