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Hibi, Takayuki

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Author ID: hibi.takayuki Recent zbMATH articles by "Hibi, Takayuki"
Published as: Hibi, Takayuki; Hibi, T.
Documents Indexed: 230 Publications since 1983, including 14 Books
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Co-Authors

49 single-authored
53 Herzog, Jürgen
50 Ohsugi, Hidefumi
21 Tsuchiya, Akiyoshi
16 Higashitani, Akihiro
13 Matsuda, Kazunori
8 Ene, Viviana
8 Kimura, Kyouko
8 Murai, Satoshi
7 Aramova, Annetta G.
7 Li, Nan
7 Terai, Naoki
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 Stamate, Dumitru Ioan
3 Watanabe, Kei-ichi
3 Yoshida, Koutarou
2 Bigdeli, Mina
2 Bruns, Winfried
2 Haase, Christian Alexander
2 Hamano, Ginji
2 Kanno, Hiroju
2 Kitamura, Tomonori
2 Nagazawa, Yuuki
2 Nishiyama, Kenta
2 Okazaki, Ryota
2 Olsen, McCabe
2 Takayama, Yukihide
2 Takemura, Akimichi
2 Van Tuyl, Adam
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 Erey, Nursel
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 Kokubo, Masako
1 Lasoń, Michał
1 Li, Teresa Xueshan
1 Macchia, Antonio
1 Maclagan, Diane
1 Madani, Sara Saeedi
1 Matsui, Tetsushi
1 Meyer, Marie E.
1 Michałek, Mateusz
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 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 Stanley, Richard Peter
1 Takayama, Nobuki
1 Tsuchiya, Morimasa
1 Vladoiu, Marius
1 Vodička, Martin
1 Wakayama, Masato
1 Weibel, Charles A.
1 Zhu, Guangjun
all top 5

Serials

20 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
6 The Electronic Journal of Combinatorics
5 Acta Mathematica Vietnamica
5 Annals of Combinatorics
5 Journal of Commutative Algebra
4 Archiv der Mathematik
4 Transactions of the American Mathematical Society
4 Advances in Applied Mathematics
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 Combinatorica
3 Graphs and Combinatorics
3 Discrete & Computational Geometry
2 Israel Journal of Mathematics
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 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 Semigroup Forum
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 Open

179 Publications have been cited 2,495 times in 1,212 Documents Cited by Year
Monomial ideals. Zbl 1206.13001
Herzog, Jürgen; Hibi, Takayuki
274
2011
Algebraic combinatorics on convex polytopes. Zbl 0772.52008
Hibi, Takayuki
100
1992
Componentwise linear ideals. Zbl 0930.13018
Herzog, Jürgen; Hibi, Takayuki
86
1999
Toric ideals generalized by quadratic binomials. Zbl 0943.13014
Ohsugi, Hidefumi; Hibi, Takayuki
75
1999
Distributive lattices, bipartite graphs and Alexander duality. Zbl 1090.13017
Herzog, Jürgen; Hibi, Takayuki
75
2005
Binomial edge ideals and conditional independence statements. Zbl 1196.13018
Herzog, Jürgen; Hibi, Takayuki; Hreinsdóttir, Freyja; Kahle, Thomas; Rauh, Johannes
74
2010
The depth of powers of an ideal. Zbl 1096.13015
Herzog, Jürgen; Hibi, Takayuki
69
2005
Symbolic powers of monomial ideals and vertex cover algebras. Zbl 1112.13006
Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt
57
2007
Normal polytopes arising from finite graphs. Zbl 0926.52017
Ohsugi, Hidefumi; Hibi, Takayuki
55
1998
Squarefree lexsegment ideals. Zbl 0914.13007
Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki
55
1998
Monomial ideals whose powers have a linear resolution. Zbl 1091.13013
Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian
55
2004
Distributive lattices, affine semigroup rings and algebras with straightening laws. Zbl 0654.13015
Hibi, Takayuki
52
1987
Discrete polymatroids. Zbl 1012.05046
Herzog, Jürgen; Hibi, Takayuki
52
2002
Dual polytopes of rational convex polytopes. Zbl 0758.52009
