8 citations · 8 across the 3 of their papers we have counts for
5 papers
On Artinian Gorenstein algebras associated to the face posets of regular polyhedra
Akiko Yazawa
We introduce Artinian Gorenstein algebras defined by the face posets of regular polyhedra. We consider the strong Lefschetz property and Hodge--Riemann relation for the algebras. W…
The eigenvalues of the Hessian matrices of the generating functions for trees with components
Akiko Yazawa
Let us consider a truncated matroid of rank of a graphic matroid of a graph . The basis for is the set of the forests with edges in . We consider…
Strictness of the log-concavity of generating polynomials of matroids
Satoshi Murai, Takahiro Nagaoka, Akiko Yazawa
Recently, it was proved by Anari-Oveis Gharan-Vinzant, Anari-Liu-Oveis Gharan-Vinzant and Brändén-Huh that, for any matroid , its basis generating polynomial and its independent…
Strict log-concavity of the Kirchhoff polynomial and its applications to the strong Lefschetz property
Takahiro Nagaoka, Akiko Yazawa
Anari, Gharan, and Vinzant proved (complete) log-concavity of the basis generating functions for all matroids. From the viewpoint of combinatorial Hodge theory, it is natural to as…
The eigenvalues of Hessian matrices of the complete and complete bipartite graphs
Akiko Yazawa
In this paper, we consider the Hessian matrices of the complete and complete bipartite graphs, and the special value of at for all . We compute…