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NAKAMOTO Atsuhiro
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【Published Thesis】 Y-equivalence and rhombic realization of projective-planar quadrangulations(Discrete Applied Mathematics) 2021.08
【Published Thesis】 Four Color Theorem and its aftermath 2021.04
【Book】 曲面上のグラフ理論(サイエンス社) 2021
【Published Thesis】 Coloring zonotopal quadrangulations of the projective space 2025
【Book】 ガイダンス離散数学 : 基礎から発展的な考え方へ(サイエンス社) 2023
【Published Thesis】 Flippable edges in triangulations on surfaces(Discuss. Math. Graph Theory) 2022
【Published Thesis】 Quadrangulations of a Polygon with Spirality 2021.09
【Book】 曲面上のグラフ理論(サイエンス社) 2021
Research Center for Topological Graph Theory
Keio University Completed
Yokohama National University Doctor Course Completed
Yokohama National University Graduated
Doctor of Science - Keio University
Master of Education - Yokohama National University
Duty Yokohama National UniversityFaculty of Environment and Information Sciences Division of Social Environment and Information Professor
Duty Yokohama National UniversityFaculty of Environment and Information Sciences Division of Social Environment and Information Associate Professor
Duty Yokohama National UniversityCollege of Education and Human Sciences Associate Professor
Duty Yokohama National UniversityCollege of Education and Human Sciences Associate Professor
Duty Yokohama National UniversityCollege of Education and Human Sciences Lecturer
Natural Science / Applied mathematics and statistics
Natural Science / Basic mathematics / Graph Theory
High School Teacher Specialization License
Junior High School Teacher Specialization License
Elementary School Teacher Specialization License
Study on embedding of graphs into closed surfaces
Project Year：
「笑わない数学」NHK
NHK「笑わない数学」制作班（ Role： Compilator）
KADOKAWA （ ISBN:9784046064301 ）
Total pages：200 Responsible for pages：四色定理 Language：Japanese Book type：General book, introductory book for general audience
中本 敦浩, 小関 健太（ Role： Sole author）
サイエンス社 （ ISBN:9784781915692 ）
Language：Japanese Book type：Scholarly book
中本 敦浩, 啓林館編集部（ Role： Sole author）
新興出版社啓林館 （ ISBN:9784402022204 ）
Language：Japanese Book type：Scholarly book
中本 敦浩, 啓林館編集部（ Role： Sole author）
新興出版社啓林館 （ ISBN:9784402022143 ）
Language：Japanese Book type：Scholarly book
中本 敦浩, 啓林館編集部（ Role： Sole author）
新興出版社啓林館 （ ISBN:9784402022266 ）
Language：Japanese Book type：Scholarly book
Triangulations and quadrangulations on surfaces
Atsuhiro Nakamoto
1996.3
Doctoral Thesis Single Work
Coloring zonotopal quadrangulations of the projective space
M. Hachimori, A. Nakamoto and K. Ozeki
125 104089 2025.3 [Reviewed]
Authorship：Corresponding author Language：English Publishing type：Research paper (scientific journal) Single Work
Partially broken orientations of Eulerian graphs on closed surfaces
347 114016 2024 [Reviewed]
Authorship：Lead author Language：English Publishing type：Research paper (scientific journal) Single Work
Quadrangulations of a Polygon with Spirality
Hidaka Fumiya, Matsumoto Naoki, Nakamoto Atsuhiro
GRAPHS AND COMBINATORICS 37 ( 5 ) 1905 - 1912 2021.9 [Reviewed]
DOI Web of Science CiNii Research
Language：Japanese Publishing type：Research paper (scientific journal) Publisher：Springer Science and Business Media {LLC} Joint Work
Given an n-sided polygon P on the plane with n >= 4, a quadrangulation of P is a geometric plane graph such that the boundary of the outer face is P and that each finite face is quadrilateral. Clearly, P is quadrangulatable (i.e., admits a quadrangulation) only if n is even, but there is a non-quadrangulatable even-sided polygon. Ramaswami et al. [Comp Geom 9:257-276, (1998)] proved that every n-sided polygon P with n >= 4 even admits a quadrangulation with at most [n-2/4] Steiner points, where a Steiner point for P is an auxiliary point which can be put in any position in the interior of P. In this paper, introducing the notion of the spirality of P to control a structure of P (independent of n), we estimate the number of Steiner points to quadrangulate P.
