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Hibi, Takayuki

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Author ID: hibi.takayuki Recent zbMATH articles by "Hibi, Takayuki"
Published as: Hibi, T.; Hibi, Takayuki
Documents Indexed: 224 Publications since 1983, including 14 Books
all top 5

Co-Authors

49 single-authored
52 Herzog, Jürgen
50 Ohsugi, Hidefumi
20 Tsuchiya, Akiyoshi
16 Higashitani, Akihiro
10 Matsuda, Kazunori
8 Ene, Viviana
8 Murai, Satoshi
7 Aramova, Annetta G.
7 Li, Nan
7 Terai, Naoki
6 Kimura, Kyouko
6 Zheng, Xinxian
5 Aoki, Satoshi
5 Ngô Viêt Trung
5 Shikama, Akihiro
4 Qureshi, Ayesha Asloob
3 Katthän, Lukas
3 O’Keefe, Augustine B.
3 Watanabe, Kei-ichi
3 Yoshida, Koutarou
2 Bigdeli, Mina
2 Bruns, Winfried
2 Haase, Christian Alexander
2 Hamano, Ginji
2 Kitamura, Tomonori
2 Nagazawa, Yuuki
2 Nishiyama, Kenta
2 Okazaki, Ryota
2 Olsen, McCabe
2 Takayama, Yukihide
2 Takemura, Akimichi
1 Balletti, Gabriele
1 Bandari, Somayeh
1 Björner, Anders
1 Conca, Aldo
1 Cox, David A.
1 Cutkosky, Steven Dale
1 De Negri, Emanuela
1 Edelman, Paul H.
1 Eisenbud, David
1 Gasharov, Vesselin N.
1 Goto, Shiro
1 Hà, Huy Tài
1 Hashimoto, Mitsuyasu
1 Hayashi, Takuji
1 Hirayama, Koichi
1 Hreinsdóttir, Freyja
1 Ikegami, Daisuke
1 Jochemko, Katharina Victoria
1 Kahle, Thomas
1 Kanno, Hiroju
1 Kawano, Yoshio
1 Kokubo, Masako
1 Li, Teresa Xueshan
1 Macchia, Antonio
1 Maclagan, Diane
1 Madani, Sara Saeedi
1 Matsui, Tetsushi
1 Meyer, Marie E.
1 Mohammadi, Fatemeh
1 Mori, Aki
1 Mu, Lili
1 Nakamura, Miyuki
1 Narushima, Hiroshi
1 Nill, Benjamin
1 Nishida, Hiroyuki
1 Noma, Atsushi
1 Ohtsuka, Tatsuya
1 Peeva, Irena V.
1 Rauh, Johannes
1 Restuccia, Gaetana
1 Sahara, Yoshimi
1 Sally, Judith D.
1 Samudro, Ivana Natalia Kristantyo
1 Sato, Kei
1 Shibata, Kazuki
1 Singla, Pooja
1 Solus, Liam T.
1 Stamate, Dumitru Ioan
1 Stanley, Richard Peter
1 Takayama, Nobuki
1 Tsuchiya, Morimasa
1 Van Tuyl, Adam
1 Vladoiu, Marius
1 Wakayama, Masato
1 Weibel, Charles A.
1 Zhang, Yanxia
1 Zhu, Guangjun
all top 5

Serials

19 Journal of Algebra
13 Proceedings of the American Mathematical Society
11 European Journal of Combinatorics
10 Nagoya Mathematical Journal
10 Journal of Algebraic Combinatorics
9 Mathematica Scandinavica
8 RIMS Kokyuroku
7 Advances in Mathematics
6 Discrete Mathematics
6 Journal of Combinatorial Theory. Series A
5 Acta Mathematica Vietnamica
5 Annals of Combinatorics
5 Journal of Commutative Algebra
4 Archiv der Mathematik
4 Advances in Applied Mathematics
4 The Electronic Journal of Combinatorics
3 Communications in Algebra
3 Arkiv för Matematik
3 Hiroshima Mathematical Journal
3 Journal of Pure and Applied Algebra
3 Mathematische Nachrichten
3 Mathematische Zeitschrift
3 Osaka Journal of Mathematics
3 Transactions of the American Mathematical Society
3 Combinatorica
3 Graphs and Combinatorics
3 Discrete & Computational Geometry
2 Annals of the Institute of Statistical Mathematics
2 Illinois Journal of Mathematics
2 Michigan Mathematical Journal
2 Order
2 Sūgaku
2 Oberwolfach Reports
2 Advanced Studies in Pure Mathematics
2 Graduate Texts in Mathematics
2 Ars Mathematica Contemporanea
1 Discrete Applied Mathematics
1 Israel Journal of Mathematics
1 Commentarii Mathematici Helvetici
1 Journal of Statistical Planning and Inference
1 Manuscripta Mathematica
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Rendiconti del Seminario Matematico
1 Sugaku Expositions
1 Algebra Colloquium
1 Séminaire Lotharingien de Combinatoire
1 Journal of Integer Sequences
1 Journal of the Australian Mathematical Society
1 Moscow Mathematical Journal
1 Journal of Algebra and its Applications
1 Journal of the Indonesian Mathematical Society
1 International Journal of Algebra
1 Journal of Statistical Theory and Practice
1 Journal of Algebraic Statistics
1 Kyoto Journal of Mathematics
1 Journal of Combinatorics

Publications by Year

Citations contained in zbMATH

169 Publications have been cited 2,293 times in 1,115 Documents Cited by Year
Monomial ideals. Zbl 1206.13001
Herzog, Jürgen; Hibi, Takayuki
252
2011
Algebraic combinatorics on convex polytopes. Zbl 0772.52008
Hibi, Takayuki
96
1992
Componentwise linear ideals. Zbl 0930.13018
Herzog, Jürgen; Hibi, Takayuki
80
1999
Toric ideals generalized by quadratic binomials. Zbl 0943.13014
