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math.CO2026
Biregular bipartite multigraphs and matchings in tensor products of bipartite graphs
Ilya I. Bogdanov, Fedor Petrov, Anton Sadovnichiy +1
We answer a question of P. Higgins on permutations and involutions in binary arrays, arising in the study of regular finite semigroups. For a binary rectangular matrix M, we prove…
math.CO2016★ 3 cited
Combinatorial results implied by many zero divisors in a group ring
Fedor Petrov
It has been recently proved (by Croot, Lev and Pach and the subsequent work by Ellenberg and Gijswijt) that for a group , where is a fixed finite Abeli…
math.CO2010★ 6 cited
Partitions of nonzero elements of a finite field into pairs
R. N. Karasev, F. V. Petrov
In this paper we prove that the nonzero elements of a finite field with odd characteristic can be partitioned into pairs with prescribed difference (maybe, with some alternatives)…