Accepted papers (2025/4/23)

Journals

1. Number of facets of symmetric edge polytopes arising from join graphs (with A. Mori, K. Mori)
• European Journal of Combinatorics, To Appear
2. Gröbner bases of Specht ideals (with K. Yanagawa)
• Journal of Algebra and Its Applications, Published Online
3. Perfectly contractile graphs and quadratic toric rings (with K. Shibata and A. Tsuchiya)
• Bulletin of the London Mathematical Society, 55 (2023) 1264-1274
4. 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.
5. PQ-type adjacency polytopes of join graphs (with A. Tsuchiya)
• Discrete and Computational Geometry, 70 (2023) 214-235
6. A note on the reducedness and Gröbner bases of Specht ideals (with S. Murai and K. Yanagawa)
• Communications in Algebra, 50 (2022), 5430-5434.
7. Edge rings with q-linear resolutions (with K. Mori and A. Tsuchiya)
• Journal of Algebra 593 (2022), 550-567.
8. Quadratic Gröbner bases of block diagonal matching field ideals and toric degenerations of Grassmannians (with A. Higashitani)
• J. Pure Appl. Algebra 226 (2022), 106821.
9. Symmetric edge polytopes and matching generating polynomials (with A. Tsuchiya)
• Combinatorial Theory 1 (2021) #9.
10. The h*-polynomials of locally anti-blocking lattice Polytopes and their \gamma-positivity (with A. Tsuchiya)
• Discrete and Computational Geometry 66 (2021), 701-722.
11. Enriched order polytopes and enriched Hibi rings (with A. Tsuchiya)
• European Journal of Mathematics 7 (2021), 48-68.
12. 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.
13. 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
14. Toric ideals of Minkowski sums of unit simplices (with A. Higashitani)
• Algebraic Combinatorics 3 (2020) 831-837.
15. Nef-partitions arising from unimodular configurations (with A. Tsuchiya)
• Mathematische Nachrichten 293 (2020), 1791-1800.
16. Enriched chain polytopes (with A. Tsuchiya)
• Israel Journal of Mathematics 237 (2020), 485-500
17. Toric rings and ideals of stable set polytopes (with K. Matsuda and K. Shibata)
• Mathematics 7 (2019), 613 (electronic).
18. Ehrhart series of fractional stable set polytopes of finite graphs (with G. Hamano and T. Hibi)
    • Annals of Combinatorics 22 (2018), 563-573
19. Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes (with T. Hibi)
• Journal of Commutative Algebra 10 (2018), 171-186.
20. A Gröbner basis characterization for chordal comparability graphs (with T. Hibi)
• European Journal of Combinatorics 59 (2017), 122-128.
21. Reverse lexicographic Gröbner bases and strongly Koszul toric rings (with K. Matsuda)
• Mathematica Scandinavica 119 (2016), 161-168.
22. 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.
23. 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.
24. Strongly Koszul edge rings (with T. Hibi and K. Matsuda)
• Acta Mathematica Vietnamica 41 (2016), no. 1, 69-76.
25. Centrally symmetric configurations of order polytopes (with T. Hibi, K. Matsuda and K. Shibata)
• Journal of Algebra 443 (2015), 469-478.
26. 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).
27. Centrally symmetric configurations of integer matrices (with T. Hibi )
• Nagoya Mathematical Journal 216 (2014), 153-170.
28. Toric ideals of finite graphs and adjacent 2-minors (with T. Hibi )
• Mathematica Scandinavica 114 (2014) 185--190.
29. 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.
30. Gorenstein cut polytopes
• European J. Combin. 38 (2014), 122–129.
31. Roots of the Ehrhart polynomial of hypersimplices (with K. Shibata)
• Comment. Math. Univ. St. Pauli 62 (2013) 91–108.
32. 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.
33. Toric ideals and their circuits (with T. Hibi)
• Journal of Commutative Algebra 5 Number 2, (2013) 309--322.
34. Smooth Fano polytopes whose Ehrhart polynomial has a root with large real part (with K. Shibata)
• Discrete and Computational Geometry 47 (2012), 624--628.
35. 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.
