Akiyoshi Tsuchiya

Preprints:

1. Akiyoshi Tsuchiya
   Gorenstein Simplices and Even Binary Self-Complementary Codes
   arXiv:2604.15005, 19 pages
2. Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka and Akiyoshi Tsuchiya
   Uniform bases for ideal arrangements
   arXiv:1912.02448, 37 pages

Publications:

1. Kenta Mori, Ryo Motomura, H. Ohsugi and Akiyoshi Tsuchiya
   Toric ideals of matching polytopes and edge colorings
   to appear in Mathematika
   (arXiv:2501.19209)
2. Takayuki Hibi, Kazunori Matsuda and Akiyoshi Tsuchiya
   Gorenstein Fano polytopes arising from order polytopes and chain polytopes
   to appear in J. Commut. Algebra
   (arXiv:1507.03221)
3. Hidefumi Ohsugi and Akiyoshi Tsuchiya
   Kempe equivalence and quadratic toric rings
   J. Pure Appl. Algebra 230 (2026), 108257 (Open Access)
4. Hidefumi Ohsugi and Akiyoshi Tsuchiya
   Examining Kempe equivalence via commutative algebra
   Electron. J. Combin. 33 (2026), #P1. 8 (Open Access)
5. Koji Matsushita and Akiyoshi Tsuchiya
   Codegree and regularity of stable set polytopes
   Algebr. Comb. 8 (2025), 1743--1751 (Open Access)
6. Soichi Okada and Akiyoshi Tsuchiya
   Two enriched poset polytopes
   Ann. Comb. 28 (2024), 257--282
   (arXiv:2003.12271)
7. Akiyoshi Tsuchiya
   Castelnuovo polytopes
   Michigan Math. J. 73 (2023), 899--908
   (arXiv:2010.13617)
8. Akiyoshi Tsuchiya
   Cayley sums and Minkowski sums of lattice polytopes
   SIAM J. Discrete Math. 37 (2023), 1348--1357
   (arXiv:1804.10538)
9. Hidefumi Ohsugi and Akiyoshi Tsuchiya
   PQ-type adjacency polytopes of join graphs
   Discrete Comput. Geom. 70 (2023), 214--235 (Open Access)
   
10. Hidefumi Ohsugi, Kazuki Shibata and Akiyoshi Tsuchiya
    Perfectly contractile graphs and quadratic toric rings
    Bull. Lond. Math. Soc. 55 (2023), 1264--1274 (Open Access)
    
11. Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka and Akiyoshi Tsuchiya
    An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties
    Transform. Groups 28 (2023), 695--732
    (arXiv:1912.11763)
12. Selvi Kara, Irem Portakal and Akiyoshi Tsuchiya
    Rigid Gorenstein toric Fano varieties arising from directed graphs
    Collect. Math. 74 (2023), 333--351 (Open Access)
    
13. Kenta Mori, Hidefumi Ohsugi and Akiyoshi Tsuchiya
    Edge rings with q-linear resolutions
    J. Algebra 593 (2022), 550--567 (Open Access)
    
14. Hidefumi Ohsugi and Akiyoshi Tsuchiya
    Symmetric edge polytopes and matching generating polynomials
    Comb. Theory 1 (2021), #9 (Open Access)
    
15. Tan Nhat Tran and Akiyoshi Tsuchiya
    Worpitzky-compatible subarrangements of braid arrangements and cocomparability graphs
    C. R. Math. Acad. Sci. Paris 359 (2021), 665--674 (Open access)
    
16. Akiyoshi Tsuchiya
    Edge rings of bipartite graphs with linear resolutions
    J. Algebra Appl. 20 (2021), 2150163
    (arXiv:1908.05678)
17. Takayuki Hibi, Kyouko Kimura, Kazunori Matsuda and Akiyoshi Tsuchiya
    Regularity and a-invariant of Cameron--Walker graphs
    J. Algebra 584 (2021), 215--242 (Open Access)
    
18. Hidefumi Ohsugi and Akiyoshi Tsuchiya
    The h^*-polynomials of locally anti-blocking lattice polytopes and their γ-positivity
    Discrete Comput. Geom. 66 (2021), 701--722 (Open Access)
    
