Associate professor at Department of Mathematics, Hokkaido University of Education, Japan. 

• ORCID : 0000-0001-5805-910X

• arXiv

• Research Gate

• Google Scholar

• researchmap

Publications:

[19] Upper Embeddability of Graphs and Products of Transpositions Associated with Edges

• • Shuhei Tsujie, Ryo Uchiumi

  • Ars Mathematica Contemporanea 25 (2025) #2.05 

  • DOI: 10.26493/1855-3974.3023.c45 

  • arixiv:2211.05422 

[18] A type $B$ analog of the Ish arrangement

• Tan Nhat Tran, Shuhei Tsujie

• Algebraic Combinatorics 8 (2025) no. 1, pp. 267-294.

• DOI: 10.5802/alco.405

• arXiv:2304.12022 

[17] Vines and MAT-labeled graphs 

• Hung Manh Tran, Tan Nhat Tran, Shuhei Tsujie

• Forum of Mathematics, Sigma. 2024;12:e128. 

• DOI:10.1017/fms.2024.124

• arXiv:2311.17793

[16] Vertex-weighted Digraphs and Freeness of Arrangements Between Shi and Ish

• Takuro Abe, Tan Nhat Tran, Shuhei Tsujie

• European Journal of Combinatorics 118 (2024) 103920

• DOI: 10.1016/j.ejc.2024.103920 

• arXiv:2108.02518 

[15] The characteristic quasi-polynomials of hyperplane arrangements over residually finite Dedekind domains

• Masamichi Kuroda, Shuhei Tsujie

• Enumerative Combinatorics and Applications 4(1) (2024) Article S2R1

• DOI: 10.54550/ECA2024V4S1R1 (mirror)

• arxiv:2208.14952 

[14] MAT-free graphic arrangements and a characterization of strongly chordal graphs by edge-labeling

• Tan Nhat Tran, Shuhei Tsujie

• Algebraic Combinatorics 6(6) (2023) 1447 - 1467

• DOI: 10.5802/alco.319 

• arXiv:2204.08878 

[13] Freeness for restriction arrangements of the extended Shi and Catalan arrangements

• Norihiro Nakashima, Shuhei Tsujie

• Discrete Mathematics 346 (2023) 113601

• DOI: 10.1016/j.disc.2023.113601 

• arXiv:2111.03585

[12] Enumeration of Flats of the Extended Catalan and Shi Arrangements with Species 

• Norihiro Nakashima, Shuhei Tsujie

• Journal of Integer Sequences 24 (2021) Article 21.9.2

• arXiv:1904.09748

[11] Unit Ball Graphs on Geodesic Spaces

• • Masamichi Kuroda, Shuhei Tsujie

  • Graphs and Combinatorics 37 (2021) 111 - 125

  • DOI: 10.1007/s00373-020-02231-3 

  • arXiv:1809.08608

[10] Modular Construction of Free Hyperplane Arrangements

• • Shuhei Tsujie

  • SIGMA 16 (2020), 080, 19 pages

  • DOI: 10.3842/SIGMA.2020.080 

  • arXiv:1908.01535

[9] Freeness of Hyperplane Arrangements between Boolean Arrangements and Weyl Arrangements of Type $ B_{\ell} $

• • Michele Torielli, Shuhei Tsujie

  • The Electronic Journal of Combinatorics 27(3) (2020) #P3.10

  • DOI: 10.37236/9341 

  • arXiv: 1807.02432

[8] Vertex-weighted graphs and freeness of $ \psi $-graphical arrangements

• • Daisuke Suyama, Shuhei Tsujie

  • Discrete & Computational Geometry 61 (2019) 185–197 

  • DOI: 10.1007/s00454-018-9984-1

  • arXiv: 1511.04853

[7] Signed graphs and the freeness of the Weyl subarrangements of type $ B_{\ell} $

