Akiko Yazawa

activity

20182020

most citedStrict log-concavity of the Kirchhoff polynomial and its applications to the strong Lefschetz property

8 citations · 8 across the 3 of their papers we have counts for

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math.CO2020

The eigenvalues of the Hessian matrices of the generating functions for trees with $k$ components

Akiko Yazawa

Let us consider a truncated matroid $M_{Γ}^{r}$ of rank $r$ of a graphic matroid of a graph $Γ$ . The basis for $M_{Γ}^{r}$ is the set of the forests with $r$ edges in $Γ$ . We consider…

math.CO2020

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 $M$ , its basis generating polynomial and its independent…

math.CO2018

The eigenvalues of Hessian matrices of the complete and complete bipartite graphs

Akiko Yazawa

In this paper, we consider the Hessian matrices $H_{Γ}$ of the complete and complete bipartite graphs, and the special value of $H ~_{Γ}$ at $x_{i} = 1$ for all $x_{i}$ . We compute…

The eigenvalues of the Hessian matrices of the generating functions for trees with k components

Strictness of the log-concavity of generating polynomials of matroids

The eigenvalues of Hessian matrices of the complete and complete bipartite graphs

The eigenvalues of the Hessian matrices of the generating functions for trees with $k$ components