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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1983 Volume 129, Pages 30–38 (Mi znsl4255)

Unimodular lattices and strongly regular graphs

B. B. Venkov


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.

UDC: 511.44



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