19. Akihiro Higashitani, Benjamin Nill and Akiyoshi Tsuchiya
    Gorenstein polytopes with trinomial h^*-polynomials
    Beitr. Algebra Geom. 62 (2021), 667--685
    (arXiv:1503.05685)
20. Hidefumi Ohsugi and Akiyoshi Tsuchiya
    Enriched order polytopes and enriched Hibi rings
    Eur. J. Math. 7 (2021), 48--68 (Open Access)
21. Takayuki Hibi, Hidefumi Ohsugi and Akiyoshi Tsuchiya
    Integer decomposition property for Cayley sums of order and stable set polytopes
    Michigan Math. J. 69 (2020), 765--778 (Open Access)
    
22. Hidefumi Ohsugi and Akiyoshi Tsuchiya
    Nef-partitions arising from unimodular configurations
    Math. Nachr. 293 (2020), 1791--1800 (Open Access)
23. Hidefumi Ohsugi and Akiyoshi Tsuchiya
    Reflexive polytopes arising from bipartite graphs with γ-positivity associated to interior polynomials
    Selecta Math. (N.S.) 26 (2020), 59 (Open Access)
24. Christian Haase, Florian Kohl and Akiyoshi Tsuchiya
    Levelness of Order Polytopes
    SIAM J. Discrete Math. 34 (2020), 1261--1280
    (arXiv:1805.02967)
25. Hidefumi Ohsugi and Akiyoshi Tsuchiya
    Enriched chain polytopes
    Israel. J. Math. 237 (2020), 485--500
    (arXiv:1812.02097)
26. Takayuki Hibi and Akiyoshi Tsuchiya
    Classification of lattice polytopes with small volumes
    J. Comb. 11 (2020), 495--509 (Open Access)
    
27. Takayuki Hibi and Akiyoshi Tsuchiya
    Odd cycles and Hilbert functions of their toric rings
    Mathematics 8 (2020), 22 (Open Access)
    
28. Takayuki Hibi, Akiyoshi Tsuchiya and Koutarou Yoshida
    Gorenstein simplices with a given δ-polynomial
    Discrete Math. 342 (2019), 111619 (Open Access)
    
29. Takayuki Hibi and Akiyoshi Tsuchiya
    The depth of a reflexive polytope
    Arch. Math. (Basel) 113 (2019), 265--272
    (arXiv:1805.12446)
30. Takayuki Hibi, Kazunori Matsuda and Akiyoshi Tsuchiya
    Edge rings with 3-linear resolutions
    Proc. Amer. Math. Soc. 147 (2019), 3225--3232 (Open Access)
    
31. Fu Liu and Akiyoshi Tsuchiya
    Stanley's non-Ehrhart-positive order polytopes
    Adv. in Appl. Math. 108 (2019), 1--10 (Open Access)
    
32. Takayuki Hibi and Akiyoshi Tsuchiya
    Reflexive polytopes arising from partially ordered sets and perfect graphs
    J. Algebraic Combin. 49 (2019), 69--81 (Open Access)
    
33. Akiyoshi Tsuchiya
    Ehrhart polynomials of lattice polytopes with normalized volumes 5
    J. Comb. 10 (2019), 283--290 (Open Access)
    
34. Takayuki Hibi, Akihiro Higashitani, Akiyoshi Tsuchiya and Koutarou Yoshida
    Ehrhart polynomials with negative coefficients
    Graphs Combin. 35 (2019), 363--371
    (arXiv:1506.00467)
35. Takayuki Hibi, Nan Li, Teresa Xueshan Li, Lili Mu and Akiyoshi Tsuchiya
    Order-Chain Polytopes
    Ars Math. Contemp. 16 (2019), 299--317 (Open Access)
    
36. Takayuki Hibi, McCabe Olsen and Akiyoshi Tsuchiya
    Gorenstein properties and integer decomposition properties of lecture hall polytopes
    Mosc. Math. J. 18 (2018), 667--679
    (arXiv:1608.03934)
37. Gabriele Balletti, Takayuki Hibi, Marie Meyer and Akiyoshi Tsuchiya
    Laplacian simplices associated to digraphs
    Ark. Mat. 56 (2018), 243--264 (Open Access)
    