Hibi, Takayuki
47
1992
Gotzmann theorems for exterior algebras and combinatorics. Zbl 0897.13030
Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki
45
1997
Dirac’s theorem on chordal graphs and Alexander duality. Zbl 1062.05075
Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian
43
2004
Cohen-Macaulay binomial edge ideals. Zbl 1236.13011
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki
40
2011
Combinatorial pure subrings. Zbl 1096.13525
Ohsugi, Hidefumi; Herzog, Jürgen; Hibi, Takayuki
36
2000
A lower bound theorem for Ehrhart polynomials of convex polytopes. Zbl 0807.52011
Hibi, Takayuki
36
1994
Ideals with stable Betti numbers. Zbl 0968.13008
Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki
35
2000
Cohen–Macaulay chordal graphs. Zbl 1172.13307
Herzog, Jürgen; Hibi, Takayuki; Zheng, Xinxian
34
2006
Shifting operations and graded Betti numbers. Zbl 0980.13013
Aramova, Annetta; Herzog, Jürgen; Hibi, Takayuki
32
2000
Koszul bipartite graphs. Zbl 0916.05046
Ohsugi, Hidefumi; Hibi, Takayuki
30
1999
Gorenstein algebras of Veronese type. Zbl 0884.13012
De Negri, Emanuela; Hibi, Takayuki
27
1997
Standard graded vertex cover algebras, cycles and leaves. Zbl 1155.13003
Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt; Zheng, Xinxian
27
2008
Strongly Koszul algebras. Zbl 1061.13008
Herzog, Jürgen; Hibi, Takayuki; Restuccia, Gaetana
26
2000
Indispensable binomials of finite graphs. Zbl 1093.13020
Ohsugi, Hidefumi; Hibi, Takayuki
26
2005
What can be said about pure O-sequences? Zbl 0667.05004
Hibi, Takayuki
25
1989
Rigid resolutions and big Betti numbers. Zbl 1080.13008
Conca, Aldo; Herzog, Jürgen; Hibi, Takayuki
24
2004
Binomial ideals. Zbl 1403.13004
Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi
24
2018
Resolutions of a-stable ideals. Zbl 1089.13508
Gasharov, Vesselin; Hibi, Takayuki; Peeva, Irena
23
2002
Convex polytopes all of whose reverse lexicographic initial ideals are squarefree. Zbl 0984.13014
Ohsugi, Hidefumi; Hibi, Takayuki
20
2001
Compressed polytopes, initial ideals and complete multipartite graphs. Zbl 0943.13016
Ohsugi, Hidefumi; Hibi, Takayuki
19
2000
Cohen-Macaulay polymatroidal ideals. Zbl 1095.13008
Herzog, Jürgen; Hibi, Takayuki
19
2006
Special simplices and Gorenstein toric rings. Zbl 1095.13023
Ohsugi, Hidefumi; Hibi, Takayuki
19
2006
Algebraic study on Cameron-Walker graphs. Zbl 1303.05218
Hibi, Takayuki; Higashitani, Akihiro; Kimura, Kyouko; O’Keefe, Augustine B.
19
2015
Level rings and algebras with straightening laws. Zbl 0652.13010
Hibi, Takayuki
17
1988
The trace of the canonical module. Zbl 1428.13037
Herzog, Jürgen; Hibi, Takayuki; Stamate, Dumitru I.
16
2019
Ideals of fiber type and polymatroids. Zbl 1092.05012
Herzog, Jürgen; Hibi, Takayuki; Vladoiu, Marius
15
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
Gröbner bases. Statistics and software systems. Transl. from the Japanese. Zbl 1282.13003
Hibi, Takayuki (ed.)
14
2013
Monomial ideals whose depth function has any given number of strict local maxima. Zbl 1314.13022
Bandari, Somayeh; Herzog, Jürgen; Hibi, Takayuki
14
2014
Quotient algebras of Stanley-Reisner rings and local cohomology. Zbl 0761.55015
Hibi, Takayuki
13
1991
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
13
2000
Roots of Ehrhart polynomials arising from graphs. Zbl 1229.05122
Matsui, Tetsushi; Higashitani, Akihiro; Nagazawa, Yuuki; Ohsugi, Hidefumi; Hibi, Takayuki
13
2011
Toric ideals arising form contingency tables. Zbl 1187.13024
Ohsugi, Hidefumi; Hibi, Takayuki
13
2007
Computation of Betti numbers of monomial ideals associated with cyclic polytopes. Zbl 0860.55018
Terai, N.; Hibi, T.
