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math.CO2018
On the König-Hall-Egerváry theorem for multidimensional matrices and multipartite hypergraphs
Anna A. Taranenko
One of possible interpretations of the well-known König--Hall--Egerváry theorem is a full characterization of all bipartite graphs extremal for fractional matchings of a given weig…
math.CO2018
Positiveness of the permanent of 4-dimensional polystochastic matrices of order 4
Anna Taranenko
A nonnegative multidimensional matrix is called polystochastic if the sum of its entries over each line is equal to . In this paper we overview known results on positiveness of…