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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 129, Pages 30–38 (Mi znsl4255)  
Unimodular lattices and strongly regular graphs

B. B. Venkov
Full-text PDF (435 kB)
Abstract: 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.
Bibliographic databases:
Document Type: Article
UDC: 511.44
Language: Russian
Citation: B. B. Venkov, “Unimodular lattices and strongly regular graphs”, Automorphic functions and number theory. Part I, Zap. Nauchn. Sem. LOMI, 129, "Nauka", Leningrad. Otdel., Leningrad, 1983, 30–38
Citation in format AMSBIB
\Bibitem{Ven83}
\by B.~B.~Venkov
\paper Unimodular lattices and strongly regular graphs
\inbook Automorphic functions and number theory. Part~I
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 129
\pages 30--38
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4255}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=703006}
\zmath{https://zbmath.org/?q=an:0514.10017}
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  • https://www.mathnet.ru/eng/znsl/v129/p30
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