12
1996
A recurrence for linear extensions. Zbl 0692.06001
Edelman, Paul; Hibi, Takayuki; Stanley, Richard P.
11
1989
Ehrhardt polynomials of convex polytopes, \(h\)-vectors of simplicial complexes, and nonsingular projective toric varieties. Zbl 0755.05098
Hibi, Takayuki
11
1991
Quadratic initial ideals of root systems. Zbl 1012.13012
Ohsugi, Hidefumi; Hibi, Takayuki
11
2002
Centrally symmetric configurations of integer matrices. Zbl 1353.13034
Ohsugi, Hidefumi; Hibi, Takayuki
11
2014
Chain polytopes and algebras with straightening laws. Zbl 1327.52021
Hibi, Takayuki; Li, Nan
11
2015
Facets and volume of Gorenstein Fano polytopes. Zbl 1407.13026
Hibi, Takayuki; Tsuchiya, Akiyoshi
11
2017
Weakly polymatroidal ideals. Zbl 1104.13013
Kokubo, Masako; Hibi, Takayuki
11
2006
Some results on Ehrhart polynomials of convex polytopes. Zbl 0708.52005
Hibi, Takayuki
10
1990
Flawless O-sequences and Hilbert functions of Cohen-Macaulay integral domains. Zbl 0728.13005
Hibi, Takayuki
10
1989
Integer decomposition property of dilated polytopes. Zbl 1308.52012
Cox, David A.; Haase, Christian; Hibi, Takayuki; Higashitani, Akihiro
10
2014
Canonical ideals of Cohen-Macaulay partially ordered sets. Zbl 0627.13001
Hibi, Takayuki
9
1988
Dominating induced matchings of finite graphs and regularity of edge ideals. Zbl 1331.05239
Hibi, Takayuki; Higashitani, Akihiro; Kimura, Kyouko; Tsuchiya, Akiyoshi
9
2016
Centrally symmetric configurations of order polytopes. Zbl 1396.13017
Hibi, Takayuki; Matsuda, Kazunori; Ohsugi, Hidefumi; Shibata, Kazuki
9
2015
Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes. Zbl 1420.13063
Ohsugi, Hidefumi; Hibi, Takayuki
9
2018
Unimodular equivalence of order and chain polytopes. Zbl 1335.52026
Hibi, Takayuki; Li, Nan
9
2016
Reflexive polytopes arising from perfect graphs. Zbl 1385.05036
Hibi, Takayuki; Tsuchiya, Akiyoshi
9
2018
Bounding the socles of powers of squarefree monomial ideals. Zbl 1359.13021
Herzog, Jürgen; Hibi, Takayuki
9
2015
A normal \((0,1)\)-polytope none of whose regular triangulation is unimodular. Zbl 0927.52018
Ohsugi, H.; Hibi, T.
9
1999
Algebraic shifting and graded Betti numbers. Zbl 1163.13006
Murai, Satoshi; Hibi, Takayuki
9
2009
Castelnuovo-Mumford regularity of simplicial semigroup rings with isolated singularity. Zbl 1093.13508
Herzog, Jürgen; Hibi, Takayuki
8
2003
Many toric ideals generated by quadratic binomials possess no quadratic Gröbner bases. Zbl 1304.13040
Hibi, Takayuki; Nishiyama, Kenta; Ohsugi, Hidefumi; Shikama, Akihiro
8
2014
Buchsbaum complexes with linear resolutions. Zbl 0839.55012
Hibi, Takayuki
8
1996
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
8
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
Depth of edge rings arising from finite graphs. Zbl 1230.13024
Hibi, Takayuki; Higashitani, Akihiro; Kimura, Kyouko; O’Keefe, Augustine B.
