Publications

Facet numbers of non-centrally symmetric reflexive polytopes arising from posets

(with A. Mori and K. Mori)

Discrete & Computational Geometry (2026), published online 31 August 2026.

On the Ehrhart theory of generalized symmetric edge polytopes

(with R. Davis and A. Higashitani)

Annals of Combinatorics 30 (2026), 601–634.

Toric ideals of matching polytopes and edge colorings

(with K. Mori, R. Motomura and A. Tsuchiya)

Mathematika 72 (2026), no. 2, e70099.

Kempe equivalence and quadratic toric rings

(with A. Tsuchiya)

Journal of Pure and Applied Algebra 230 (2026), no. 5, 108257.

Examining Kempe equivalence via commutative algebra

(with A. Tsuchiya)

Electronic Journal of Combinatorics 33 (2026), no. 1, P1.8.

Gröbner fans of Specht ideals

(with K. Yanagawa)

Journal of Algebra and Its Applications 25 (2026), no. 8, 2650172.

Number of facets of symmetric edge polytopes arising from join graphs

(with A. Mori, K. Mori)

European Journal of Combinatorics 127 (2025), 104165.

Perfectly contractile graphs and quadratic toric rings

(with K. Shibata and A. Tsuchiya)

Bulletin of the London Mathematical Society, 55 (2023) 1264-1274

The number of 4-cycles and the cyclomatic number of a finite simple graph

(with T. Hibi and A. Mori)

The Australasian Journal of Combinatorics 85 (2023), 15-34.

PQ-type adjacency polytopes of join graphs

(with A. Tsuchiya)

Discrete and Computational Geometry 70 (2023) 214-235

A note on the reducedness and Gröbner bases of Specht ideals

(with S. Murai and K. Yanagawa)

Communications in Algebra 50 (2022), 5430-5434.

Edge rings with q-linear resolutions

(with K. Mori and A. Tsuchiya)

Journal of Algebra 593 (2022), 550-567.

Quadratic Gröbner bases of block diagonal matching field ideals and toric degenerations of Grassmannians

(with A. Higashitani)

Journal of Pure and Applied Algebra 226 (2022), 106821.

Symmetric edge polytopes and matching generating polynomials

(with A. Tsuchiya)

Combinatorial Theory 1 (2021) #9.

The h*-polynomials of locally anti-blocking lattice Polytopes and their \gamma-positivity

(with A. Tsuchiya)

Discrete and Computational Geometry 66 (2021), 701-722.

Enriched order polytopes and enriched Hibi rings

(with A. Tsuchiya)

European Journal of Mathematics 7 (2021), 48-68.

Integer decomposition property for Cayley sums of order and stable set polytopes

(with T. Hibi and A. Tsuchiya)

Michigan Mathematical Journal 69 (2020), 765-778.

Reflexive polytopes arising from bipartite graphs with \gamma-positivity associated to interior polynomials

(with A. Tsuchiya)

Selecta Mathematica. New Series 26 (2020) Article number:59

Toric ideals of Minkowski sums of unit simplices

(with A. Higashitani)

Algebraic Combinatorics 3 (2020) 831-837.

Nef-partitions arising from unimodular configurations

(with A. Tsuchiya)

Mathematische Nachrichten 293 (2020), 1791-1800.

Enriched chain polytopes

(with A. Tsuchiya)

Israel Journal of Mathematics 237 (2020), 485-500

Toric rings and ideals of stable set polytopes

(with K. Matsuda and K. Shibata)

Mathematics 7 (2019), 613 (electronic).

Ehrhart series of fractional stable set polytopes of finite graphs

(with G. Hamano and T. Hibi)

Annals of Combinatorics 22 (2018), 563-573

Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes

(with T. Hibi)

Journal of Commutative Algebra 10 (2018), 171-186.

A Gröbner basis characterization for chordal comparability graphs

(with T. Hibi)

European Journal of Combinatorics 59 (2017), 122-128.

Reverse lexicographic Gröbner bases and strongly Koszul toric rings

(with K. Matsuda)

Mathematica Scandinavica 119 (2016), 161-168.

The number of edges of the edge polytope of a finite simple graph

(with T. Hibi, A. Mori and A. Shikama)

ARS Mathematica Contemporanea 10 (2016) 323-332.

Markov chain Monte Carlo methods for the Box-Behnken designs and centrally symmetric configurations

(with S. Aoki and T. Hibi)

Journal of Statistical Theory and Practice 10 (2016), no. 1, 59-72.