2-Connected spanning subgraphs of circuit graphs
Atsuhiro Nakamoto and Daisuke Takahashi
Discrete Mathematics 348 114228 2025.1 [Reviewed]
Language：English Publishing type：Research paper (scientific journal) Single Work
Flippable edges in triangulations on surfaces
Discuss. Math. Graph Theory 42 ( 4 ) 1041 - 1059 2022 [Reviewed]
Authorship：Corresponding author Language：English Publishing type：Research paper (scientific journal) Single Work
離散数学における洋書
中本敦浩
数学セミナー2022年12月号 ( 12 ) 2022.11
Authorship：Corresponding author Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media) Single Work
The four color theorem and its aftermath
Nakamoto Atsuhiro, Ozeki Kenta
SUGAKU 73 ( 2 ) 133 - 160 2021.4
Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (bulletin of university, research institution) Publisher：The Mathematical Society of Japan Joint Work
Comparative Study on the Period of Integrated Study in Japan and New Zealand : A school visit to Cobham Intermediate School in New Zealand
Yamamoto Ko, Nakamoto Atsuhiro, Ogasawara Rie, Takahashi Sumire, Takishita Hiroki, Nakatani Yuma
The Journal of The Japan Society for New Zealand Studies 21 ( 0 ) 14 - 26 2014 [Reviewed] [Invited]
Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (bulletin of university, research institution) Publisher：The Japan Society for New Zealand Studies Joint Work
曲面上のグラフの多色彩色について (デザイン、符号、グラフおよびその周辺)
中本 敦浩
数理解析研究所講究録 1844 146 - 152 2013.7
Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (bulletin of university, research institution) Publisher：京都大学数理解析研究所 Single Work
曲面上のグラフの多色彩色について (デザイン、符号、グラフおよびその周辺 : RIMS共同研究報告集)
中本 敦浩
数理解析研究所講究録 ( 1844 ) 146 - 152 2013.7
Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (bulletin of university, research institution) Publisher：京都大学 Single Work
グラフ剛性の手法を用いた疎なグラフの生成定理の構築
Grant number：25K07098 2025.4 - 2029.3
Grant-in-Aid for Scientific Research(C)
Investigator(s)：中本敦浩
Authorship：Principal investigator Grant type：Competitive
曲面上の局所4-彩色可能グラフの構造について
2021.4 - 2024.3
科学研究費補助金 Grant-in-Aid for Scientific Research(C)
Investigator(s)：中本敦浩
Grant type：Competitive
閉曲面の四角形分割の生成とその関連問題
中本敦浩
第36回位相幾何学的グラフ理論研究集会 2024.11
Event date： 2024.11
Language：English Presentation type：Oral presentation (general)
Venue：横浜国立大学 Country：Japan
Generation of quadrangulations on surfaces and related topics
Atsuhiro Nakamoto [Invited]
Theory and Algorithms in Graph Rigidity and Algebraic Statistics 2024.9
Event date： 2024.9
Language：English Presentation type：Oral presentation (invited, special)
Venue：Shonan Village Center Country：Japan
四角形分割の生成とその関連
中本敦浩
離散数学とその応用研究集会2024 2024.8
Event date： 2024.8
Language：English Presentation type：Oral presentation (general)
Venue：山形大学 Country：Japan
Generation of quadrangulations on surfaces and related topics
Atsuhiro Nakamoto [Invited]
International Conference on Graph Theory and its Applications 2024.6 Presidency University
Event date： 2024.6
Language：English Presentation type：Oral presentation (invited, special)
Venue：Bengaluru, India Country：India
Geometric quadrangulations with spirality
中本敦浩
直観幾何学 2024.3 伊藤仁一
Event date： 2024.3
Language：Japanese Presentation type：Oral presentation (general)
Venue：椙山女学園大学，名古屋 Country：Japan
2025 Junior and Senior High School Teaching Methodology Ⅳ (Mathematics)
College of Engineering Science
2025 Discrete Mathematics II
College of Engineering Science
2025 Advanced Information Mathematics I
Graduate School of Environment and Information Sciences
2025 Advanced Discrete Mathematics I
Graduate School of Environment and Information Sciences
2025 Advanced Mathematical Information I
Graduate School of Environment and Information Sciences
集中講義「応用数理特論D」
2022.5 Institution：東北大学
Level：Postgraduate
線形代数
2015.4 Institution：慶應義塾大学
Level：Undergraduate (liberal arts)
横浜工業会
2019.5 理事
Committee type：Academic society
日本数学会評議員
2017.3 - 2019.2
Committee type：Academic society
日本数学会応用数学分科会
2017.3 - 2018.3 評議員
Committee type：Academic society
YNUスポーツアカデミー
2014.4 常任理事
Committee type：Academic society
高校数学教科書の編集
Role(s)： Chief editor, Interviewer
2022.4
数学オリンピック神奈川予選の運営
Role(s)： Planner
数学オリンピック神奈川予選の運営 2025.1
スーパーサイエンスハイスクールでの講義
Role(s)： Lecturer
2024.12
第36回位相幾何学的グラフ理論研究集会
Role(s)： Logistic support
横浜国立大学環境情報学府 2024.11
数学オリンピック神奈川予選の運営
Role(s)： Other
2024.1
