Matsuda Kazunori 松田一徳

Researcher Number	20633241
Other IDs
Affiliation (Current)	2025: 北見工業大学, 工学部, 准教授
Affiliation (based on the past Project Information) *help	2018 – 2024: 北見工業大学, 工学部, 准教授 2017: 大阪大学, 情報科学研究科, 特任助教
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra Except Principal Investigator Basic Section 60010:Theory of informatics-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords	Principal Investigator マッチング数 / エッジイデアル / Castelnuovo-Mumford正則度 / 余次元 / トーリックイデアル / h 多項式 / Castelnuovo-Mumford 正則度 / 最小マッチング数 / Cameron-Walkerグラフ / 誘導マッチング数 … More / extremal ベッチ数 / 非 Cohen-Macaulay 環 / 深度 / Cohen-Macaulay type / h多項式の次数 / 形式化 / Coq / 独立数 / Gorenstein / Cohen-Macaulay / 次元 / Stanley-Reisner環 / トーリック環 / 次数付き代数 / 組合せ論的可換環論 / edge ring / linear resolution / Cameron-Walker グラフ / グラフィックマトロイド / 極値的ベッチ数 / h多項式 / Koszul代数 … More Except Principal Investigator 型理論 / 可換代数 / グラフ理論 / Coq / 定理証明支援系 / 単項式イデアル / 誘導マッチング数 / ベッチテーブル / 二項辺イデアル / Scarf resolution / 純粋 O 列 / 頂点被覆イデアル / 辺イデアル / 有限単純グラフ / 極小自由分解 / シチジー理論 Less

Study on the relationship between ring-theoretic invariants of monomial and binomial ideals defined by graphsPrincipal Investigator
- Principal Investigator
  
  松田一徳
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kitami Institute of Technology
Application of Proof Assistants to the Exploration for Novel Mathematical Theorems
- Principal Investigator
  
  才川隆文
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 60010:Theory of informatics-related
- Research Institution
  Nagoya University
Study on relationship among ring theoretic invariants for non Cohen-Macaulay ringsPrincipal Investigator
- Principal Investigator
  
  Matsuda Kazunori
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kitami Institute of Technology
多項式環のシチジー理論を戦略とするグラフ理論の古典論の再編と現代的潮流の誕生
- Principal Investigator
  
  日比孝之
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Osaka University
Diversified study of Koszul algebraPrincipal Investigator
- Principal Investigator
  
  Matsuda Kazunori
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kitami Institute of Technology
  Osaka University

All 2024 2023 2022 2021 2020 2019 2018 2017

All Journal Article Presentation

[Journal Article] On the three graph invariants related to matching of finite simple graphs2024
- Author(s)
  Kazunori Matsuda, Yuichi Yoshida
- Journal Title
  
  Journal of Algebra Combinatorics Discrete Structures and Applications
  
  Volume: －
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03550
[Journal Article] The regularity and h-polynomial of Cameron-Walker graphs2022
- Author(s)
  Takayuki Hibi, Kyouko Kimura, Kazunori Matsuda, Adam Van Tuyl
- Journal Title
  
  Enumerative Combinatorics and Applications
  
  Volume: 2 Issue: 3 Pages: Article #S2R17-Article #S2R17
- DOI
  10.54550/eca2022v2s3r17
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03550, KAKENHI-PROJECT-15K17507, KAKENHI-PROJECT-20KK0059
[Journal Article] Inequalities of invariants on Stanley-Reisner rings of Cohen-Macaulay simplicial complexes2022
- Author(s)
  Akihiro Higashitani, Hiroju Kanno, Kazunori Matsuda
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 226 Issue: 7 Pages: 106888-106888
- DOI
  10.1016/j.jpaa.2021.106888
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03550
[Journal Article] Regularity and h-polynomials of binomial edge ideals2022
- Author(s)
  Takayuki Hibi, Kazunori Matsuda
- Journal Title
  
  Acta Mathematica Vietnamica
  
  Volume: 47 Issue: 1 Pages: 369-374
- DOI
  10.1007/s40306-021-00416-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03550
[Journal Article] Regularity and a-invariant of Cameron?Walker graphs2021
- Author(s)
  Hibi Takayuki、Kimura Kyouko、Matsuda Kazunori、Tsuchiya Akiyoshi
- Journal Title
  
  Journal of Algebra
  
  Volume: 584 Pages: 215-242
- DOI
  10.1016/j.jalgebra.2021.05.007
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19J00312, KAKENHI-PROJECT-20K03550, KAKENHI-PROJECT-15K17507, KAKENHI-PROJECT-19K14505
[Journal Article] Matching Numbers and Dimension of Edge Ideals2021
- Author(s)
  Ayana Hirano, Kazunori Matsuda
- Journal Title
  
