We describe and study an explicit structure of a regular cell complex K (L) K (L) on the
moduli space M (L) of a planar polygonal linkage L. The combinatorics is very much related …

In this paper, we describe a relation between the notion of graphicahedron, introduced by
Araujo-Pardo, Del Río-Francos, López-Dudet, Oliveros, and Schulte in 2010 and toric …

A periodic tridiagonal matrix is a tridiagonal matrix with an additional two entries at the
corners. We study the space X n, λ of Hermitian periodic tridiagonal n× n matrices with a …

An arrow matrix is a matrix with zeroes outside the main diagonal, first row, and first column.
We consider the space $ M_ {St_n,\lambda} $ of Hermitian arrow $(n+ 1)\times (n+ 1) …

In this paper we prove that there exists an asymptotical diagonalization algorithm for a class
of sparse Hermitian (or real symmetric) matrices if and only if the matrices become …

The face poset of the permutohedron realizes the combinatorics of linearly ordered partitions
of the set. Similarly, the cyclopermutohedron is a virtual polytope that realizes the …

Матрицей-стрелкой называется матрица с нулями вне главной диагонали, первой
строки и первого столбца. В работе исследуется пространство MStn, λ всех эрмитовых …

The emerging field of topological robotics lies on the crossroads of algebraic topology and
engineering. One of the objects studied in this area is the set of all configurations of a given …

Motivated by the work of Panina and her coauthors on cyclopermutohedron we study a
poset whose elements correspond to equivalence classes of partitions of the set {1,⋯, n+ 1} …

• Матрицы-столбцы размера 1¢ n будем отождествлÿть с векторами из
арифметического векторного пространства k n. Когда речь идет про вектор vkn, запись …