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2024-ary quasigroups and related topics
November 22, 2024 11:00, Novosibirsk, Sobolev Institute of Mathematics, room 115


Enumeration of vertices of a polyhedron of polystochastic matrices of small order and dimension

A. A. Taranenko

Abstract: The report will present a method for computer search of vertices of a polyhedron of polystochastic matrices of fixed dimension and order. With this method , we found all vertices of polyhedrons of 4-dimensional polystochastic matrices of order 3 and 3-dimensional polystochastic matrices of order 4. In addition, for the listed vertices, such parameters as permanent, symmetry, support size and sets of values ​​that their elements take were investigated.

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© Steklov Math. Inst. of RAS, 2024