Strongly Koszul edge rings

(with T. Hibi and K. Matsuda)

Acta Mathematica Vietnamica 41 (2016), no. 1, 69-76.

Centrally symmetric configurations of order polytopes

(with T. Hibi, K. Matsuda and K. Shibata)

Journal of Algebra 443 (2015), 469-478.

The face vectors of a half-open hypersimplex

(with T. Hibi and N. Li)

Journal of Integer Sequences 18 (2015), Article 15.6.6 (electronic).

Centrally symmetric configurations of integer matrices

(with T. Hibi)

Nagoya Mathematical Journal 216 (2014), 153-170.

Toric ideals of finite graphs and adjacent 2-minors

(with T. Hibi)

Mathematica Scandinavica 114 (2014) 185-190.

Many toric ideals generated by quadratic binomials possess no quadratic Gröbner bases

(with T. Hibi, K. Nishiyama and A. Shikama)

Journal of Algebra 408 (2014), 138–146.

Gorenstein cut polytopes

European J. Combin. 38 (2014), 122–129.

Roots of the Ehrhart polynomial of hypersimplices

(with K. Shibata)

Comment. Math. Univ. St. Pauli 62 (2013) 91–108.

Markov chain Monte Carlo methods for the regular two-level fractional factorial designs and cut ideals

(with S. Aoki and T. Hibi)

Journal of Statistical Planning and Inference 143, Issue 10 (2013) 1791-1806.

Toric ideals and their circuits

(with T. Hibi)

Journal of Commutative Algebra 5 Number 2, (2013) 309-322.

Smooth Fano polytopes whose Ehrhart polynomial has a root with large real part

(with K. Shibata)

Discrete and Computational Geometry 47 (2012), 624-628.

Roots of Ehrhart polynomials arising from graphs

(with T. Matsui, A. Higashitani, Y. Nagazawa and T. Hibi)

Journal of Algebraic Combinatorics 34 (2011), 721-749.

Roots of Ehrhart polynomials of Gorenstein Fano polytopes

(with T. Hibi and A. Higashitani)

Proceedings of the American Mathematical Society 139 (2011), 3727-3734.

Toric rings and ideals of nested configurations

(with T. Hibi)

Journal of Commutative Algebra 2 (2010), 187-208.

Non-very ample configurations arising from contingency tables

(with T. Hibi)

Annals of the Institute of Statistical Mathematics 62 (2010), 639-644.

Markov basis and Gröbner basis of Segre-Veronese configuration for testing independence in group-wise selections

(with S. Aoki, T. Hibi and A. Takemura)

Annals of the Institute of Statistical Mathematics 62 (2010), 299-321.

Normality of cut polytopes of graphs is a minor closed property

Discrete Mathematics 310 (2010), 1160-1166.

Unmixed bipartite graphs and sublattices of the Boolean lattices

(with J. Herzog and T. Hibi)

Journal of Algebraic Combinatorics 30 (2009), 415-420.

Two way subtable sum problems and quadratic Gröbner bases

(with T. Hibi)

Proceedings of the AMS 137 (2009) no.5, 1539-1542.

Gröbner bases of nested configurations

(with S. Aoki, T. Hibi and A. Takemura)

Journal of Algebra, 320 (2008) no. 6, 2583-2593.

A geometric definition of combinatorial pure subrings and Gröbner bases of toric ideals of positive roots

Comment. Math. Univ. St. Pauli, 56 (2007), no. 1, 27-44.

Gröbner bases of Hilbert ideals of alternating groups

(with T. Wada)

Journal of Symbolic Computation, 41 (2006), no. 8, 905-908.

The h-vector of a Gorenstein toric ring of a compressed polytope

(with T. Hibi)

Electron. J. Combin., 11 (2004/06), no. 2, Note 4, 5 pp. (electronic).

Special simplices and Gorenstein toric rings

(with T. Hibi)

Journal of Combinatorial Theory, Series A , 113 (2006), Issue 4, 718-725.

Indispensable binomials of finite graphs

(with T. Hibi)

Journal of algebra and its applications, 4 (2005), no. 4, 421-434.

Prestable ideals and Sagbi bases

(with T. Hibi)

Mathematica Scandinavica, 96 (2005), 22-30.

Castelnuovo-Mumford regularity and initial ideals with no embedded prime ideal

(with N. Terai and T. Hibi)

Acta Mathematica Vietnamica, 29 (2004), no. 2, 135-139.

Gröbner bases of certain zero-dimensional ideals arising in coding theory

(with D. Ikegami, T. Kitamura and T. Hibi)

Advances in Applied Mathematics, 31 (2003), 420-432.

