Takayuki Hibi

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Person:249579

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List of research outcomes

PublicationDate of PublicationType
The normalized depth function of squarefree powers2024-04-16Paper
The divisor class group of a discrete polymatroid2024-04-09Paper
Finite distributive lattices, polyominoes and ideals of König type2024-01-10Paper
Toric rings arising from vertex cover ideals2023-10-30Paper
Diameter and connectivity of finite simple graphs2023-10-17Paper
The reduced divisor class group and the torsion number2023-09-15Paper
Ideals with componentwise linear powers2023-09-04Paper
Componentwise linear powers and the $x$-condition2023-06-21Paper
Behaviour of the normalized depth function2023-06-15Paper
The regularity and h-polynomial of Cameron-Walker graphs2023-06-09Paper
https://portal.mardi4nfdi.de/entity/Q58835072023-03-21Paper
Toric codes from order polytopes2023-03-09Paper
Reflexive polytopes and discrete polymatroids2023-02-24Paper
The minimal volume of a lattice polytope2023-01-22Paper
The number of $4$-cycles and the cyclomatic number of a finite simple graph2023-01-10Paper
Stable set rings which are Gorenstein on the punctured spectrum2023-01-10Paper
The NF-Number of a Simplicial Complex2022-12-08Paper
RINGS OF TETER TYPE2022-11-15Paper
The size of Betti tables of edge ideals arising from bipartite graphs2022-10-12Paper
Gröbner bases of toric ideals associated with matroids2022-10-07Paper
Developments in commutative algebra: in honor of Jürgen Herzog on the occasion of his 80th birthday2022-07-22Paper
The height of binomial ideals and toric $K$-algebras with isolated singularity2022-05-13Paper
Regularity and \(h\)-polynomials of binomial edge ideals2022-04-14Paper
Matchings and squarefree powers of edge ideals2022-02-24Paper
On the regularity of join-meet ideals of modular lattices2022-02-09Paper
Graded ideals of König type2022-01-07Paper
Rings of Teter type2021-12-08Paper
Canonical trace ideal and residue for numerical semigroup rings2021-09-14Paper
Gorenstein graphic matroids2021-08-24Paper
Stable set rings which are Gorenstein on the punctured spectrum2021-08-22Paper
Homological invariants of Cameron–Walker Graphs2021-08-20Paper
Nearly Gorenstein rings arising from finite graphs2021-08-09Paper
Regularity and \(a\)-invariant of Cameron-Walker graphs2021-06-25Paper
Squarefree powers of edge ideals of forests2021-06-07Paper
\textsc{MAX MIN} vertex cover and the size of Betti tables2021-03-29Paper
Toric Codes from Order Polytopes2021-02-06Paper
Integer decomposition property for Cayley sums of order and stable set polytopes2021-02-04Paper
Depth of an initial ideal2021-02-02Paper
PICK'S FORMULA AND GENERALIZED EHRHART QUASI-POLYNOMIALS2020-12-13Paper
Matching numbers and the regularity of the Rees algebra of an edge ideal2020-11-07Paper
An upper bound for the regularity of powers of edge ideals2020-07-22Paper
Classification of lattice polytopes with small volumes2020-06-11Paper
Odd cycles and Hilbert functions of their toric rings2019-12-03Paper
The regularity of edge rings and matching numbers2019-11-22Paper
Gorenstein simplices with a given \(\delta\)-polynomial2019-10-17Paper
The trace of the canonical module2019-10-08Paper
Markov-chain Monte Carlo methods for the Box-Behnken designs and centrally symmetric configurations2019-08-30Paper
The depth of a reflexive polytope2019-08-07Paper
Order-chain polytopes2019-07-25Paper
Edge rings with 3-linear resolutions2019-07-17Paper
