54 citations · 123 across the 39 of their papers we have counts for
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Counting Integral Points in Polytopes via Numerical Analysis of Contour Integration
Hiroshi Hirai, Ryunosuke Oshiro, Ken'ichiro Tanaka
In this paper, we address the problem of counting integer points in a rational polytope described by , where is an $n \t…
Computing the degree of determinants via discrete convex optimization on Euclidean buildings
Hiroshi Hirai
In this paper, we consider the computation of the degree of the Dieudonné determinant of a linear symbolic matrix , where each is an $n…
Uniform semimodular lattices and valuated matroids
Hiroshi Hirai
In this paper, we present a lattice-theoretic characterization for valuated matroids, which is an extension of the well-known cryptomorphic equivalence between matroids and geometr…
A tractable class of binary VCSPs via M-convex intersection
Hiroshi Hirai, Yuni Iwamasa, Kazuo Murota +1
A binary VCSP is a general framework for the minimization problem of a function represented as the sum of unary and binary cost functions. An important line of VCSP research is to…
Uniform modular lattices and affine buildings
Hiroshi Hirai
In this paper, we present a simple lattice-theoretic characterization for affine buildings of type A. We introduce a class of modular lattices, called uniform modular lattices, and…