Ohsugi, Hidefumi; Hibi, Takayuki
69
1999
Binomial edge ideals and conditional independence statements. Zbl 1196.13018
Herzog, Jürgen; Hibi, Takayuki; Hreinsdóttir, Freyja; Kahle, Thomas; Rauh, Johannes
67
2010
Distributive lattices, bipartite graphs and Alexander duality. Zbl 1090.13017
Herzog, Jürgen; Hibi, Takayuki
67
2005
Distributive lattices, affine semigroup rings and algebras with straightening laws. Zbl 0654.13015
Hibi, Takayuki
67
1987
The depth of powers of an ideal. Zbl 1096.13015
Herzog, Jürgen; Hibi, Takayuki
65
2005
Squarefree lexsegment ideals. Zbl 0914.13007
Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki
53
1998
Symbolic powers of monomial ideals and vertex cover algebras. Zbl 1112.13006
Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt
50
2007
Monomial ideals whose powers have a linear resolution. Zbl 1091.13013
Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian
48
2004
Normal polytopes arising from finite graphs. Zbl 0926.52017
Ohsugi, Hidefumi; Hibi, Takayuki
48
1998
Gotzmann theorems for exterior algebras and combinatorics. Zbl 0897.13030
Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki
45
1997
Discrete polymatroids. Zbl 1012.05046
Herzog, Jürgen; Hibi, Takayuki
44
2002
Dirac’s theorem on chordal graphs and Alexander duality. Zbl 1062.05075
Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian
42
2004
Dual polytopes of rational convex polytopes. Zbl 0758.52009
Hibi, Takayuki
40
1992
Cohen-Macaulay binomial edge ideals. Zbl 1236.13011
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki
37
2011
Combinatorial pure subrings. Zbl 1096.13525
Ohsugi, Hidefumi; Herzog, Jürgen; Hibi, Takayuki
34
2000
Ideals with stable Betti numbers. Zbl 0968.13008
Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki
33
2000
A lower bound theorem for Ehrhart polynomials of convex polytopes. Zbl 0807.52011
Hibi, Takayuki
33
1994
Shifting operations and graded Betti numbers. Zbl 0980.13013
Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki
31
2000
Cohen–Macaulay chordal graphs. Zbl 1172.13307
Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian
30
2006
Standard graded vertex cover algebras, cycles and leaves. Zbl 1155.13003
Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt; Zheng, Xinxian
26
2008
Indispensable binomials of finite graphs. Zbl 1093.13020
Ohsugi, Hidefumi; Hibi, Takayuki
26
2005
Strongly Koszul algebras. Zbl 1061.13008
Herzog, Jürgen; Hibi, Takayuki; Restuccia, Gaetana
26
2000
Koszul bipartite graphs. Zbl 0916.05046
Ohsugi, Hidefumi; Hibi, Takayuki
26
1999
Gorenstein algebras of Veronese type. Zbl 0884.13012
De Negri, Emanuela; Hibi, Takayuki
25
1997
Rigid resolutions and big Betti numbers. Zbl 1080.13008
Conca, Aldo; Herzog, Jürgen; Hibi, Takayuki
24
2004
What can be said about pure O-sequences? Zbl 0667.05004
Hibi, Takayuki
24
1989
Resolutions of a-stable ideals. Zbl 1089.13508
Gasharov, Vesselin; Hibi, Takayuki; Peeva, Irena
22
2002
Convex polytopes all of whose reverse lexicographic initial ideals are squarefree. Zbl 0984.13014
Ohsugi, Hidefumi; Hibi, Takayuki
19
2001
Gröbner bases. Statistics and software systems. Transl. from the Japanese. Zbl 1282.13003
Hibi, Takayuki (ed.)
18
2013
Cohen-Macaulay polymatroidal ideals. Zbl 1095.13008
Herzog, Jürgen; Hibi, Takayuki
18
2006
Compressed polytopes, initial ideals and complete multipartite graphs. Zbl 0943.13016
Ohsugi, Hidefumi; Hibi, Takayuki
17
2000
Level rings and algebras with straightening laws. Zbl 0652.13010
Hibi, Takayuki
17
1988
Binomial ideals. Zbl 1403.13004
Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi
15
2018
Monomial ideals whose depth function has any given number of strict local maxima. Zbl 1314.13022
Bandari, Somayeh; Herzog, Jürgen; Hibi, Takayuki
14
2014
Special simplices and Gorenstein toric rings. Zbl 1095.13023
Ohsugi, Hidefumi; Hibi, Takayuki
14
2006
Ideals of fiber type and polymatroids. Zbl 1092.05012
Herzog, Jürgen; Hibi, Takayuki; Vladoiu, Marius
14
2005
Face number inequalities for matroid complexes and Cohen-Macaulay types of Stanley-Reisner rings of distributive lattices. Zbl 0784.05020
Hibi, Takayuki
14
1992
Algebraic study on Cameron-Walker graphs. Zbl 1303.05218
Hibi, Takayuki; Higashitani, Akihiro; Kimura, Kyouko; O’Keefe, Augustine B.