8
2011
Study of three-dimensional algebras with straightening laws which are Gorenstein domains. I. Zbl 0633.13003
Hibi, Takayuki; Watanabe, Keiichi
7
1985
Union and glueing of a family of Cohen-Macaulay partially ordered sets. Zbl 0601.13011
Hibi, Takayuki
7
1987
Hilbert functions of Cohen-Macaulay integral domains and chain conditions of finite partially ordered sets. Zbl 0735.13009
Hibi, Takayuki
7
1991
Divisor class groups of affine semigroup rings associated with distributive lattices. Zbl 0759.13009
Hashimoto, Mitsuyasu; Hibi, Takayuki; Noma, Atsushi
7
1992
Quadratic Gröbner bases of twinned order polytopes. Zbl 1356.52005
Hibi, Takayuki; Matsuda, Kazunori
7
2016
Finite free resolutions and 1-skeletons of simplicial complexes. Zbl 0871.55015
Terai, Naoki; Hibi, Takayuki
7
1997
Powers of componentwise linear ideals. Zbl 1317.13009
Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi
7
2011
Regularity and \(h\)-polynomials of monomial ideals. Zbl 1404.05218
Hibi, Takayuki; Matsuda, Kazunori
7
2018
Gröbner bases of nested configurations. Zbl 1152.14047
Aoki, Satoshi; Hibi, Takayuki; Ohsugi, Hidefumi; Takemura, Akimichi
7
2008
Cohen-Macaulay partially ordered sets with pure resolutions. Zbl 0926.13013
Bruns, Winfried; Hibi, Takayuki
6
1998
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
Cohen-Macaulay types of Cohen-Macaulay complexes. Zbl 0813.06004
Hibi, Takayuki
6
1994
Alexander duality theorem and second Betti numbers of Stanley-Reisner rings. Zbl 0867.13004
Terai, Naoki; Hibi, Takayuki
6
1996
The binomial edge ideal of a pair of graphs. Zbl 1298.13020
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki; Qureshi, Ayesha Asloob
6
2014
Ideals generated by adjacent 2-minors. Zbl 1267.13046
Herzog, Jürgen; Hibi, Takayuki
5
2012
Determinantal facet ideals. Zbl 1271.13029
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki; Mohammadi, Fatemeh
5
2013
Pseudo-Gorenstein and level Hibi rings. Zbl 1311.05215
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki; Saeedi Madani, Sara
5
2015
Koszul binomial edge ideals. Zbl 1327.13043
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki
5
2014
Non-very ample configurations arising from contingency tables. Zbl 1440.13092
Ohsugi, Hidefumi; Hibi, Takayuki
5
2010
Edge rings with \(3\)-linear resolutions. Zbl 1416.05307
Hibi, Takayuki; Matsuda, Kazunori; Tsuchiya, Akiyoshi
5
2019
Star-shaped complexes and Ehrhart polynomials. Zbl 0823.13013
Hibi, Takayuki
5
1995
Some results on Betti numbers of Stanley-Reisner rings. Zbl 0862.13005
Terai, Naoki; Hibi, Takayuki
5
1996
Unmixed bipartite graphs and sublattices of the Boolean lattices. Zbl 1186.13020
Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi
5
2009
Every affine graded ring has a Hodge algebra structure. Zbl 0619.13005
Hibi, Takayuki
4
1986
Regularity and \(a\)-invariant of Cameron-Walker graphs. Zbl 07363531
Hibi, Takayuki; Kimura, Kyouko; Matsuda, Kazunori; Tsuchiya, Akiyoshi
1
2021
Integer decomposition property for Cayley sums of order and stable set polytopes. Zbl 1456.52018
Hibi, Takayuki; Ohsugi, Hidefumi; Tsuchiya, Akiyoshi
1
2020
Classification of lattice polytopes with small volumes. Zbl 07211437
Hibi, Takayuki; Tsuchiya, Akiyoshi
1
2020
The trace of the canonical module. Zbl 1428.13037
Herzog, Jürgen; Hibi, Takayuki; Stamate, Dumitru I.
