30 citations · 123 across the 31 of their papers we have counts for
31 papers
On gapped repeats in a cyclic Fibonacci word
Takashi Horiyama, Yasuhide Numata, Kazuhisa Seto +1
In this article, we consider the words with cyclic indices. For given , we consider the pair of indices such that the word of length from is equal to the word of…
Explicit description of a basis for derivations of a Coxeter multiarrangement of type
Shota Maehara, Yasuhide Numata
In this article, we consider the multiarrangements whose underlying arrangements are the Coxeter arrangement of type . For some special multiplicities, we give an explicit des…
The Lefschetz property for an algebra defined by matchings
Yasuhide Numata
In this article, we consider the weighted generating function of matchings in the complete graph. We define an Artinian Gorenstein algebra as the quotient ring of a polynomial ring…
Faces of Directed Edge Polytopes
Yasuhide Numata, Yusuke Takahashi, Dai Tamaki
Given a finite quiver (directed graph) without loops and multiedges, the convex hull of the column vector of the incidence matrix is called the directed edge polytope and is an int…
On the action of the toggle group of the Dynkin diagram of type A
Yasuhide Numata, Yuiko Yamanouchi
In this article, we consider involutions, called togglings, on the set of independent sets of the Dynkin diagram of type A, or a path graph. We are interested in the action of the…
On the determinant of multiplication map of a monomial complete intersection ring
Yasuhide Numata
In this article, we consider the monomial complete intersection algebra in two variables. For elements of degree $1…