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Takayuki Hibi

Takayuki Hibi

D-Index & Metrics

Mathematics

D-Index
44
Citations
8289
World Ranking
1582
National Ranking
23

Overview

Takayuki Hibi is affiliated with Osaka University in Japan and has an extensive publication record, particularly in the fields of Mathematics and Computer Science. Their research primarily focuses on areas within Algebra and Number Theory, Geometry and Topology, and Computational Theory and Mathematics, demonstrating a consistent interest in both theoretical and applied aspects of these disciplines.

Hibi's work covers a variety of topics that include:

  • Commutative Algebra and Its Applications
  • Polynomial and algebraic computation
  • Algebraic structures and combinatorial models
  • Rings, Modules, and Algebras
  • Algebraic Geometry and Number Theory
  • Advanced Combinatorial Mathematics
  • Graph theory and applications

Several recent papers illustrate the research directions taken by Hibi. These include:

  • "Canonical trace ideal and residue for numerical semigroup rings," 2021, published in Semigroup Forum
  • "Matchings and squarefree powers of edge ideals," 2022, published in Journal of Combinatorial Theory Series A
  • "The Regularity of Edge Rings and Matching Numbers," 2020, published in Mathematics
  • "An upper bound for the regularity of powers of edge ideals," 2020, published in MATHEMATICA SCANDINAVICA
  • "The normalized depth function of squarefree powers," 2023, published in Collectanea mathematica

Hibi has collaborated frequently with several co-authors across their research projects. Notable collaborators include:

  • Jürgen Herzog
  • Somayeh Moradi
  • Huy Tài Hà
  • Nursel Erey
  • Kazunori Matsuda

The most common venues for their research dissemination are:

  • arXiv (Cornell University)
  • MATHEMATICA SCANDINAVICA
  • Journal of Combinatorial Theory Series A
  • Collectanea mathematica
  • The Electronic Journal of Combinatorics

Takayuki Hibi's work spans areas centered around the structure and properties of algebraic and combinatorial objects with a strong emphasis on commutative algebra and graph-theoretic applications. This multidisciplinary engagement reflects the broader intersection of algebra, combinatorics, and computational approaches in their research portfolio.

Best Publications

  • Monomial Ideals

    Jürgen Herzog;Takayuki Hibi

  • Toric Ideals Generated by Quadratic Binomials

    Hidefumi Ohsugi;Takayuki Hibi

  • Distributive Lattices, Affine Semigroup Rings and Algebras with Straightening Laws

    Takayuki Hibi

  • Binomial edge ideals and conditional independence statements

    Jürgen Herzog;Takayuki Hibi;Freyja Hreinsdóttir;Thomas Kahle

  • Componentwise linear ideals

    Jürgen Herzog;Takayuki Hibi

  • Note dual polytopes of rational convex polytopes

    Takayuki Hibi

  • Distributive Lattices, Bipartite Graphs and Alexander Duality

    Jürgen Herzog;Takayuki Hibi

  • Normal Polytopes Arising from Finite Graphs

    Hidefumi Ohsugi;Takayuki Hibi

  • Discrete Polymatroids

    Jürgen Herzog;Takayuki Hibi

  • The depth of powers of an ideal

    Juergen Herzog;Takayuki Hibi

  • Dirac's theorem on chordal graphs and Alexander duality

    Jürgen Herzog;Takayuki Hibi;Xinxian Zheng

  • Monomial ideals whose powers have a linear resolution

    Jürgen Herzog;Takayuki Hibi;Xinxian Zheng

  • Squarefree lexsegment ideals

    Annetta Aramova;Jürgen Herzog;Takayuki Hibi

  • Symbolic powers of monomial ideals and vertex cover algebras

    Jürgen Herzog;Takayuki Hibi;Ngô Viêt Trung

  • Gotzmann Theorems for Exterior Algebras and Combinatorics

    Annetta Aramova;Jürgen Herzog;Takayuki Hibi

  • Cohen-Macaulay chordal graphs

    Jürgen Herzog;Takayuki Hibi;Xinxian Zheng

  • Cohen-Macaulay binomial edge ideals

    Viviana Ene;Juergen Herzog;Takayuki Hibi

  • Ideals with Stable Betti Numbers

    Annetta Aramova;Jürgen Herzog;Takayuki Hibi

  • The trace of the canonical module

    Jürgen Herzog;Takayuki Hibi;Dumitru I. Stamate

  • A Lower Bound Theorem for Ehrhart Polynomials of Convex Polytopes

    T. Hibi

  • Combinatorial pure subrings

    Hidefumi Ohsugi;Jürgen Herzog;Takayuki Hibi

Frequent Co-Authors

Jürgen Herzog
Jürgen Herzog University of Duisburg-Essen
Ngo Viet Trung
Ngo Viet Trung Vietnam Academy of Science and Technology
Akimichi Takemura
Akimichi Takemura Shiga University
Winfried Bruns
Winfried Bruns Osnabrück University
Aldo Conca
Aldo Conca University of Genoa
Anders Björner
Anders Björner Royal Institute of Technology

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