13
2015
Toric ideals arising form contingency tables. Zbl 1187.13024
Ohsugi, Hidefumi; Hibi, Takayuki
13
2007
Computation of Betti numbers of monomial ideals associated with stacked polytopes. Zbl 0882.13018
Terai, Naoki; Hibi, Takayuki
13
1997
Stanley-Reisner rings with pure resolutions. Zbl 0823.13015
Bruns, Winfried; Hibi, Takayuki
13
1995
Finite lattices and lexicographic Gröbner bases. Zbl 0969.13010
Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki
12
2000
Computation of Betti numbers of monomial ideals associated with cyclic polytopes. Zbl 0860.55018
Terai, N.; Hibi, T.
12
1996
Ehrhardt polynomials of convex polytopes, \(h\)-vectors of simplicial complexes, and nonsingular projective toric varieties. Zbl 0755.05098
Hibi, Takayuki
12
1991
Quotient algebras of Stanley-Reisner rings and local cohomology. Zbl 0761.55015
Hibi, Takayuki
12
1991
Centrally symmetric configurations of integer matrices. Zbl 1353.13034
Ohsugi, Hidefumi; Hibi, Takayuki
11
2014
Roots of Ehrhart polynomials arising from graphs. Zbl 1229.05122
Matsui, Tetsushi; Higashitani, Akihiro; Nagazawa, Yuuki; Ohsugi, Hidefumi; Hibi, Takayuki
11
2011
Weakly polymatroidal ideals. Zbl 1104.13013
Kokubo, Masako; Hibi, Takayuki
11
2006
Quadratic initial ideals of root systems. Zbl 1012.13012
Ohsugi, Hidefumi; Hibi, Takayuki
10
2002
Flawless O-sequences and Hilbert functions of Cohen-Macaulay integral domains. Zbl 0728.13005
Hibi, Takayuki
10
1989
Facets and volume of Gorenstein Fano polytopes. Zbl 1407.13026
Hibi, Takayuki; Tsuchiya, Akiyoshi
9
2017
Unimodular equivalence of order and chain polytopes. Zbl 1335.52026
Hibi, Takayuki; Li, Nan
9
2016
Chain polytopes and algebras with straightening laws. Zbl 1327.52021
Hibi, Takayuki; Li, Nan
9
2015
Algebraic shifting and graded Betti numbers. Zbl 1163.13006
Murai, Satoshi; Hibi, Takayuki
9
2009
Some results on Ehrhart polynomials of convex polytopes. Zbl 0708.52005
Hibi, Takayuki
9
1990
A recurrence for linear extensions. Zbl 0692.06001
Edelman, Paul; Hibi, Takayuki; Stanley, Richard P.
9
1989
Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes. Zbl 1420.13063
Ohsugi, Hidefumi; Hibi, Takayuki
8
2018
Dominating induced matchings of finite graphs and regularity of edge ideals. Zbl 1331.05239
Hibi, Takayuki; Higashitani, Akihiro; Kimura, Kyouko; Tsuchiya, Akiyoshi
8
2016
Centrally symmetric configurations of order polytopes. Zbl 1396.13017
Hibi, Takayuki; Matsuda, Kazunori; Ohsugi, Hidefumi; Shibata, Kazuki
8
2015
Integer decomposition property of dilated polytopes. Zbl 1308.52012
Cox, David A.; Haase, Christian; Hibi, Takayuki; Higashitani, Akihiro
8
2014
Depth of edge rings arising from finite graphs. Zbl 1230.13024
Hibi, Takayuki; Higashitani, Akihiro; Kimura, Kyouko; O’Keefe, Augustine B.
8
2011
Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs. Zbl 1175.05136
Herzog, Jürgen; Hibi, Takayuki; Murai, Satoshi; Trung, Ngô Viêt; Zheng, Xinxian
8
2008
The depth of an ideal with a given Hilbert function. Zbl 1148.13006
Murai, Satoshi; Hibi, Takayuki
8
2008
Castelnuovo-Mumford regularity of simplicial semigroup rings with isolated singularity. Zbl 1093.13508
Herzog, Jürgen; Hibi, Takayuki
8
2003
A normal \((0,1)\)-polytope none of whose regular triangulation is unimodular. Zbl 0927.52018
Ohsugi, H.; Hibi, T.