Normalized volumes of configurations related with root systems and complete bipartite graphs

(with T. Hibi)

Discrete Mathematics, 268 (2003), 217-242.

Hamiltonian tournaments and Gorenstein rings

(with T. Hibi)

European J. Combinatorics, 23 (2002), 463-470.

Toric ideals and an infinite family of normal (0,1)-polytopes without unimodular regular triangulations

Discrete and Computational Geometry, 27 (2002), 551-565.

Quadratic initial ideals of root systems

(with T. Hibi)

Proceedings of the AMS, 130 (2002), 1913-1922.

Unimodular triangulations and coverings of configurations arising from root systems

(with T. Hibi)

J. Algebraic Combinatorics, 14 (2001),199-219.

Convex polytope all of whose reverse lexicographic initial ideals are squarefree

(with T. Hibi)

Proceedings of AMS, 129 (2001), No.9, 2541-2546.

Combinatorial pure subrings

(with J. Herzog and T. Hibi)

Osaka Journal of Mathematics 37 (2000), 745-757.

Compressed polytopes, initial ideals and complete multipartite graphs

(with T. Hibi)

Illinois Journal of Mathematics 44 (2000), 391-406.

Toric ideals generated by quadratic binomials

(with T. Hibi)

Journal of Algebra 218 (1999), 509-527.

Koszul bipartite graphs

(with T. Hibi)

Advances in Applied Mathematics 22 (1999), 25-28.

A normal (0,1)-polytope none of whose regular triangulations is unimodular

(with T. Hibi)

Discrete and Computational Geometry, 21 (1999), 201-204.

Normal polytopes arising from finite graphs

(with T. Hibi)

Journal of Algebra 207 (1998), 409-426.

The smallest normal edge polytopes with no regular unimodular triangulations

(with G. Hamano, T. Hayashi, T. Hibi, K. Hirayama, K. Sato, A. Shikama, and A. Tsuchiya)

in "Homological and Computational Methods in Commutative Algebra" (A. Conca, J. Gubeladze, T. Römer Eds.) Springer INdAM Series 20, Springer, Cham, 2017, pp. 163-172.

A dictionary of Gröbner bases of toric ideals

in ``Harmony of Gröbner Bases and the Modern Industrial Society'' (T. Hibi, Ed.) World Scientific, Singapore, 2012, pp. 253-281

Powers of componentwise linear ideals

(with J. Herzog and T. Hibi)

in ``Combinatorial Aspects of Commutative Algebra and Algebraic Geometry" (G. Floystad etc. ed.) Abel Symposia 6, 2011, pp. 49-60.

Simple polytopes arising from finite graphs

(with T. Hibi)

in ``Proceedings of the 2008 International Conference on Information Theory and Statistical Learning, Las Vegas", 2008, pp. 73-79.

Quadratic Gröbner bases arising from combinatorics

(with T. Hibi)

in ``Integer Points in Polyhedra - Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics" Contemporary Mathematics 452, American Mathematical Society, 2008, pp.123-138.

Toric ideals arising from contingency tables

(with T. Hibi)

in ``Commutative Algebra and Combinatorics" (W. Bruns Ed.), Ramanujan Mathematical Society Lecture Notes Series, Number 4, Ramanujan Math. Soc., Mysore, 2007, pp. 91-115.

Universal Gröbner bases, integer programming and finite graphs

(with T. Kitamura and T. Hibi)

in ``Commutative algebra, Singularities and Computer Algebra" (J. Herzog and V. Vuletescu, Eds.), Dekker, New York, 2003, pp. 179-190.

Hilbert functions of squarefree Veronese subrings

(with H. Nishida and T. Hibi)

in "Geometric and combinatorial aspects of commutative algebra" (G. Restuccia and J. Herzog, Eds.), Dekker, New york, 2000, pp. 289-299.

Unimodular regular triangulations of (0,1)-polytopes associated with finite graphs

in "Algebraic Engineering" (C. L. Nehaniv and M. Ito, Eds.), World Scientific, Singapore, 1999, pp. 159-171.

Quadratic Gröbner bases for cut ideals of cycles and ring graphs

arXiv:2609.11512

A matroidal criterion for flow polytopes to be order polytopes

(with A. Higashitani)

arXiv:2607.25426

Simplex faces and quadratic toric ideals of lattice polytopes

(with A. Mori)

arXiv:2606.20430

Algebraic aspects of unconditional lattice polytopes

(with K. Mori, R. Motomura and A. Tsuchiya)

arXiv:2605.19586