  Graphs and Combinatorics
  
  Volume: 37 Issue: 3 Pages: 761-774
- DOI
  10.1007/s00373-021-02277-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03550
[Journal Article] Homological invariants of Cameron-Walker graphs2021
- Author(s)
  Hibi Takayuki、Kanno Hiroju、Kimura Kyouko、Matsuda Kazunori、Van Tuyl Adam
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: ー Issue: 9 Pages: 6559-6582
- DOI
  10.1090/tran/8416
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03550, KAKENHI-PROJECT-15K17507
[Journal Article] Toric rings and ideals of stable set polytopes2019
- Author(s)
  Kazunori Matsuda, Hidefumi Ohsugi, Kazuki Shibata
- Journal Title
  
  Mathematics
  
  Volume: 7 Issue: 7 Pages: 613-613
- DOI
  10.3390/math7070613
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18H01134, KAKENHI-PROJECT-17K14165
[Journal Article] Induced matching numbers of finite graphs and edge ideals2019
- Author(s)
  Hibi Takayuki、Kanno Hiroju、Matsuda Kazunori
- Journal Title
  
  Journal of Algebra
  
  Volume: 532 Pages: 311-322
- DOI
  10.1016/j.jalgebra.2019.04.036
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14165
[Journal Article] Extremal Betti numbers of edge ideals2019
- Author(s)
  Takayuki Hibi, Kyouko Kimura, Kazunori Matsuda
- Journal Title
  
  Archiv der Mathematik
  
  Volume: 印刷中 Issue: 2 Pages: 149-155
- DOI
  10.1007/s00013-019-01322-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14165, KAKENHI-PROJECT-15K17507, KAKENHI-PROJECT-26220701
[Journal Article] Regularity and h-polynomials of edge ideals2019
- Author(s)
  Takayuki Hibi, Kazunori Matsuda, Adam Van Tuyl
- Journal Title
  
  The Electronic Journal of Combinatorics
  
  Volume: ー
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14165
[Journal Article] Lexsegment Ideals and Their h-Polynomials2019
- Author(s)
  Takayuki Hibi, Kazunori Matsuda
- Journal Title
  
  Acta Mathematica Vietnamica
  
  Volume: 44 Issue: 1 Pages: 83-86
- DOI
  10.1007/s40306-018-0297-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14165
[Journal Article] Nonincreasing depth functions of monomial ideals2018
- Author(s)
  Kazunori Matsuda, Tao Suzuki, Akiyoshi Tsuchiya
- Journal Title
  
  Glasgow Mathematical Journal
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14165
[Journal Article] Non-Koszul quadratic Gorenstein toric rings2018
- Author(s)
  Kazunori Matsuda
- Journal Title
  
  Mathematica Scandinavica
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14165
[Journal Article] Weakly closed graphs and F-purity of binomial edge ideals2018
- Author(s)
  Kazunori Matsuda
- Journal Title
  
  Algebra Colloquium
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14165
[Journal Article] Regularity and h-polynomials of monomial ideals2017
- Author(s)
  Takayuki Hibi, Kazunori Matsuda
- Journal Title
  
  arXiv:1711.02002
  
  Volume: -
- Data Source
  KAKENHI-PROJECT-17K14165
[Journal Article] Quadratic Grobner bases arising from partially ordered sets2017
- Author(s)
  Hibi Takayuki、Matsuda Kazunori、Tsuchiya Akiyoshi
- Journal Title
  
  Mathematica Scandinavica
  
  Volume: 121 Issue: 1 Pages: 19-25
- DOI
  10.7146/math.scand.a-26246
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14165, KAKENHI-PROJECT-26220701
[Journal Article] Edge rings with 3-linear resolutions2017
- Author(s)
  Takayuki Hibi, Kazunori Matsuda, Akiyoshi Tsuchiya
- Journal Title
  