8
1999
Buchsbaum complexes with linear resolutions. Zbl 0839.55012
Hibi, Takayuki
8
1996
Canonical ideals of Cohen-Macaulay partially ordered sets. Zbl 0627.13001
Hibi, Takayuki
8
1988
Reflexive polytopes arising from perfect graphs. Zbl 1385.05036
Hibi, Takayuki; Tsuchiya, Akiyoshi
7
2018
Quadratic Gröbner bases of twinned order polytopes. Zbl 1356.52005
Hibi, Takayuki; Matsuda, Kazunori
7
2016
Bounding the socles of powers of squarefree monomial ideals. Zbl 1359.13021
Herzog, Jürgen; Hibi, Takayuki
7
2015
Many toric ideals generated by quadratic binomials possess no quadratic Gröbner bases. Zbl 1304.13040
Hibi, Takayuki; Nishiyama, Kenta; Ohsugi, Hidefumi; Shikama, Akihiro
7
2014
Gotzmann ideals of the polynomial ring. Zbl 1155.13013
Murai, Satoshi; Hibi, Takayuki
7
2008
Finite free resolutions and 1-skeletons of simplicial complexes. Zbl 0871.55015
Terai, Naoki; Hibi, Takayuki
7
1997
Study of three-dimensional algebras with straightening laws which are Gorenstein domains. I. Zbl 0633.13003
Hibi, Takayuki; Watanabe, Keiichi
7
1985
Quadratic Gröbner bases arising from partially ordered sets. Zbl 1386.13072
Hibi, Takayuki; Matsuda, Kazunori; Tsuchiya, Akiyoshi
6
2017
Linearly related polyominoes. Zbl 1327.13038
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki
6
2015
The binomial edge ideal of a pair of graphs. Zbl 1298.13020
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki; Qureshi, Ayesha Asloob
6
2014
Gröbner bases of nested configurations. Zbl 1152.14047
Aoki, Satoshi; Hibi, Takayuki; Ohsugi, Hidefumi; Takemura, Akimichi
6
2008
Cohen-Macaulay partially ordered sets with pure resolutions. Zbl 0926.13013
Bruns, Winfried; Hibi, Takayuki
6
1998
Alexander duality theorem and second Betti numbers of Stanley-Reisner rings. Zbl 0867.13004
Terai, Naoki; Hibi, Takayuki
6
1996
Cohen-Macaulay types of Cohen-Macaulay complexes. Zbl 0813.06004
Hibi, Takayuki
6
1994
Divisor class groups of affine semigroup rings associated with distributive lattices. Zbl 0759.13009
Hashimoto, Mitsuyasu; Hibi, Takayuki; Noma, Atsushi
6
1992
Hilbert functions of Cohen-Macaulay integral domains and chain conditions of finite partially ordered sets. Zbl 0735.13009
Hibi, Takayuki
6
1991
Union and glueing of a family of Cohen-Macaulay partially ordered sets. Zbl 0601.13011
Hibi, Takayuki
6
1987
Pseudo-Gorenstein and level Hibi rings. Zbl 1311.05215
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki; Saeedi Madani, Sara
5
2015
Determinantal facet ideals. Zbl 1271.13029
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki; Mohammadi, Fatemeh
5
2013
Ideals generated by adjacent 2-minors. Zbl 1267.13046
Herzog, Jürgen; Hibi, Takayuki
5
2012
Powers of componentwise linear ideals. Zbl 1317.13009
Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi
5
2011
Some results on Betti numbers of Stanley-Reisner rings. Zbl 0862.13005
Terai, Naoki; Hibi, Takayuki
5
1996
Star-shaped complexes and Ehrhart polynomials. Zbl 0823.13013
Hibi, Takayuki
5
1995
The trace of the canonical module. Zbl 1428.13037
Herzog, Jürgen; Hibi, Takayuki; Stamate, Dumitru I.
4
2019
Edge rings with \(3\)-linear resolutions. Zbl 1416.05307
Hibi, Takayuki; Matsuda, Kazunori; Tsuchiya, Akiyoshi
4
2019
Regularity and \(h\)-polynomials of monomial ideals. Zbl 1404.05218
Hibi, Takayuki; Matsuda, Kazunori
4
2018
Strongly Koszul edge rings. Zbl 1335.13019
Hibi, Takayuki; Matsuda, Kazunori; Ohsugi, Hidefumi
4
2016
Linear flags and Koszul filtrations. Zbl 1330.13011
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki
4
2015
Koszul binomial edge ideals. Zbl 1327.13043
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki
4
2014
Depth of initial ideals of normal edge rings. Zbl 1297.13036
Hibi, Takayuki; Higashitani, Akihiro; Kimura, Kyouko; O’Keefe, Augustine B.
4
2014
The trace of the canonical module. Zbl 1428.13037
Herzog, Jürgen; Hibi, Takayuki; Stamate, Dumitru I.
4
2019
Edge rings with \(3\)-linear resolutions. Zbl 1416.05307
Hibi, Takayuki; Matsuda, Kazunori; Tsuchiya, Akiyoshi
4
2019
Reflexive polytopes arising from partially ordered sets and perfect graphs. Zbl 1411.13038
Hibi, Takayuki; Tsuchiya, Akiyoshi
3
2019
The relevance of Freiman’s theorem for combinatorial commutative algebra. Zbl 1412.13025
Herzog, Jürgen; Hibi, Takayuki; Zhu, Guangjun
2
2019
Order-chain polytopes. Zbl 1419.52010
Hibi, Takayuki; Li, Nan; Li, Teresa Xueshan; Mu, Li Li; Tsuchiya, Akiyoshi
1
2019
Lexsegment ideals and their \(h\)-polynomials. Zbl 1427.13030
Hibi, Takayuki; Matsuda, Kazunori
1
2019
Ehrhart polynomials with negative coefficients. Zbl 1409.52012
Hibi, Takayuki; Higashitani, Akihiro; Tsuchiya, Akiyoshi; Yoshida, Koutarou
1
2019
Regularity and \(h\)-polynomials of edge ideals. Zbl 1440.13060
Hibi, Takayuki; Matsuda, Kazunori; Van Tuyl, Adam
1
2019
Binomial ideals. Zbl 1403.13004
Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi
15
2018
Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes. Zbl 1420.13063
Ohsugi, Hidefumi; Hibi, Takayuki
8
2018
Reflexive polytopes arising from perfect graphs. Zbl 1385.05036
Hibi, Takayuki; Tsuchiya, Akiyoshi
7
2018
Regularity and \(h\)-polynomials of monomial ideals. Zbl 1404.05218
Hibi, Takayuki; Matsuda, Kazunori
4
2018
Gorenstein properties and integer decomposition properties of lecture hall polytopes. Zbl 1427.13040
Hibi, Takayuki; Olsen, McCabe; Tsuchiya, Akiyoshi
3
2018
Isotonian algebras. Zbl 1430.13042
Bigdeli, Mina; Herzog, Jürgen; Hibi, Takayuki; Qureshi, Ayesha Asloob; Shikama, Akihiro
1
2018
Facets and volume of Gorenstein Fano polytopes. Zbl 1407.13026
Hibi, Takayuki; Tsuchiya, Akiyoshi
9
2017
Quadratic Gröbner bases arising from partially ordered sets. Zbl 1386.13072
Hibi, Takayuki; Matsuda, Kazunori; Tsuchiya, Akiyoshi
6
2017
Mini-workshop: Lattice polytopes: methods, advances, applications. Abstracts from the mini-workshop held September 17–23, 2017. Zbl 1394.00017
Hibi, Takayuki (ed.); Higashitani, Akihiro (ed.); Jochemko, Katharina (ed.); Nill, Benjamin (ed.)