Extremal Betti numbers of edge ideals2019-07-10Paper
Lexsegment ideals and their \(h\)-polynomials2019-06-28Paper
Induced matching numbers of finite graphs and edge ideals2019-06-26Paper
Gorenstein properties and integer decomposition properties of lecture hall polytopes2019-06-26Paper
The relevance of Freiman's theorem for combinatorial commutative algebra2019-05-08Paper
Reflexive polytopes arising from partially ordered sets and perfect graphs2019-05-08Paper
Ehrhart polynomials with negative coefficients2019-03-21Paper
ISOTONIAN ALGEBRAS2019-03-12Paper
Regularity and \(h\)-polynomials of edge ideals2019-03-05Paper
The Smallest Normal Edge Polytopes with No Regular Unimodular Triangulations2019-02-26Paper
Laplacian simplices associated to digraphs2019-02-13Paper
Regularity and h‐polynomials of monomial ideals2019-01-03Paper
Ehrhart series of fractional stable set polytopes of finite graphs2018-10-05Paper
Levelness of toric rings arising from order and chain polytopes2018-09-22Paper
Binomial Ideals2018-08-28Paper
Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes2018-08-14Paper
Reflexive polytopes arising from perfect graphs2018-04-27Paper
Existence of regular unimodular triangulations of dilated empty simplices2018-04-25Paper
Self dual reflexive simplices with Eulerian polynomials2018-02-14Paper
Markov bases for two-way change-point models of ladder determinantal tables2018-02-05Paper
Facets and volume of Gorenstein Fano polytopes2017-12-15Paper
Quadratic Gröbner bases arising from partially ordered sets2017-10-23Paper
Classification of lattice polytopes with small volumes2017-08-01Paper
https://portal.mardi4nfdi.de/entity/Q29882532017-05-18Paper
Bounding the socles of powers of squarefree monomial ideals2017-04-11Paper
Flat \({\delta}\)-vectors and their Ehrhart polynomials2017-03-16Paper
The numbers of edges of the order polytope and the chain polytope of a finite partially ordered set2017-02-27Paper
Facets of the \(r\)-stable \((n,k)\)-hypersimplex2017-01-26Paper
Pfaffian systems of \(A\)-hypergeometric equations. I: Bases of twisted cohomology groups.2016-12-19Paper
Integer decomposition property of free sums of convex polytopes2016-10-27Paper
The number of edges of the edge polytope of a finite simple graph2016-10-21Paper
A Gröbner basis characterization for chordal comparability graphs2016-10-12Paper
Nonsimple polyominoes and prime ideals2016-05-11Paper
Unimodular Equivalence of Order and Chain Polytopes2016-03-22Paper
Strongly Koszul edge rings2016-03-09Paper
Dominating induced matchings of finite graphs and regularity of edge ideals2016-03-01Paper
Quadratic Gröbner bases of twinned order polytopes2016-02-29Paper
Non-very ample configurations arising from contingency tables2016-02-19Paper
Depth stability of edge ideals2016-02-18Paper
Markov basis and Gröbner basis of Segre-Veronese configuration for testing independence in group-wise selections2016-01-15Paper
Koszul Binomial Edge Ideals2015-12-03Paper
Chain polytopes and algebras with straightening laws2015-10-20Paper
Linear flags and Koszul filtrations2015-10-05Paper
Centrally symmetric configurations of order polytopes2015-09-25Paper
The face vector of a half-open hypersimplex2015-08-18Paper
Gorenstein Fano polytopes arising from order polytopes and chain polytopes2015-07-12Paper
Linearly related polyominoes2015-07-10Paper
Ehrhart polynomials with negative coefficients2015-06-01Paper
Pseudo-Gorenstein and level Hibi rings2015-05-18Paper