36. Roots of Ehrhart polynomials of Gorenstein Fano polytopes (with T. Hibi and A. Higashitani)
• Proceedings of the American Mathematical Society 139 (2011), 3727--3734.
37. Toric rings and ideals of nested configurations (with T. Hibi)
• Journal of Commutative Algebra 2 (2010), 187--208.
38. Non-very ample configurations arising from contingency tables (with T. Hibi)
• Annals of the Institute of Statistical Mathematics 62 (2010), 639-644.
39. 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.
40. Normality of cut polytopes of graphs is a minor closed property
• Discrete Mathematics 310 (2010), 1160--1166.
41. Unmixed bipartite graphs and sublattices of the Boolean lattices (with J. Herzog and T. Hibi)
• Journal of Algebraic Combinatorics 30 (2009), 415--420.
42. Two way subtable sum problems and quadratic Gröbner bases (with T. Hibi)
• Proceedings of the AMS 137 (2009) no. 5, 1539--1542.
43. Gröbner bases of nested configurations (with S. Aoki, T. Hibi and A. Takemura)
• Journal of Algebra, 320 (2008) no. 6, 2583--2593.
44. 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.
45. Gröbner bases of Hilbert ideals of alternating groups (with T. Wada)
• Journal of Symbolic Computation, 41 (2006), no. 8, 905--908.
46. 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).
47. Special simplices and Gorenstein toric rings (with T. Hibi)
• Journal of Combinatorial Theory, Series A , 113 (2006), Issue 4, 718--725.
48. Indispensable binomials of finite graphs (with T. Hibi)
• Journal of algebra and its applications, 4 (2005), no. 4, 421--434.
49. Prestable ideals and Sagbi bases (with T. Hibi)
• Mathematica Scandinavica, 96 (2005), 22-30.
50. 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.
51. 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.
52. Normalized volumes of configurations related with root systems and complete bipartite graphs (with T. Hibi)
• Discrete Mathematics, 268 (2003), 217-242.
53. Hamiltonian tournaments and Gorenstein rings (with T. Hibi)
• European J. Combinatorics, 23 (2002), 463-470.
54. Toric ideals and an infinite family of normal (0,1)-polytopes without unimodular regular triangulations
• Discrete and Computational Geometry, 27 (2002), 551-565.
55. Quadratic initial ideals of root systems (with T. Hibi)
• Proceedings of the AMS, 130 (2002), 1913-1922.
56. Unimodular triangulations and coverings of configurations arising from root systems (with T. Hibi)
• J. Algebraic Combinatorics, 14 (2001),199-219.
57. Convex polytopes all of whose reverse lexicographic initial ideals are squarefree (with T. Hibi)
• Proceedings of AMS, 129 (2001), No.9, 2541-2546.
58. Combinatorial pure subrings (with J. Herzog and T. Hibi)
• Osaka Journal of Mathematics 37 (2000), 745-757.
59. Compressed polytopes, initial ideals and complete multipartite graphs (with T. Hibi)
• Illinois Journal of Mathematics 44 (2000), 391-406.
60. Toric ideals generated by quadratic binomials (with T. Hibi)
• Journal of Algebra 218 (1999), 509-527.
61. Koszul bipartite graphs (with T. Hibi)
• Advances in Applied Mathematics 22 (1999), 25-28.
62. A normal (0,1)-polytope none of whose regular triangulations is unimodular (with T. Hibi)
• Discrete and Computational Geometry, 21 (1999), 201-204.
63. Normal polytopes arising from finite graphs (with T. Hibi)
• Journal of Algebra 207 (1998), 409-426.

Refereed Proceedings

1. 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.
2. 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.
3. 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.
4. 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.
5. 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.
6. 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.
7. 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.
8. 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.
9. 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.

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