2
2017
Self dual reflexive simplices with Eulerian polynomials. Zbl 1387.13064
Hibi, Takayuki; Olsen, McCabe; Tsuchiya, Akiyoshi
2
2017
The numbers of edges of the order polytope and the chain polytope of a finite partially ordered set. Zbl 1367.52012
Hibi, Takayuki; Li, Nan; Sahara, Yoshimi; Shikama, Akihiro
2
2017
Pfaffian systems of \(A\)-hypergeometric equations. I: Bases of twisted cohomology groups. Zbl 1401.13079
Hibi, Takayuki; Nishiyama, Kenta; Takayama, Nobuki
1
2017
A Gröbner basis characterization for chordal comparability graphs. Zbl 1348.05098
Ohsugi, Hidefumi; Hibi, Takayuki
1
2017
Unimodular equivalence of order and chain polytopes. Zbl 1335.52026
Hibi, Takayuki; Li, Nan
9
2016
Dominating induced matchings of finite graphs and regularity of edge ideals. Zbl 1331.05239
Hibi, Takayuki; Higashitani, Akihiro; Kimura, Kyouko; Tsuchiya, Akiyoshi
8
2016
Quadratic Gröbner bases of twinned order polytopes. Zbl 1356.52005
Hibi, Takayuki; Matsuda, Kazunori
7
2016
Strongly Koszul edge rings. Zbl 1335.13019
Hibi, Takayuki; Matsuda, Kazunori; Ohsugi, Hidefumi
4
2016
Facets of the \(r\)-stable \((n,k)\)-hypersimplex. Zbl 1367.52008
Hibi, Takayuki; Solus, Liam
1
2016
Integer decomposition property of free sums of convex polytopes. Zbl 1352.52016
Hibi, Takayuki; Higashitani, Akihiro
1
2016
The number of edges of the edge polytope of a finite simple graph. Zbl 1351.52007
Hibi, Takayuki; Mori, Aki; Ohsugi, Hidefumi; Shikama, Akihiro
1
2016
Algebraic study on Cameron-Walker graphs. Zbl 1303.05218
Hibi, Takayuki; Higashitani, Akihiro; Kimura, Kyouko; O’Keefe, Augustine B.
13
2015
Chain polytopes and algebras with straightening laws. Zbl 1327.52021
Hibi, Takayuki; Li, Nan
9
2015
Centrally symmetric configurations of order polytopes. Zbl 1396.13017
Hibi, Takayuki; Matsuda, Kazunori; Ohsugi, Hidefumi; Shibata, Kazuki
8
2015
Bounding the socles of powers of squarefree monomial ideals. Zbl 1359.13021
Herzog, Jürgen; Hibi, Takayuki
7
2015
Linearly related polyominoes. Zbl 1327.13038
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki
6
2015
Pseudo-Gorenstein and level Hibi rings. Zbl 1311.05215
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki; Saeedi Madani, Sara
5
2015
Linear flags and Koszul filtrations. Zbl 1330.13011
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki
4
2015
Nonsimple polyominoes and prime ideals. Zbl 1341.13010
Hibi, Takayuki; Asloob Qureshi, Ayesha
2
2015
Polarization of Koszul cycles with applications to powers of edge ideals of whisker graphs. Zbl 1318.13014
Herzog, Jürgen; Hibi, Takayuki; Qureshi, Ayesha Asloob
1
2015
Monomial ideals whose depth function has any given number of strict local maxima. Zbl 1314.13022
Bandari, Somayeh; Herzog, Jürgen; Hibi, Takayuki
14
2014
Centrally symmetric configurations of integer matrices. Zbl 1353.13034
Ohsugi, Hidefumi; Hibi, Takayuki
11
2014
Integer decomposition property of dilated polytopes. Zbl 1308.52012
Cox, David A.; Haase, Christian; Hibi, Takayuki; Higashitani, Akihiro
8
2014
Many toric ideals generated by quadratic binomials possess no quadratic Gröbner bases. Zbl 1304.13040
Hibi, Takayuki; Nishiyama, Kenta; Ohsugi, Hidefumi; Shikama, Akihiro
7
2014
The binomial edge ideal of a pair of graphs. Zbl 1298.13020
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki; Qureshi, Ayesha Asloob
6
2014
Koszul binomial edge ideals. Zbl 1327.13043
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki
4
2014
Depth of initial ideals of normal edge rings. Zbl 1297.13036
Hibi, Takayuki; Higashitani, Akihiro; Kimura, Kyouko; O’Keefe, Augustine B.