Polarization of Koszul cycles with applications to powers of edge ideals of whisker graphs2015-04-22Paper
Simplicial complexes of Whisker type2015-04-22Paper
Centrally Symmetric Configurations of Integer Matrices2015-04-17Paper
Toric Rings Arising from Cyclic Polytopes2015-04-02Paper
A Quick Introduction to Gröbner Bases2015-03-03Paper
Monomial ideals whose depth function has any given number of strict local maxima2015-02-06Paper
Algebraic study on Cameron-Walker graphs2014-11-17Paper
The face ideal of a simplicial complex2014-11-13Paper
Integer decomposition property of dilated polytopes2014-11-13Paper
Many toric ideals generated by quadratic binomials possess no quadratic Gröbner bases2014-08-28Paper
Toric Ideals of Finite Graphs and Adjacent 2-Minors2014-07-10Paper
Edge rings satisfying Serre’s condition $(R_{1})$2014-06-04Paper
Depth of Initial Ideals of Normal Edge Rings2014-05-23Paper
The binomial edge ideal of a pair of graphs2014-04-11Paper
NORMAL CYCLIC POLYTOPES AND CYCLIC POLYTOPES THAT ARE NOT VERY AMPLE2014-04-11Paper
Cutting convex polytopes by hyperplanes2014-02-16Paper
Markov chain Monte Carlo methods for the regular two-level fractional factorial designs and cut ideals2014-01-27Paper
A Koszul filtration for the second squarefree Veronese subring2013-12-11Paper
The join-meet ideal of a finite lattice2013-08-14Paper
Toric ideals and their circuits2013-08-14Paper
Determinantal facet ideals2013-06-06Paper
Ideals generated by adjacent 2-minors2013-04-22Paper
Finite lattices and Gröbner bases2012-12-14Paper
Powers of Componentwise Linear Ideals2012-09-20Paper
Hermite normal forms and \(\delta \)-vectors2012-06-04Paper
Toric rings and ideals of nested configurations2012-05-04Paper
Cohen-Macaulay binomial edge ideals2012-02-11Paper
Depth of edge rings arising from finite graphs2011-12-07Paper
Roots of Ehrhart polynomials arising from graphs2011-11-07Paper
Roots of Ehrhart polynomials of Gorenstein Fano polytopes2011-10-17Paper
Smooth Fano polytopes arising from finite partially ordered sets2011-03-31Paper
Ehrhart polynomials of convex polytopes with small volumes2011-01-07Paper
Monomial Ideals2010-09-24Paper
Binomial edge ideals and conditional independence statements2010-09-01Paper
Unmixed bipartite graphs and sublattices of the Boolean lattices2010-05-05Paper
Betti numbers of chordal graphs and \(f\)-vectors of simplicial complexes2010-03-29Paper
Gröbner basis techniques in algebraic combinatorics2010-01-19Paper
Two way subtable sum problems and quadratic Gröbner bases2009-05-05Paper
Algebraic shifting and graded Betti numbers2009-04-17Paper
Vertex cover algebras of unimodular hypergraphs2009-02-25Paper
Simple polytopes arising from finite graphs2009-02-10Paper
Standard graded vertex cover algebras, cycles and leaves2008-11-27Paper
Gröbner bases of nested configurations2008-11-12Paper
Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs2008-10-21Paper
Gotzmann ideals of the polynomial ring2008-09-15Paper
Componentwise linear ideals with minimal or maximal Betti numbers2008-09-03Paper
Linear balls and the multiplicity conjecture2008-07-29Paper
Non-very ample configurations arising from contingency tables2008-07-11Paper
The depth of an ideal with a given Hilbert function2008-03-10Paper
Gin and lex of certain monomial ideals2008-02-22Paper
Maximal Betti numbers of Cohen-Macaulay complexes with a given \(f\)-vector2007-07-19Paper
Symbolic powers of monomial ideals and vertex cover algebras2007-03-09Paper
Weakly Polymatroidal Ideals2007-02-08Paper
Cohen--Macaulay chordal graphs2006-08-04Paper
