6 citations · 7 across the 3 of their papers we have counts for
3 papers
math.CO2023
Algebraic combinatorial optimization on the degree of determinants of noncommutative symbolic matrices
Hiroshi Hirai, Yuni Iwamasa, Taihei Oki +1
We address the computation of the degrees of minors of a noncommutative symbolic matrix of form \[ A[c] := \sum_{k=1}^m A_k t^{c_k} x_k, \] where are matrices over a field $\…
math.OC2016★ 6 cited
L-convexity on graph structures
Hiroshi Hirai
In this paper, we study classes of discrete convex functions: submodular functions on modular semilattices and L-convex functions on oriented modular graphs. They were introduced b…
math.OC2016★ 1 cited
A compact representation for minimizers of -submodular functions
Hiroshi Hirai, Taihei Oki
A -submodular function is a generalization of submodular and bisubmodular functions. This paper establishes a compact representation for minimizers of a -submodular function…