4
2014
Normal cyclic polytopes and cyclic polytopes that are not very ample. Zbl 1303.52006
Hibi, Takayuki; Higashitani, Akihiro; Katthän, Lukas; Okazaki, Ryota
2
2014
Toric ideals of finite graphs and adjacent 2-minors. Zbl 1298.14058
Ohsugi, Hidefumi; Hibi, Takayuki
1
2014
Edge rings satisfying Serre’s condition \((R_{1})\). Zbl 1306.13015
Hibi, Takayuki; Katthän, Lukas
1
2014
Gröbner bases. Statistics and software systems. Transl. from the Japanese. Zbl 1282.13003
Hibi, Takayuki (ed.)
18
2013
Determinantal facet ideals. Zbl 1271.13029
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki; Mohammadi, Fatemeh
5
2013
Toric ideals and their circuits. Zbl 1270.13018
Ohsugi, Hidefumi; Hibi, Takayuki
2
2013
The join-meet ideal of a finite lattice. Zbl 1276.13020
Ene, Viviana; Hibi, Takayuki
2
2013
Markov chain Monte Carlo methods for the regular two-level fractional factorial designs and cut ideals. Zbl 1279.62159
Aoki, Satoshi; Hibi, Takayuki; Ohsugi, Hidefumi
1
2013
Separating hyperplanes of edge polytopes. Zbl 1255.05123
Hibi, Takayuki; Li, Nan; Zhang, Yan X.
1
2013
Ideals generated by adjacent 2-minors. Zbl 1267.13046
Herzog, Jürgen; Hibi, Takayuki
5
2012
Finite lattices and Gröbner bases. Zbl 1260.13033
Herzog, Jürgen; Hibi, Takayuki
3
2012
Hermite normal forms and \(\delta \)-vectors. Zbl 1242.05012
Hibi, Takayuki; Higashitani, Akihiro; Li, Nan
3
2012
Monomial ideals. Zbl 1206.13001
Herzog, Jürgen; Hibi, Takayuki
252
2011
Cohen-Macaulay binomial edge ideals. Zbl 1236.13011
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki
37
2011
Roots of Ehrhart polynomials arising from graphs. Zbl 1229.05122
Matsui, Tetsushi; Higashitani, Akihiro; Nagazawa, Yuuki; Ohsugi, Hidefumi; Hibi, Takayuki
11
2011
Depth of edge rings arising from finite graphs. Zbl 1230.13024
Hibi, Takayuki; Higashitani, Akihiro; Kimura, Kyouko; O’Keefe, Augustine B.
8
2011
Powers of componentwise linear ideals. Zbl 1317.13009
Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi
5
2011
Smooth Fano polytopes arising from finite partially ordered sets. Zbl 1242.52015
Hibi, Takayuki; Higashitani, Akihiro
2
2011
Ehrhart polynomials of convex polytopes with small volumes. Zbl 1210.52008
Hibi, Takayuki; Higashitani, Akihiro; Nagazawa, Yuuki
2
2011
Roots of Ehrhart polynomials of Gorenstein Fano polytopes. Zbl 1230.52027
Hibi, Takayuki; Higashitani, Akihiro; Ohsugi, Hidefumi
1
2011
Binomial edge ideals and conditional independence statements. Zbl 1196.13018
Herzog, Jürgen; Hibi, Takayuki; Hreinsdóttir, Freyja; Kahle, Thomas; Rauh, Johannes
67
2010
Non-very ample configurations arising from contingency tables. Zbl 1440.13092
Ohsugi, Hidefumi; Hibi, Takayuki
4
2010
Markov basis and Gröbner basis of Segre-Veronese configuration for testing independence in group-wise selections. Zbl 1440.62219
Aoki, Satoshi; Hibi, Takayuki; Ohsugi, Hidefumi; Takemura, Akimichi
4
2010
Toric rings and ideals of nested configurations. Zbl 1237.13053
Ohsugi, Hidefumi; Hibi, Takayuki
3
2010
Betti numbers of chordal graphs and \(f\)-vectors of simplicial complexes. Zbl 1184.13060
Hibi, Takayuki; Kimura, Kyouko; Murai, Satoshi
2
2010
Algebraic shifting and graded Betti numbers. Zbl 1163.13006
Murai, Satoshi; Hibi, Takayuki
9
2009
Unmixed bipartite graphs and sublattices of the Boolean lattices. Zbl 1186.13020
Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi
3
2009
Two way subtable sum problems and quadratic Gröbner bases. Zbl 1162.13012
Ohsugi, Hidefumi; Hibi, Takayuki
3
2009
Vertex cover algebras of unimodular hypergraphs. Zbl 1159.13002
Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt
3
2009
Standard graded vertex cover algebras, cycles and leaves. Zbl 1155.13003
Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt; Zheng, Xinxian
26
2008
Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs. Zbl 1175.05136
Herzog, Jürgen; Hibi, Takayuki; Murai, Satoshi; Trung, Ngô Viêt; Zheng, Xinxian
8
2008
The depth of an ideal with a given Hilbert function. Zbl 1148.13006
Murai, Satoshi; Hibi, Takayuki
8
2008
Gotzmann ideals of the polynomial ring. Zbl 1155.13013
Murai, Satoshi; Hibi, Takayuki
7
2008
Gröbner bases of nested configurations. Zbl 1152.14047
Aoki, Satoshi; Hibi, Takayuki; Ohsugi, Hidefumi; Takemura, Akimichi
6
2008
Componentwise linear ideals with minimal or maximal Betti numbers. Zbl 1167.13009
Herzog, Jürgen; Hibi, Takayuki; Murai, Satoshi; Takayama, Yukihide
3
2008
Quadratic Gröbner bases arising from combinatorics. Zbl 1169.13018
Ohsugi, Hidefumi; Hibi, Takayuki
2
2008
Linear balls and the multiplicity conjecture. Zbl 1166.13026
Hibi, Takayuki; Singla, Pooja
2
2008
Symbolic powers of monomial ideals and vertex cover algebras. Zbl 1112.13006
Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt
50
2007
Toric ideals arising form contingency tables. Zbl 1187.13024
Ohsugi, Hidefumi; Hibi, Takayuki
13
2007
Mini-workshop: Projective normality of smooth toric varieties. Abstracts from the mini-workshop held August 12–18, 2007. Zbl 1177.14017
Haase, Christian (ed.); Hibi, Takayuki (ed.); Maclagan, Diane (ed.)