Level Rings Arising from Meet-Distributive Meet-Semilattices2006-07-05Paper
The monomial ideal of a finite meet-semilattice2006-05-29Paper
Special simplices and Gorenstein toric rings.2006-05-18Paper
Cohen-Macaulay polymatroidal ideals2006-04-28Paper
Ideals of fiber type and polymatroids2006-03-29Paper
Distributive lattices, bipartite graphs and Alexander duality2005-12-05Paper
The depth of powers of an ideal2005-11-14Paper
INDISPENSABLE BINOMIALS OF FINITE GRAPHS2005-11-08Paper
The \(h\)-vector of a Gorenstein toric ring of a compressed polytope2005-10-31Paper
Combinatorial shifting and graded Betti numbers2005-09-09Paper
Prestable ideals and Sagbi bases2005-05-03Paper
Monomial ideals whose powers have a linear resolution2005-02-28Paper
Castelnuovo-Mumford regularity and initial ideals with no embedded prime ideals2005-02-21Paper
Rigid resolutions and big Betti numbers2004-11-05Paper
Dirac's theorem on chordal graphs and Alexander duality2004-10-13Paper
Gröbner bases of certain zero-dimensional ideals arising in coding theory2003-12-03Paper
Shellability of semigroup rings2003-10-22Paper
Normalized volumes of configurations related with root systems and complete bipartite graphs.2003-07-29Paper
Castelnuovo–Mumford regularity of simplicial semigroup rings with isolated singularity2003-05-14Paper
Discrete polymatroids2003-03-11Paper
Resolutions of \textbf{a}-stable ideals.2003-02-12Paper
https://portal.mardi4nfdi.de/entity/Q44406422003-01-01Paper
https://portal.mardi4nfdi.de/entity/Q43880322002-11-01Paper
Hamiltonian tournaments and Gorenstein rings2002-09-12Paper
Unimodular triangulations and coverings of configurations arising from root systems2002-08-20Paper
Quadratic initial ideals of root systems2002-04-08Paper
Shifting operations and graded Betti numbers2002-03-10Paper
https://portal.mardi4nfdi.de/entity/Q27425922001-09-23Paper
https://portal.mardi4nfdi.de/entity/Q27426292001-09-23Paper
https://portal.mardi4nfdi.de/entity/Q27426402001-09-23Paper
Ideals with stable Betti numbers2001-09-19Paper
Convex polytopes all of whose reverse lexicographic initial ideals are squarefree2001-06-06Paper
https://portal.mardi4nfdi.de/entity/Q27171822001-01-01Paper
Compressed polytopes, initial ideals and complete multipartite graphs2000-09-11Paper
Finite lattices and lexicographic Gröbner bases2000-08-28Paper
A \(q\)-analogue of Capelli's identity for \(\text{GL}(2)\)2000-06-05Paper
https://portal.mardi4nfdi.de/entity/Q49379022000-02-20Paper
https://portal.mardi4nfdi.de/entity/Q49351672000-01-30Paper
Combinatorial pure subrings.2000-01-01Paper
Strongly Koszul algebras2000-01-01Paper
Toric ideals generalized by quadratic binomials1999-12-20Paper
A normal \((0,1)\)-polytope none of whose regular triangulations is unimodular1999-12-14Paper
The comparability graph of a modular lattice1999-10-31Paper
Steinitz' theorem analogue for two-dimensional Cohen-Macaulay complexes1999-10-10Paper
Componentwise linear ideals1999-10-04Paper
Cohen-Macaulay partially ordered sets with pure resolutions1999-07-16Paper
Koszul bipartite graphs1999-04-11Paper
Normal polytopes arising from finite graphs1998-12-02Paper
Squarefree lexsegment ideals1998-11-08Paper
Weakly stable ideals1998-04-19Paper
Gorenstein algebras of Veronese type1998-03-22Paper
https://portal.mardi4nfdi.de/entity/Q43480431998-01-11Paper
https://portal.mardi4nfdi.de/entity/Q43479631997-10-09Paper
Computation of Betti numbers of monomial ideals associated with stacked polytopes1997-09-04Paper