• • Daisuke Suyama, Michele Torielli, Shuhei Tsujie

  • Discrete Mathematics 342 (2019) 233-249

  • DOI: 10.1016/j.disc.2018.09.029

  • arXiv: 1707.01967 

[6] The Chromatic Symmetric Functions of Trivially Perfect Graphs and Cographs

• • Shuhei Tsujie

  • Graphs and Combinatorics 34 (2018) 1037-1048

  • DOI: 10.1007/s00373-018-1928-2

  • arXiv: 1707.04058

[5] Order Quasisymmetric Functions Distinguish Rooted Trees

• • Takahiro Hasebe, Shuhei Tsujie

  • Journal of Algebraic Combinatorics 46 (2017) 499-515

  • DOI: 10.1007/s10801-017-0761-7 

  • arXiv: 1610.03908

[4] A Generalization of APN Functions for Odd Characteristic

• • Masamichi Kuroda, Shuhei Tsujie

  • Finite Fields and Their Applications 47 (2017) 64-84

  • DOI: 10.1016/j.ffa.2017.05.001

  • arXiv: 1612.00580

[3] The freeness of Ish arrangements

• • Takuro Abe, Daisuke Suyama, Shuhei Tsujie

  • Journal of Combinatorial Theory, Series A 146 (2017) 169-183

  • DOI: 10.1016/j.jcta.2016.09.008

  • arXiv: 1410.2084

[2] Canonical Systems of Basic Invariants for Unitary Reflection Groups

• • Norihiro Nakashima, Hiroaki Terao, Shuhei Tsujie

  • Canadian Mathematical Bulletin 59 (2016) 617-623

  • DOI: 10.4153/CMB-2016-031-7

  • arXiv: 1310.0570

[1] A canonical system of basic invariants of a finite reflection group

• • Norihiro Nakashima, Shuhei Tsujie

  • Journal of Algebra 406 (2014) 143-153

  • DOI: 10.1016/j.jalgebra.2014.02.012

  • arXiv: 1211.6026

Preprints:

• Exponents of 2-multiarrangements of three lines over fields of positive characteristic

  • Shuhei Tsujie, Ryo Uchiumi

  • arXiv:2506.07070 (2025)

• Signatures of Type A Root Systems

  • Michael Cuntz, Hung Manh Tran, Tan Nhat Tran, Shuhei Tsujie

  • arxiv:2504.05423 (2025)

• $q$-deformation of chromatic polynomials and graphical arrangements

  • Tongyu Nian, Shuhei Tsujie, Ryo Uchiumi, Masahiko Yoshinaga

  • arXiv:2412.08290 (2024)

• Universal graph series, chromatic functions, and their index theory

  • Tsuyoshi Miezaki, Akihiro Munemasa, Yusaku Nishimura, Tadashi Sakuma, Shuhei Tsujie

  • arXiv:2403.09985 (2024)

• Freeness of hyperplane arrangements associated with gain graphs

  • Daisuke Suyama, Michele Torielli, Shuhei Tsujie

  • arXiv:2403.08304 (2024)

• Chromatic Signed-Symmetric Functions of Signed Graphs

  • Masamichi Kuroda, Shuhei Tsujie

  • arXiv:2101.03018 (2021)

Workshops:

[9] Japanese Conference on Combinatorics and its Applications 2025, Mini-Symposium "Hyperplane Arrangements" (August 2025)

[8] New perspectives of coinvariant rings from viewpoints of geometry and algebraic combinatorics (July 2025)

[7] Asahikawa Discrete Mathematics Seminar (2) (February 2024) 

[6] Hyperplane Arrangements 2023 (December 2023)

[5] Asahikawa Discrete Mathematics Seminar (March 2023) 

[4] Recent Developments in Hyperplane Arrangements 2022 (February 2022) 

[3] Hiroshima Kokusai Gakuin University Discrete Mathematics Seminar (March 2020)

[2] Hyperplane Arrangements in Wakkanai (August 2019)

[1] The 6th Mathematics Conference for Young Researchers (February 2010)

Links:

• zbMATH 

•  The On-Line Encyclopedia of Integer Sequences 

• Information System on Graph Classes and their Inclusions 

• GroupNames 

• The symmetric functions catalog