4
2007
Gröbner basis techniques in algebraic combinatorics. Zbl 1193.13030
Hibi, Takayuki
1
2007
Cohen–Macaulay chordal graphs. Zbl 1172.13307
Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian
30
2006
Cohen-Macaulay polymatroidal ideals. Zbl 1095.13008
Herzog, Jürgen; Hibi, Takayuki
18
2006
Special simplices and Gorenstein toric rings. Zbl 1095.13023
Ohsugi, Hidefumi; Hibi, Takayuki
14
2006
Weakly polymatroidal ideals. Zbl 1104.13013
Kokubo, Masako; Hibi, Takayuki
11
2006
The monomial ideal of a finite meet-semilattice. Zbl 1096.13016
Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian
4
2006
Gin and lex of certain monomial ideals. Zbl 1130.13008
Murai, Satoshi; Hibi, Takayuki
3
2006
Level rings arising from meet-distributive meet-semilattices. Zbl 1097.13017
Herzog, Jürgen; Hibi, Takayuki
2
2006
Distributive lattices, bipartite graphs and Alexander duality. Zbl 1090.13017
Herzog, Jürgen; Hibi, Takayuki
67
2005
The depth of powers of an ideal. Zbl 1096.13015
Herzog, Jürgen; Hibi, Takayuki
65
2005
Indispensable binomials of finite graphs. Zbl 1093.13020
Ohsugi, Hidefumi; Hibi, Takayuki
26
2005
Ideals of fiber type and polymatroids. Zbl 1092.05012
Herzog, Jürgen; Hibi, Takayuki; Vladoiu, Marius
14
2005
The \(h\)-vector of a Gorenstein toric ring of a compressed polytope. Zbl 1085.52009
Ohsugi, Hidefumi; Hibi, Takayuki
2
2005
Prestable ideals and SAGBI bases. Zbl 1066.13021
Ohsugi, Hidefumi; Hibi, Takayuki
1
2005
Monomial ideals whose powers have a linear resolution. Zbl 1091.13013
Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian
48
2004
Dirac’s theorem on chordal graphs and Alexander duality. Zbl 1062.05075
Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian
42
2004
...and 69 more Documents
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Cited by 866 Authors

