13 citations · 39 across the 18 of their papers we have counts for
4 papers · 1 filter
Multidimensional threshold matrices and extremal matrices of order
Anna A. Taranenko
The paper is devoted to multidimensional -matrices extremal with respect to containing a polydiagonal (a fractional generalization of a diagonal). Every extremal matrix is a…
Singleton mesh patterns in multidimensional permutations
Sergey Avgustinovich, Sergey Kitaev, Jeffrey Liese +2
This paper introduces the notion of mesh patterns in multidimensional permutations and initiates a systematic study of singleton mesh patterns (SMPs), which are multidimensional me…
Perfect colorings of hypergraphs
Anna A. Taranenko
Perfect colorings (equitable partitions) of graphs are extensively studied, while the same concept for hypergraphs attracts much less attention. The aim of this paper is to develop…
On five types of crucial permutations with respect to monotone patterns
Sergey Avgustinovich, Sergey Kitaev, Anna Taranenko
A crucial permutation is a permutation that avoids a given set of prohibitions, but any of its extensions, in an allowable way, results in a prohibition being introduced. In this p…