Takayuki Hibi

Takayuki Hibi

J-GLOBAL         Last updated: Jun 15, 2019 at 15:39
Takayuki Hibi
Osaka University
Graduate School of Information Science and Technology Department of Pure and Applied Mathematics
Job title
(BLANK)(Nagoya University)
Research funding number

Research Areas


Academic & Professional Experience

Assistant Professor
Associate Professor
Science and Technology, Professor
Nagoya University Scool of Science, Research
Hokkaido University Scool of Science,
Hokkaido University Scool of Science,
Osaka University Scool of Science, Professor
Osaka University, Graduate Scool of Science,


School of Science, Nagoya University
Mathematics, Graduate School & Science, Hiroshima University

Published Papers

Induced matching numbers of finite graphs and edge ideals
Takayuki Hibi, Hiroju Kanno, Kazunori Matsuda
J. Algebra   532 311-322   2019   [Refereed]
The relevance of Freiman's theorem for combinatorial commutative algebra
Jürgen Herzog, Takayuki Hibi, Guangjun Zhu
Math. Z.   219 999-1014   2019   [Refereed]
Lexsegment ideals and their h-polynomials
Takayuki Hibi, Kazunori Matsuda
Acta Math. Vietnam   44 83-86   2019   [Refereed]
Regularity and h-polynomials of edge ideals
Takayuki Hibi, Kazunori Matsuda, Adam Van Tuyl
Electron. J. Combin.   26    2019   [Refereed]
Reflexive polytopes arising from partially ordered sets and perfect graphs
Takayuki Hibi, Akiyoshi Tsuchiya
J. Algebraic Combin.   49 69-81   2019   [Refereed]
Ehrhart polynomials with negative coefficients
Takayuki Hibi, Akihiro Higashitani, Akiyoshi Tsuchiya, Koutarou Yoshida
Graphs Combin.   35 363-371   2019   [Refereed]
Regularity and h-polynomials of monomial ideals
Takayuki Hibi, Kazunori Matsuda
Math. Nachr.   291 2427-2434   2018   [Refereed]
Laplacian simplices associated to digraphs
Gabriele Balletti, Takayuki Hibi, Marie Meyer, Akiyoshi Tsuchiya
Ark. Mat.   56 243-264   2018   [Refereed]
Takayuki Hibi, Akiyoshi Tsuchiya
J. Combin. Theory Ser. A   157 233-246   2018   [Refereed]
Isotonian algebras
Mina Bigdeli, Jürgen Herzog, Takayuki Hibi, Ayesha A. Qureshi and Akihiro Shikama
Nagoya Math. J.   230 83-101   2018   [Refereed]
Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes
Hidefumi Ohsugi, Takayuki Hibi
J. Commut. Algebra   10 171-186   2018   [Refereed]
Ehrhart series of fractional stable set polytopes of finite graphs
Ginji Hamano, Takayuki Hibi, Hidefumi Ohsugi
Ann. Comb.   22 563-573   2018   [Refereed]
Takayuki Hibi, Akihiro Higashitani, Koutarou Yoshida
European J. Combin.   70 374-383   2018   [Refereed]
The numbers of edges of the order polytope and the chain polytope of a finite partially ordered set
Takayuki Hibi, Nan Li, Yoshimi Sahara, Akihiro Shikama
Discrete Math.   340 991-994   2017   [Refereed]
Takayuki Hibi, Akiyoshi Tsuchiya
290 2619-2628   2017   [Refereed]
Hidefumi Ohsugi, Takayuki Hibi
European J. Combin.   59 122-128   2017   [Refereed]
Pfaffian systems of A-hypergeometric equations I: bases of twisted cohomology groups
Takayuki Hibi, Kenta Nishiyama, Nobuki Takayama
Advances in Mathematics   306 303-327   2017   [Refereed]
Flat Tex-vectors and their Ehrhart polynomials
Takayuki Hibi, Akiyoshi Tsuchiya
108 151-157   2017   [Refereed]
The smallest normal edge polytopes with no regular unimodular triangulations
Ginji Hamano, Takuji Hayashi, Takayuki Hibi, Koichi Hirayama, Hidefumi Ohsugi, Kei Sato, Akihiro Shikama, Akiyoshi Tsuchiya
``Homological and Computational Methods in Commutative Algebra,'' Springer INdAM Ser.   20 163-172   2017   [Refereed][Invited]
Markov bases of two-way change-point models of ladder determinantal tables
Satoshi Aoki, Takayuki Hibi
J. Algebr. Stat.   8 56-73   2017   [Refereed]