16
2019
Edge rings with \(3\)-linear resolutions. Zbl 1416.05307
Hibi, Takayuki; Matsuda, Kazunori; Tsuchiya, Akiyoshi
5
2019
Regularity and \(h\)-polynomials of edge ideals. Zbl 1440.13060
Hibi, Takayuki; Matsuda, Kazunori; Van Tuyl, Adam
4
2019
Order-chain polytopes. Zbl 1419.52010
Hibi, Takayuki; Li, Nan; Li, Teresa Xueshan; Mu, Li Li; Tsuchiya, Akiyoshi
3
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
3
2019
Induced matching numbers of finite graphs and edge ideals. Zbl 1441.13042
Hibi, Takayuki; Kanno, Hiroju; Matsuda, Kazunori
2
2019
Extremal Betti numbers of edge ideals. Zbl 1416.05306
Hibi, Takayuki; Kimura, Kyouko; Matsuda, Kazunori
1
2019
Ehrhart polynomials with negative coefficients. Zbl 1409.52012
Hibi, Takayuki; Higashitani, Akihiro; Tsuchiya, Akiyoshi; Yoshida, Koutarou
1
2019
Lexsegment ideals and their \(h\)-polynomials. Zbl 1427.13030
Hibi, Takayuki; Matsuda, Kazunori
1
2019
Binomial ideals. Zbl 1403.13004
Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi
24
2018
Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes. Zbl 1420.13063
Ohsugi, Hidefumi; Hibi, Takayuki
9
2018
Reflexive polytopes arising from perfect graphs. Zbl 1385.05036
Hibi, Takayuki; Tsuchiya, Akiyoshi
9
2018
Regularity and \(h\)-polynomials of monomial ideals. Zbl 1404.05218
Hibi, Takayuki; Matsuda, Kazunori
7
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
2
2018
Existence of regular unimodular triangulations of dilated empty simplices. Zbl 1390.52022
Hibi, Takayuki; Higashitani, Akihiro; Yoshida, Koutarou
1
2018
Laplacian simplices associated to digraphs. Zbl 1408.52021
Balletti, Gabriele; Hibi, Takayuki; Meyer, Marie; Tsuchiya, Akiyoshi
1
2018
Facets and volume of Gorenstein Fano polytopes. Zbl 1407.13026
Hibi, Takayuki; Tsuchiya, Akiyoshi
11
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; Higashitani, Akihiro; Jochemko, Katharina; Nill, Benjamin
3
2017
Self dual reflexive simplices with Eulerian polynomials. Zbl 1387.13064
Hibi, Takayuki; Olsen, McCabe; Tsuchiya, Akiyoshi
2
2017
A Gröbner basis characterization for chordal comparability graphs. Zbl 1348.05098
Ohsugi, Hidefumi; Hibi, Takayuki
2
2017
Pfaffian systems of \(A\)-hypergeometric equations. I: Bases of twisted cohomology groups. Zbl 1401.13079
Hibi, Takayuki; Nishiyama, Kenta; Takayama, Nobuki
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
Dominating induced matchings of finite graphs and regularity of edge ideals. Zbl 1331.05239
Hibi, Takayuki; Higashitani, Akihiro; Kimura, Kyouko; Tsuchiya, Akiyoshi
9
2016
Unimodular equivalence of order and chain polytopes. Zbl 1335.52026
Hibi, Takayuki; Li, Nan
9
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
Markov-chain Monte Carlo methods for the Box-Behnken designs and centrally symmetric configurations. Zbl 1420.62334
Aoki, Satoshi; Hibi, Takayuki; Ohsugi, Hidefumi
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
Integer decomposition property of free sums of convex polytopes. Zbl 1352.52016
Hibi, Takayuki; Higashitani, Akihiro
1
2016
Facets of the \(r\)-stable \((n,k)\)-hypersimplex. Zbl 1367.52008
Hibi, Takayuki; Solus, Liam
1
2016
Algebraic study on Cameron-Walker graphs. Zbl 1303.05218
Hibi, Takayuki; Higashitani, Akihiro; Kimura, Kyouko; O’Keefe, Augustine B.
