Small AT4-graphs and strongly regular subgraphs corresponding to them


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Abstract

Let M be the class of strongly regular graphs for which μ is a nonprincipal eigenvalue. Note that the neighborhood of any vertex of an AT4-graph lies in M. Parameters of graphs from M were described earlier. We find intersection arrays of small AT4-graphs and of strongly regular graphs corresponding to them.

About the authors

A. A. Makhnev

Krasovskii Institute of Mathematics and Mechanics; Ural Federal University

Author for correspondence.
Email: makhnev@imm.uran.ru
Russian Federation, Yekaterinburg, 620990; Yekaterinburg, 620002

D. V. Paduchikh

Ural Federal University

Email: makhnev@imm.uran.ru
Russian Federation, Yekaterinburg, 620002

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