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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2022 Volume 316, Pages 248–269 (Mi tm4225)
This article is cited in 4 papers

$k$-Configurations

F. M. Malyshev

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: We survey the results of many authors on the construction of nonsingular binary matrices with the same number of ones in their rows and columns and in the rows and columns of their inverses.

Keywords: configurations, block designs, finite groups, symmetric graphs, regular polyhedra, surface triangulations.

UDC: 519.142.1+512.62

Received: May 11, 2021
Revised: June 7, 2021
Accepted: September 16, 2021

DOI: 10.4213/tm4225


 English version: Proceedings of the Steklov Institute of Mathematics, 2022, 316, 233–253

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© Steklov Math. Inst. of RAS, 2025