19
2015
Chain polytopes and algebras with straightening laws. Zbl 1327.52021
Hibi, Takayuki; Li, Nan
11
2015
Centrally symmetric configurations of order polytopes. Zbl 1396.13017
Hibi, Takayuki; Matsuda, Kazunori; Ohsugi, Hidefumi; Shibata, Kazuki
9
2015
Bounding the socles of powers of squarefree monomial ideals. Zbl 1359.13021
Herzog, Jürgen; Hibi, Takayuki
9
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
The face vector of a half-open hypersimplex. Zbl 1327.05016
Hibi, Takayuki; Li, Nan; Ohsugi, Hidefumi
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
10
2014
Many toric ideals generated by quadratic binomials possess no quadratic Gröbner bases. Zbl 1304.13040
Hibi, Takayuki; Nishiyama, Kenta; Ohsugi, Hidefumi; Shikama, Akihiro
8
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
5
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
3
2014
Edge rings satisfying Serre’s condition \((R_{1})\). Zbl 1306.13015
Hibi, Takayuki; Katthän, Lukas
1
2014
Toric ideals of finite graphs and adjacent 2-minors. Zbl 1298.14058
Ohsugi, Hidefumi; Hibi, Takayuki
1
2014
Gröbner bases. Statistics and software systems. Transl. from the Japanese. Zbl 1282.13003
Hibi, Takayuki
14
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
3
2013
The join-meet ideal of a finite lattice. Zbl 1276.13020
Ene, Viviana; Hibi, Takayuki
2
2013
Separating hyperplanes of edge polytopes. Zbl 1255.05123
Hibi, Takayuki; Li, Nan; Zhang, Yan X.
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
Ideals generated by adjacent 2-minors. Zbl 1267.13046
Herzog, Jürgen; Hibi, Takayuki
5
2012
Hermite normal forms and \(\delta \)-vectors. Zbl 1242.05012
Hibi, Takayuki; Higashitani, Akihiro; Li, Nan
4
2012
Finite lattices and Gröbner bases. Zbl 1260.13033
Herzog, Jürgen; Hibi, Takayuki
4
2012
Monomial ideals. Zbl 1206.13001
Herzog, Jürgen; Hibi, Takayuki
274
2011
Cohen-Macaulay binomial edge ideals. Zbl 1236.13011
Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki
40
2011
Roots of Ehrhart polynomials arising from graphs. Zbl 1229.05122
Matsui, Tetsushi; Higashitani, Akihiro; Nagazawa, Yuuki; Ohsugi, Hidefumi; Hibi, Takayuki
13
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
7
2011
Ehrhart polynomials of convex polytopes with small volumes. Zbl 1210.52008
Hibi, Takayuki; Higashitani, Akihiro; Nagazawa, Yuuki
3
2011
Roots of Ehrhart polynomials of Gorenstein Fano polytopes. Zbl 1230.52027
Hibi, Takayuki; Higashitani, Akihiro; Ohsugi, Hidefumi
2
2011
Smooth Fano polytopes arising from finite partially ordered sets. Zbl 1242.52015
Hibi, Takayuki; Higashitani, Akihiro
2
2011
Binomial edge ideals and conditional independence statements. Zbl 1196.13018
Herzog, Jürgen; Hibi, Takayuki; Hreinsdóttir, Freyja; Kahle, Thomas; Rauh, Johannes
74
2010
Non-very ample configurations arising from contingency tables. Zbl 1440.13092
Ohsugi, Hidefumi; Hibi, Takayuki
5
2010
Toric rings and ideals of nested configurations. Zbl 1237.13053
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
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
5
2009
Vertex cover algebras of unimodular hypergraphs. Zbl 1159.13002
Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt
3
2009
Two way subtable sum problems and quadratic Gröbner bases. Zbl 1162.13012
Ohsugi, Hidefumi; Hibi, Takayuki
3
2009
Standard graded vertex cover algebras, cycles and leaves. Zbl 1155.13003
Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt; Zheng, Xinxian
27
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
8
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
Gröbner bases of nested configurations. Zbl 1152.14047
Aoki, Satoshi; Hibi, Takayuki; Ohsugi, Hidefumi; Takemura, Akimichi
7
2008
Componentwise linear ideals with minimal or maximal Betti numbers. Zbl 1167.13009
Herzog, Jürgen; Hibi, Takayuki; Murai, Satoshi; Takayama, Yukihide
4
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
1
2008
Symbolic powers of monomial ideals and vertex cover algebras. Zbl 1112.13006
Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô Viêt
57
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; Hibi, Takayuki; Maclagan, Diane
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
34
2006
Cohen-Macaulay polymatroidal ideals. Zbl 1095.13008
Herzog, Jürgen; Hibi, Takayuki
19
2006
Special simplices and Gorenstein toric rings. Zbl 1095.13023
Ohsugi, Hidefumi; Hibi, Takayuki
19
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
3
2006
Gin and lex of certain monomial ideals. Zbl 1130.13008
Murai, Satoshi; Hibi, Takayuki
3
2006
...and 79 more Documents
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Cited by 920 Authors

