On graphs the neighbourhoods of whose vertices are strongly regular with $k=2\mu$
Sbornik. Mathematics, Tome 191 (2000) no. 7, pp. 1033-1048
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It is proved that an amply regular graph of diameter greater than 2 the neighbourhoods of whose vertices are strongly regular with $k=2\mu$ is a Taylor graph. A description of the locally Paley graphs is obtained. Uniform extensions of the partial geometries $pG_2(4,t)$ are found.
@article{SM_2000_191_7_a4,
author = {A. A. Makhnev},
title = {On graphs the neighbourhoods of whose vertices are strongly regular with $k=2\mu$},
journal = {Sbornik. Mathematics},
pages = {1033--1048},
publisher = {mathdoc},
volume = {191},
number = {7},
year = {2000},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2000_191_7_a4/}
}
A. A. Makhnev. On graphs the neighbourhoods of whose vertices are strongly regular with $k=2\mu$. Sbornik. Mathematics, Tome 191 (2000) no. 7, pp. 1033-1048. http://geodesic.mathdoc.fr/item/SM_2000_191_7_a4/