Gotzmann theorems for exterior algebras and combinatorics1997-07-07Paper
Finite free resolutions and 1-skeletons of simplicial complexes1997-06-02Paper
Alexander duality theorem and second Betti numbers of Stanley-Reisner rings1997-06-01Paper
Some results on Betti numbers of Stanley-Reisner rings1997-05-25Paper
Upper bounds for the number of facets of a simplicial complex1997-05-13Paper
https://portal.mardi4nfdi.de/entity/Q48957571996-10-15Paper
Buchsbaum complexes with linear resolutions1996-02-01Paper
Computation of Betti numbers of monomial ideals associated with cyclic polytopes1996-01-01Paper
Star-Shaped Complexes and Ehrhart Polynomials1995-04-10Paper
Stanley-reisner rings with pure resolutions1995-04-09Paper
Canonical modules and Cohen-Macaulay types of partially ordered sets1995-04-03Paper
A lower bound theorem for Ehrhart polynomials of convex polytopes1995-02-19Paper
Cohen-Macaulay types of Cohen-Macaulay complexes1994-09-28Paper
Cohen-Macaulay type of the face poset of a plane graph1994-09-26Paper
https://portal.mardi4nfdi.de/entity/Q52889671993-08-15Paper
https://portal.mardi4nfdi.de/entity/Q52861941993-06-29Paper
Face number inequalities for matroid complexes and Cohen-Macaulay types of Stanley-Reisner rings of distributive lattices1993-04-01Paper
Dual polytopes of rational convex polytopes1993-01-16Paper
Divisor class groups of affine semigroup rings associated with distributive lattices1992-09-27Paper
https://portal.mardi4nfdi.de/entity/Q40113141992-09-27Paper
Linear and nonlinear inequalities concerning a certain combinatorial sequence which arises from counting the number of chains of a finite distributive lattice1992-06-28Paper
Quotient algebras of Stanley-Reisner rings and local cohomology1992-06-25Paper
Hilbert functions of Cohen-Macaulay integral domains and chain conditions of finite partially ordered sets1992-06-25Paper
https://portal.mardi4nfdi.de/entity/Q33641081992-01-01Paper
A numerical characterization of Gorenstein complexes1990-01-01Paper
Some results on Ehrhart polynomials of convex polytopes1990-01-01Paper
Betti numbers of Buchsbaum complexes.1990-01-01Paper
A recurrence for linear extensions1989-01-01Paper
Flawless O-sequences and Hilbert functions of Cohen-Macaulay integral domains1989-01-01Paper
Plane graphs and Cohen-Macaulay posets1989-01-01Paper
What can be said about pure O-sequences?1989-01-01Paper
https://portal.mardi4nfdi.de/entity/Q32044631989-01-01Paper
Level rings and algebras with straightening laws1988-01-01Paper
Study of three-dimensional algebras with straightening laws which are Gorenstein domains. III1988-01-01Paper
A graph-theoretical characterization of the order complexes on the 2- sphere1988-01-01Paper
Linear extensions and order polynomials of finite partially ordered sets1988-01-01Paper
Canonical ideals of Cohen-Macaulay partially ordered sets1988-01-01Paper
Classification of integral trees1987-01-01Paper
For Which Finite Groups G is the Lattice ℒ(G) of Subgroups Gorenstein?1987-01-01Paper
Union and glueing of a family of Cohen-Macaulay partially ordered sets1987-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38001691987-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37555541986-01-01Paper
Study of three-dimensional algebras with straightening laws which are Gorenstein domains. I1985-01-01Paper
Study of three-dimensional algebras with straightening laws which are Gorenstein domains. II1985-01-01Paper
https://portal.mardi4nfdi.de/entity/Q33123451983-01-01Paper

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