38. Akiyoshi Tsuchiya
    Volume, facets and dual polytopes of twinned chain polytopes
    Ann. Comb. 22 (2018), 875--884
    (arXiv:1512.08332)
39. Takahiro Nagaoka and Akiyoshi Tsuchiya
    Reflexive polytopes arising from edge polytopes
    Linear Algebra Appl. 557 (2018), 438--454 (Open Access)
    
40. Takayuki Hibi and Akiyoshi Tsuchiya
    Reflexive polytopes arising from perfect graphs
    J. Combin. Theory Ser. A 157 (2018), 233--246 (Open Access)
    
41. Kazunori Matsuda, Tao Suzuki and Akiyoshi Tsuchiya
    Nonincreasing depth functions of monomial ideals
    Glasg. Math. J. 60 (2018), 505--511 (Open Access)
    
42. Akiyoshi Tsuchiya
    Gorenstein simplices and the associated finite abelian groups
    European J. Combin. 67 (2018), 145--157 (Open Access)
    
43. Takayuki Hibi, McCabe Olsen and Akiyoshi Tsuchiya
    Self dual reflexive simplices with Eulerian polynomials
    Graphs Combin. 33 (2017), 1401--1404
    (arXiv:1607.04871)
44. Takayuki Hibi and Akiyoshi Tsuchiya
    Facets and volume of Gorenstein Fano polytopes
    Math. Nachr. 290 (2017), 2619--2628
    (arXiv:1606.03566)
45. Takayuki Hibi, Kazunori Matsuda and Akiyoshi Tsuchiya
    Quadratic Gröbner bases arising from partially ordered sets
    Math. Scand. 121 (2017), 19--25 (Open Access)
    
46. Takayuki Hibi and Akiyoshi Tsuchiya
    Flat δ-vectors and their Ehrhart polynomials
    Arch. Math. (Basel) 108 (2017), 151--157
    (arXiv:1604.02505)
47. Akiyoshi Tsuchiya
    The δ-vectors of reflexive polytopes and of the dual polytopes
    Discrete Math. 339 (2016), 2450--2456 (Open Access)
    
48. Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura and Akiyoshi Tsuchiya
    Dominating induced matching of finite graphs and regularity of edge ideals
    J. Algebraic Combin. 43 (2016), 173--198
    (arXiv:1412.3881)
49. Akiyoshi Tsuchiya
    Best possible lower bounds on the coefficients of Ehrhart polynomials
    European J. Combin. 51 (2016), 297--305 (Open Access)
    
50. Takayuki Hibi, Miyuki Nakamura, Ivana Natalia Kristantyo Samudro and Akiyoshi Tsuchiya
    Pick's fomula and generalized Ehrhart quasi-polynomials
    J. Indones. Math. Soc. 21 (2015), 71--75 (Open Access)

Books:

1. Takayuki Hibi and Akiyoshi Tsuchiya, editors
   Algebraic and Geometric Combinatorics on Lattice Polytopes
   World Scientific, 2019

Books(Japanese):

1. 大杉英史，土谷昭善
   グレブナー基底と代数多様体入門 原書4版
   丸善出版，2023年

Refereed Proceedings

1. Akiyoshi Tsuchiya
   The reflexive dimension of (0,1)-polytopes
   in "Interactions with Lattice Polytopes" (A. M. Kasprzyk, B. Nill Eds.), Springer Proceedings in Mathematics & Statistics 386 (2022), 351--364
2. Takayuki Hibi and Akiyoshi Tsuchiya
   Depth of an initial ideal
   in "Combinatorial structures in algebra and geometry" (D. I. Stamate, T. Szemberg Eds.), Springer Proceedings in Mathematics & Statistics 331 (2020), 67--71
   (arXiv:1907.12710)
3. Ginzi Hamano, Takuji Hayashi, Takayuki Hibi, Koichi Hirayama, Hidefumi Ohsugi, Kei Sato, Akihiro Shikama and Akiyoshi Tsuchiya
   The smallest normal edge polytopes with no regular unimodular triangulations
   in "Homological and Computational Methods in Commutative Algebra" (A. Conca, J. Gubeladze, T. Römer Eds.), Springer INdAM Series 20 (2017), 163--172