128 Hibi, Takayuki
78 Herzog, Jürgen
34 Ohsugi, Hidefumi
31 Higashitani, Akihiro
29 Seyed Fakhari, Seyed Amin
26 Hà, Huy Tài
26 Terai, Naoki
26 Tsuchiya, Akiyoshi
25 Van Tuyl, Adam
25 Yassemi, Siamak
24 Murai, Satoshi
19 Ene, Viviana
19 Trung, Trân Nam
18 Mohammadi, Fatemeh
18 Ngô Viêt Trung
18 Villarreal, Rafael Heraclio
16 Peeva, Irena V.
16 Römer, Tim
15 Francisco, Christopher A.
15 Rinaldo, Giancarlo
15 Takemura, Akimichi
14 Crupi, Marilena
14 Madani, Sara Saeedi
14 Matsuda, Kazunori
14 Nagel, Uwe
14 Nguyen, Dang Hop
13 Moradi, Somayeh
12 Qureshi, Ayesha Asloob
12 Yanagawa, Kohji
11 Katthän, Lukas
11 Kumar, Arvind
11 Morey, Susan E.
11 Sharifan, Leila
11 Thoma, Apostolos
11 Varbaro, Matteo
10 Bigdeli, Mina
10 Jahan, Ali Soleyman
10 Kimura, Kyouko
10 Nasernejad, Mehrdad
10 Welker, Volkmar
10 Zheng, Xinxian
9 Aoki, Satoshi
9 Braun, Benjamin
9 Conca, Aldo
9 Jayanthan, A. V.
9 Kiani, Dariush
9 Michałek, Mateusz
9 Reyes, Enrique
9 Vladoiu, Marius
8 Lu, Dancheng
8 Pournaki, Mohammad Reza
8 Selvaraja, S.
8 Shen, Yihuang
8 Sturmfels, Bernd
8 Zhu, Guangjun
7 Banerjee, Arindam
7 Beck, Matthias
7 Gasharov, Vesselin N.
7 Hoang, Do Trong
7 Kahle, Thomas
7 Katsabekis, Anargyros
7 Lê Tuâń Hoa
7 Mermin, Jeffrey
7 Miyazaki, Mitsuhiro
7 Nguyen Cong Minh
7 Rahmati, Farhad
7 Sáenz de Cabezón Irigaray, Eduardo
7 Simis, Aron
7 Solus, Liam T.
7 Stapledon, Alan
6 Aramova, Annetta G.
6 Bayati, Shamila
6 Caviglia, Giulio
6 Constantinescu, Alexandru
6 Favacchio, Giuseppe
6 Goodarzi, Afshin
6 Haase, Christian Alexander
6 Jafari, Raheleh
6 Khosh-Ahang, Fahimeh
6 La Barbiera, Monica
6 Lasoń, Michał
6 Montaño, Jonathan
6 Rahmati-Asghar, Rahim
6 Santos, Francisco
6 Strazzanti, Francesco
6 Sullivant, Seth
6 Utano, Rosanna
6 Wu, Tongsuo
6 Yazdan Pour, Ali Akbar
6 Yoshida, Ken-ichi
6 Zaare-Nahandi, Rashid
6 Zanello, Fabrizio
5 Bandari, Somayeh
5 Biermann, Jennifer
5 Boocher, Adam
5 Brown, Jason Ira
5 Charalambous, Hara
5 Cid-Ruiz, Yairon
5 De Loera, Jesús A.
5 Fourier, Ghislain
...and 820 more Authors
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Cited in 171 Serials

120 Journal of Algebra
103 Communications in Algebra
76 Journal of Pure and Applied Algebra
72 Journal of Algebraic Combinatorics
48 Proceedings of the American Mathematical Society
41 Journal of Combinatorial Theory. Series A
38 Journal of Algebra and its Applications
34 The Electronic Journal of Combinatorics
32 Journal of Commutative Algebra
30 European Journal of Combinatorics
27 Discrete Mathematics
25 Advances in Mathematics
25 Transactions of the American Mathematical Society
19 Advances in Applied Mathematics
18 Acta Mathematica Vietnamica
17 Nagoya Mathematical Journal
17 Discrete & Computational Geometry
16 Annals of Combinatorics
15 Collectanea Mathematica
14 Archiv der Mathematik
14 Mathematische Zeitschrift
13 International Journal of Algebra and Computation
13 Algebra Colloquium
11 Illinois Journal of Mathematics
11 Journal of Symbolic Computation
10 Manuscripta Mathematica
10 Graphs and Combinatorics
9 Rocky Mountain Journal of Mathematics
8 Order
8 SIAM Journal on Discrete Mathematics
8 Algebraic Combinatorics
7 Israel Journal of Mathematics
7 Experimental Mathematics
6 Mathematical Notes
6 Annals of the Institute of Statistical Mathematics
6 Bulletin of the Iranian Mathematical Society
6 Turkish Journal of Mathematics
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Arkiv för Matematik