121 Hibi, Takayuki
73 Herzog, Jürgen
32 Ohsugi, Hidefumi
27 Seyed Fakhari, Seyed Amin
26 Higashitani, Akihiro
25 Hà, Huy Tài
25 Terai, Naoki
24 Murai, Satoshi
23 Van Tuyl, Adam
23 Yassemi, Siamak
21 Tsuchiya, Akiyoshi
18 Ene, Viviana
18 Ngô Viêt Trung
18 Villarreal, Rafael Heraclio
17 Takemura, Akimichi
16 Mohammadi, Fatemeh
16 Peeva, Irena V.
16 Römer, Tim
16 Trung, Trân Nam
15 Francisco, Christopher A.
14 Nagel, Uwe
14 Rinaldo, Giancarlo
13 Crupi, Marilena
13 Madani, Sara Saeedi
13 Moradi, Somayeh
13 Nguyen, Dang Hop
12 Yanagawa, Kohji
11 Katthän, Lukas
11 Morey, Susan E.
11 Qureshi, Ayesha Asloob
11 Thoma, Apostolos
11 Varbaro, Matteo
10 Matsuda, Kazunori
10 Welker, Volkmar
10 Zheng, Xinxian
9 Aoki, Satoshi
9 Conca, Aldo
9 Jahan, Ali Soleyman
9 Kimura, Kyouko
9 Sharifan, Leila
8 Bigdeli, Mina
8 Braun, Benjamin
8 Jayanthan, A. V.
8 Kiani, Dariush
8 Michałek, Mateusz
8 Nasernejad, Mehrdad
8 Vladoiu, Marius
7 Beck, Matthias
7 Caviglia, Giulio
7 Gasharov, Vesselin N.
7 Hoang, Do Trong
7 Katsabekis, Anargyros
7 Kim, Sangjib
7 Kumar, Arvind
7 Lê Tuâń Hoa
7 Mermin, Jeffrey
7 Nguyen Cong Minh
7 Rahmati, Farhad
7 Reyes, Enrique
7 Sáenz de Cabezón Irigaray, Eduardo
7 Simis, Aron
7 Solus, Liam T.
7 Stapledon, Alan
7 Sturmfels, Bernd
7 Yazdan Pour, Ali Akbar
7 Zaare-Nahandi, Rashid
7 Zhu, Guangjun
6 Aramova, Annetta G.
6 Bayati, Shamila
6 Constantinescu, Alexandru
6 Fourier, Ghislain
6 Goodarzi, Afshin
6 Jafari, Raheleh
6 Kahle, Thomas
6 Khosh-Ahang, Fahimeh
6 Lu, Dancheng
6 O’Keefe, Augustine B.
6 Pournaki, Mohammad Reza
6 Rahmati-Asghar, Rahim
6 Shen, Yihuang
6 Utano, Rosanna
6 Wu, Tongsuo
6 Yoshida, Ken-ichi
6 Zanello, Fabrizio
5 Bandari, Somayeh
5 Banerjee, Arindam
5 Boocher, Adam
5 Brown, Jason Ira
5 Charalambous, Hara
5 De Loera, Jesús A.
5 Favacchio, Giuseppe
5 La Barbiera, Monica
5 Li, Nan
5 Miyazaki, Mitsuhiro
5 Okazaki, Ryota
5 Olteanu, Anda Georgiana
5 Petrović, Sonja
5 Sbarra, Enrico
5 Schweig, Jay
5 Selvaraja, S.
...and 766 more Authors
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Cited in 159 Serials

118 Journal of Algebra
101 Communications in Algebra
72 Journal of Pure and Applied Algebra
61 Journal of Algebraic Combinatorics
46 Proceedings of the American Mathematical Society
42 Journal of Combinatorial Theory. Series A
35 Journal of Algebra and its Applications
32 European Journal of Combinatorics
31 Journal of Commutative Algebra
25 Discrete Mathematics
25 Advances in Mathematics
24 Transactions of the American Mathematical Society
19 Advances in Applied Mathematics
16 Acta Mathematica Vietnamica
16 Nagoya Mathematical Journal
16 Annals of Combinatorics
14 Archiv der Mathematik
14 Discrete & Computational Geometry
14 The Electronic Journal of Combinatorics
13 Collectanea Mathematica
13 Mathematische Zeitschrift
13 Algebra Colloquium
11 Journal of Symbolic Computation
11 International Journal of Algebra and Computation
10 Illinois Journal of Mathematics
10 Manuscripta Mathematica
8 Rocky Mountain Journal of Mathematics
8 Graphs and Combinatorics
8 SIAM Journal on Discrete Mathematics
8 Algebraic Combinatorics
6 Israel Journal of Mathematics
6 Bulletin of the Iranian Mathematical Society
6 Order
6 Linear Algebra and its Applications
6 Experimental Mathematics
6 Turkish Journal of Mathematics
5 Mathematical Notes
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Arkiv för Matematik
5 Annals of the Institute of Statistical Mathematics
5 Journal of Multivariate Analysis
5 Mathematische Annalen
5 Mathematische Nachrichten
5 Mathematica Scandinavica
5 Osaka Journal of Mathematics
5 Results in Mathematics
5 Combinatorica
4 Bulletin of the Australian Mathematical Society
4 Compositio Mathematica
4 Michigan Mathematical Journal
4 Designs, Codes and Cryptography
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Boletín de la Sociedad Matemática Mexicana. Third Series
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Duke Mathematical Journal
3 Journal of the Korean Mathematical Society
3 Tohoku Mathematical Journal. Second Series
3 Acta Mathematica Hungarica
3 Applicable Algebra in Engineering, Communication and Computing
3 Selecta Mathematica. New Series
3 Proceedings of the Steklov Institute of Mathematics
3 SIAM Journal on Applied Algebra and Geometry
2 Mathematics of Computation
2 Annales de l’Institut Fourier
2 Czechoslovak Mathematical Journal
2 Glasgow Mathematical Journal
2 Mathematika
2 Proceedings of the Japan Academy. Series A
2 Proceedings of the London Mathematical Society. Third Series
2 Semigroup Forum
2 Theoretical Computer Science
2 Transactions of the Moscow Mathematical Society
2 Forum Mathematicum
2 Mathematical Programming. Series A. Series B
2 The Australasian Journal of Combinatorics
2 Bernoulli
2 Séminaire Lotharingien de Combinatoire
2 Algebras and Representation Theory
2 Journal of Integer Sequences
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Discrete Optimization
2 International Electronic Journal of Algebra (IEJA)
2 Kyoto Journal of Mathematics
2 Transactions on Combinatorics
2 Mathematics
1 Discrete Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Letters in Mathematical Physics
1 Mathematische Semesterberichte
1 Journal of Geometry and Physics
1 Beiträge zur Algebra und Geometrie
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Functional Analysis and its Applications
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series B
1 Journal of Computational and Applied Mathematics
...and 59 more Serials
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Cited in 40 Fields

833 Commutative algebra (13-XX)
528 Combinatorics (05-XX)
190 Convex and discrete geometry (52-XX)
171 Algebraic geometry (14-XX)
89 Order, lattices, ordered algebraic structures (06-XX)
49 Associative rings and algebras (16-XX)
32 Group theory and generalizations (20-XX)
32 Statistics (62-XX)
28 Algebraic topology (55-XX)
19 Computer science (68-XX)
17 Operations research, mathematical programming (90-XX)
15 Number theory (11-XX)
14 Nonassociative rings and algebras (17-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
12 Manifolds and cell complexes (57-XX)
11 Probability theory and stochastic processes (60-XX)
11 Information and communication theory, circuits (94-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Geometry (51-XX)
8 Numerical analysis (65-XX)
6 Special functions (33-XX)
4 Category theory; homological algebra (18-XX)
3 Mathematical logic and foundations (03-XX)
3 Field theory and polynomials (12-XX)
3 Real functions (26-XX)
3 Differential geometry (53-XX)
3 Quantum theory (81-XX)
2 Topological groups, Lie groups (22-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Operator theory (47-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 \(K\)-theory (19-XX)
1 Functions of a complex variable (30-XX)
1 Ordinary differential equations (34-XX)
1 Approximations and expansions (41-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)
1 Mechanics of particles and systems (70-XX)
1 Biology and other natural sciences (92-XX)

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