Unimodular lattices and strongly regular graphs
Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part I, Tome 129 (1983), pp. 30-38
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New connections are found between unimodular even lattices and strongly regular graphs. Two cases are considered: the case of lattices of dimension 32 with root sistem of type $A_1$ and the case of extremal lattice of dimension $48$. In both cases strongly regular graphs are constructed from a given lattice. In the first case these graphs have the same parameters as the graphs arising from some Steiner geomerties.
@article{ZNSL_1983_129_a2,
author = {B. B. Venkov},
title = {Unimodular lattices and strongly regular graphs},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {30--38},
publisher = {mathdoc},
volume = {129},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_129_a2/}
}
B. B. Venkov. Unimodular lattices and strongly regular graphs. Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part I, Tome 129 (1983), pp. 30-38. http://geodesic.mathdoc.fr/item/ZNSL_1983_129_a2/