5 Mathematische Annalen
5 Mathematische Nachrichten
5 Mathematica Scandinavica
5 Osaka Journal of Mathematics
5 Results in Mathematics
5 Combinatorica
5 Designs, Codes and Cryptography
5 Linear Algebra and its Applications
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Bulletin of the Australian Mathematical Society
4 Beiträge zur Algebra und Geometrie
4 Compositio Mathematica
4 Czechoslovak Mathematical Journal
4 Michigan Mathematical Journal
4 Semigroup Forum
4 Selecta Mathematica. New Series
4 Boletín de la Sociedad Matemática Mexicana. Third Series
4 International Electronic Journal of Algebra (IEJA)
3 Duke Mathematical Journal
3 Journal of the Korean Mathematical Society
3 Journal of Multivariate Analysis
3 Tohoku Mathematical Journal. Second Series
3 Acta Mathematica Hungarica
3 Applicable Algebra in Engineering, Communication and Computing
3 Proceedings of the Steklov Institute of Mathematics
3 Transactions on Combinatorics
3 European Journal of Mathematics
3 SIAM Journal on Applied Algebra and Geometry
2 Mathematics of Computation
2 Annales de l’Institut Fourier
2 Canadian Mathematical Bulletin
2 Glasgow Mathematical Journal
2 Journal of Combinatorial Theory. Series B
2 Mathematika
2 Memoirs of the American Mathematical Society
2 Proceedings of the Japan Academy. Series A
2 Proceedings of the London Mathematical Society. Third Series
2 Theoretical Computer Science
2 Transactions of the Moscow Mathematical Society
2 Forum Mathematicum
2 Journal of the Ramanujan Mathematical Society
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 Advances in Geometry
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Discrete Optimization
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Kyoto Journal of Mathematics
2 Mathematics
2 Journal of Algebraic Systems
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 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
...and 71 more Serials
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Cited in 40 Fields

914 Commutative algebra (13-XX)
589 Combinatorics (05-XX)
210 Convex and discrete geometry (52-XX)
191 Algebraic geometry (14-XX)
91 Order, lattices, ordered algebraic structures (06-XX)
52 Associative rings and algebras (16-XX)
35 Group theory and generalizations (20-XX)
33 Statistics (62-XX)
30 Algebraic topology (55-XX)
21 Computer science (68-XX)
18 Operations research, mathematical programming (90-XX)
17 Number theory (11-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
13 Manifolds and cell complexes (57-XX)
13 Information and communication theory, circuits (94-XX)
12 Probability theory and stochastic processes (60-XX)
11 Nonassociative rings and algebras (17-XX)
10 Several complex variables and analytic spaces (32-XX)
8 Geometry (51-XX)
8 Numerical analysis (65-XX)
7 Special functions (33-XX)
4 Field theory and polynomials (12-XX)
4 Category theory; homological algebra (18-XX)
4 Real functions (26-XX)
3 Mathematical logic and foundations (03-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)
2 Biology and other natural sciences (92-XX)
1 \(K\)-theory (19-XX)
1 Functions of a complex variable (30-XX)
1 Ordinary differential equations (34-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)
1 Mechanics of particles and systems (70-XX)
1 Statistical mechanics, structure of matter (82-XX)

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