Study of three-dimensional algebras with straightening laws which are Gorenstein domains Ⅱ(共著)
Hiroshima Math. J.   15 321-340   1985
The world of the ``q-analogue''
SUGAKU   41, 269 -- 274/,    1989
Ehrhart polynomials of convex polytopes, h-vectors of simplicial complexes and non-singular projective toric varieties
“Polytopes and Convex Sets”(J. E. Goodman, et al., Eds.), DIMACS Series in Discrete Mathematics and Theoretical Cmputer Science,   6,165-177/,    1992
Combinatorics on simplicial complexes and convex polytopes
Sugaku Expositions   13,1-5/,    2000

Books etc

Algebraic and Geometric Combinatorics on Lattice Polytopes
Takayuki Hibi, Akiyoshi Tsuchiya, Editors
Binomial Ideals
Jürgen Herzog, Takayuki Hibi, Hidefumi Ohsugi
GTM 279, Springer   2018   
The 50th Anniversary of Gröbner Bases
Takayuki Hibi, Editor
ASPM Vol. 77, Mathematical Society of Japan   2018   
Gröbner Bases : Statistics and Software Systems
Takayuki Hibi, Editor
Springer   2014   
Harmony of Göbner Bases and the Modern Industrial Society
Takayuki Hibi, Editor
World Scientific   2012   
Monomial Ideals
Jürgen Herzog, Takayuki Hibi
GTM 260, Springer   2011   
Affine Algebraic Geometry
Takayuki Hibi, Editor
Osaka University Press   2007   
Computational Commutative Algebra and Combinatorics
Takayuki Hibi, Editor
ASPM Vol. 33, Mathematical Society of Japan   2002   
Algebraic Combinatorics on Convex Polytopes
Takayuki Hibi
Carslaw Publications, Glebe, N.S.W., Australia   1992   

Conference Activities & Talks

Extremal Betti numbers of edge ideals [Invited]
Takayuki Hibi
Commutative Algebra and Representation Theory, Tulane University, USA   10 Nov 2018   
The depth of a reflexive polytope [Invited]
Takayuki Hibi
Combinatorial Structures in Algebra and Geometry, Constanța, Romania   29 Aug 2018   
Regularity and h-polynomials of monomial ideals [Invited]
Takayuki Hibi
New Trends in Syzygies, BIRS, Banff, Canada   28 Jun 2018   
Binomial ideals arising from combinatorics [Invited]
Takayuki Hibi
40th Autumn School in Algebraic Geometry, Łukęcin, Poland   Sep 2017   
A Gröbner basis characterization for chordal comparability graphs [Invited]
Takayuki Hibi
Homological and Computational Methods in Commutative Algebra, Cortona, Italy   3 Jun 2016   
Gorenstein Fano polytopes and quadratic Gröbner bases [Invited]
Takayuki Hibi
Combinatorial and Experimental Methods in Commutative Algebra and Related Fields, Osnabrück, Germany   8 Oct 2015   
Regularity of edge ideals and dominating induced matchings [Invited]
Takayuki Hibi
Minimal Free Resolutions, Betti Numbers and Combinatorics, International Centre for Mathematical Sciences, Scotland   4 Jun 2015   
Stanley's influence on monomial ideals [Invited]
Takayuki Hibi
A conference in honor of Richard P. Stanley’s 70th birthday, MIT, USA   25 Jun 2014   
Cameron--Walker graphs [Invited]
Takayuki Hibi
International conference on Commutative Algebra and its Interaction to Algebraic Geometry and Combinatorics, Hanoi, Vietnam   16 Dec 2013   
An introduction to holonomic gradient descent [Invited]
Takayuki Hibi
Algebraic Statistics in the Alleghenies, Pennsylvania State University, USA   14 Jun 2012   
Roots of Ehrhart polynomials of Gorenstein Fano polytopes [Invited]
Takayuki Hibi
Commutative Algebra and its Interactions with Algebraic Geometry, CIRM, France   5 Nov 2010   
Combinatorial techniques in commutative algebra [Invited]
Takayuki Hibi
Summer School on Computer Algebra and Syzygies, Sophus Lie Conference Center, Norway   Jun 2009   
Alexander Duality in Combinatorics [Invited]
Takayuki Hibi
Formal Power Series and Algebraic Combinatorics, Vancouver, Canada   2 Jul 2004   

Research Grants & Projects

Combinatorics on Simplicial Complexes and Convex Polytopes
Groebner Bases and Koszul Algebras
Nonregular Unimodular Triangulations of Convex Polytopes