  arXiv:1712.03504
  
  Volume: -
- Data Source
  KAKENHI-PROJECT-17K14165
[Presentation] Gorenstein二次代数のKoszul性に関するMastroeni-Schenck-StillmanのQuestionについてのサーベイ2023
- Author(s)
  松田一徳
- Organizer
  東京可換環論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03550
[Presentation] 連結単純グラフのマッチングに付随する3種の不変量2023
- Author(s)
  吉田裕一, 松田一徳
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-20K03550
[Presentation] Homological invariants of Cameron-Walker graphs2021
- Author(s)
  松田一徳
- Organizer
  東京可換環論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03550
[Presentation] Gorenstein binomial edge ideals ~arXiv:2102.11188 の論文紹介~2021
- Author(s)
  松田一徳
- Organizer
  特異点セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03550
[Presentation] Gorenstein graphic matroids2020
- Author(s)
  松田一徳
- Organizer
  オンライン研究集会組合せ論と可換環論
- Invited
- Data Source
  KAKENHI-PROJECT-20K03550
[Presentation] 単項式イデアルの環論的不変量の相互関係について2020
- Author(s)
  松田一徳
- Organizer
  日本数学会北海道支部講演会
- Invited
- Data Source
  KAKENHI-PROJECT-20K03550
[Presentation] 単純グラフの3種のマッチング数とエッジイデアルの次元について2020
- Author(s)
  平野文菜, 松田一徳
- Organizer
  日本数学会2020年度年会
- Data Source
  KAKENHI-PROJECT-17K14165
[Presentation] The regularity and h-polynomial of Cameron-Walker graphs2020
- Author(s)
  日比孝之、木村杏子、松田一徳、Adam Van Tuyl
- Organizer
  日本数学会2020年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-20K03550
[Presentation] Induced matching numbers of finite graphs and edge ideals2019
- Author(s)
  菅野裕樹, 日比孝之, 松田一徳
- Organizer
  日本数学会2019年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K14165
[Presentation] 有限単純グラフの binomial edge ideal2019
- Author(s)
  松田一徳
- Organizer
  組合せ論と可換代数オータムセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14165
[Presentation] Regularity and a-invariants of Cameron-Walker graphs2019
- Author(s)
  日比孝之, 木村杏子, 松田一徳, 土谷昭善
- Organizer
  日本数学会2019年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K14165
[Presentation] Regularity and a-invariants of Cameron-Walker graphs2019
- Author(s)
  松田一徳
- Organizer
  第32回可換環論セミナー
- Data Source
  KAKENHI-PROJECT-17K14165
[Presentation] エッジイデアルの extremal ベッチ数2019
- Author(s)
  日比孝之, 木村杏子, 松田一徳
- Organizer
  日本数学会2019年度年会
- Data Source
  KAKENHI-PROJECT-17K14165
[Presentation] Gorenstein graphic matroids2019
- Author(s)
  Kazunori Matsuda
- Organizer
  Commutative Algebra and Lattice Polytopes
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14165
[Presentation] Edge rings with 3-linear resolutions2018
- Author(s)
  土谷昭善, 日比孝之, 松田一徳
- Organizer
  日本数学会2018年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K14165
[Presentation] Castelnuovo-Mumford正則度とh多項式の次数についてI, II2018
- Author(s)
  松田一徳
- Organizer
  第22回静岡代数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14165
[Presentation] Lexsegment ideals and their h-polynomials2018
- Author(s)
  日比孝之, 松田一徳
- Organizer
  第40回可換環論シンポジウム
- Data Source
  KAKENHI-PROJECT-17K14165
[Presentation] 単項式イデアルの Castelnuovo-Mumford 正則度と h 多項式の次数について2018
- Author(s)
  日比孝之, 松田一徳
- Organizer
  日本数学会2018年度年会
- Data Source
  KAKENHI-PROJECT-17K14165
[Presentation] Regularity and h-polynomials of monomial ideals2018
- Author(s)
  松田一徳
- Organizer
  第30回可換環論セミナー
- Data Source
  KAKENHI-PROJECT-17K14165
[Presentation] Introduction to Hibi rings (1), (2)2017
- Author(s)
  松田一徳
- Organizer
  第14回可換環論サマースクール
- Data Source
  KAKENHI-PROJECT-17K14165
[Presentation] 順序凸多面体の対の正規性について2017
- Author(s)
  松田一徳
- Organizer
  日本数学会2017年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K14165
[Presentation] Regularity and h-polynomials of monomial ideals2017
- Author(s)
  松田一徳
- Organizer
  日本大学特異点論月曜セミナー
- Data Source
  KAKENHI-PROJECT-17K14165

1. 日比孝之 (80181113)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. 木村杏子 (60572633)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 柴田和樹 (70859123)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 才川隆文 (00897100)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 大杉英史

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Matsuda Kazunori 松田 一徳

Research Projects

Research Products

Co-Researchers

Study on the relationship between ring-theoretic invariants of monomial and binomial ideals defined by graphsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Application of Proof Assistants to the Exploration for Novel Mathematical Theorems

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on relationship among ring theoretic invariants for non Cohen-Macaulay ringsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

多項式環のシチジー理論を戦略とするグラフ理論の古典論の再編と現代的潮流の誕生

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Diversified study of Koszul algebraPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] On the three graph invariants related to matching of finite simple graphs2024

Author(s)

Journal Title

Data Source

[Journal Article] The regularity and h-polynomial of Cameron-Walker graphs2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Inequalities of invariants on Stanley-Reisner rings of Cohen-Macaulay simplicial complexes2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Regularity and h-polynomials of binomial edge ideals2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Regularity and a-invariant of Cameron?Walker graphs2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Matching Numbers and Dimension of Edge Ideals2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Homological invariants of Cameron-Walker graphs2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Toric rings and ideals of stable set polytopes2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Induced matching numbers of finite graphs and edge ideals2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Extremal Betti numbers of edge ideals2019

Author(s)

Matsuda Kazunori 松田一徳