Updated on 2026/05/20

写真a

 
KITA Nanao
 
Organization
Graduate School of Mathematics Division of Mathematics Computational Mathematics Associate Professor
Graduate School
Graduate School of Mathematics
Undergraduate School
School of Science Department of Mathematics
Title
Associate Professor
External link

Degree 3

  1. PhD in Science ( 2014.3   Keio University ) 

  2. Master of Information Science and Technology ( 2011.3   The University of Tokyo ) 

  3. Bachelor of Engineering ( 2008.3   The University of Tokyo ) 

Research Interests 5

  1. Discrete Mathematics

  2. Theoretical Computer Science

  3. Optimization Theory

  4. graph theory

  5. algorithm

Research Areas 3

  1. Informatics / Mathematical informatics

  2. Informatics / Information theory

  3. Natural Science / Applied mathematics and statistics

Research History 3

  1. Nagoya University   Graduate School of Mathematics   Associate Professor

    2023.3

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  2. Tohoku University   Graduate School of Information Sciences   specially appointed assistant professor

    2022.9 - 2023.2

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  3. Tokyo University of Science   Faculty of Science and Technology   Assistant Professor

    2018.4 - 2022.8

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Professional Memberships 2

  1. 日本数学会

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  2. THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS

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Committee Memberships 2

  1. The Mathematical Society of Japan   delegate  

    2024.3 - 2025.2   

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    Committee type:Academic society

  2. The 37th international conference on Formal Power Series and Algebraic Combinatorics   Local Organizer  

    2023.7 - 2025.7   

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Awards 1

  1. Best Student Paper Award

    2012.12   23rd International Symposium on Algorithm and Computation (ISAAC 2012)  

    Nanao Kita

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    Award type:Award from international society, conference, symposium, etc.  Country:Taiwan, Province of China

 

Papers 6

  1. Constructive Characterization and Recognition Algorithm for Grafts with a Connected Minimum Join

    Nanano Kita

        2025.10

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    Minimum joins in a graft $(G, T)$, also known as minimum $T$-joins of a graph $G$, are said to be connected if they determine a connected subgraph of $G$. Grafts with a connected minimum join have gained interest ever since Middendorf and Pfeiffer showed that they satisfy Seymour's min-max formula for joins and $T$-cut packings; that is, in such grafts, the size of a minimum join is equal to the size of a maximum packing of $T$-cuts. In this paper, we provide a constructive characterization of grafts with a connected minimum join. We also obtain a polynomial time algorithm that decides whether a given graft has a connected minimum join and, if so, outputs one. Our algorithm has two bottlenecks; one is the time required to compute a minimum join of a graft, and the other is the time required to solve the single-source all-sink shortest path problem in a graph with conservative $\pm 1$-valued edge weights. Thus, our algorithm runs in $O(n(m + n\log n) )$ time. In the nondense case, it improves upon the time bound for this problem due to Sebő and Tannier that was introduced as an application of their results on metrics on graphs.

    arXiv

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    Other Link: https://arxiv.org/pdf/2510.26975v1

  2. Odd cuts in bipartite grafts II: Structure and universality of decapital distance components

    Nanao Kita

    arXiv preprint   Vol. arXiv:2503.23973   2025.3

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    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (bulletin of university, research institution)  

  3. Basilica: New canonical decomposition in matching theory. Reviewed Open Access

    Nanao Kita

    J. Graph Theory   Vol. 108 ( 3 ) page: 508 - 542   2025.3

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1002/jgt.23190

    Open Access

    Web of Science

    Scopus

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  4. Graft analogue of general Kotzig-Lovasz decomposition Reviewed

    Nanao Kita

    Discrete Applied Mathematics   Vol. 32 ( 2 ) page: 355 - 364   2022.12

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    Authorship:Lead author, Last author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: https://doi.org/10.1016/j.dam.2022.08.024

  5. Constructive characterization for signed analogue of critical graphs II: General radials and semiradials

    Nanao Kita

    arXiv     2022.6

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    Authorship:Lead author, Last author, Corresponding author   Language:English   Publishing type:Research paper (bulletin of university, research institution)  

  6. Tight cuts in bipartite grafts I: Capital distance components

    Nanao Kita

    arXiv     2022.2

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    Authorship:Lead author, Last author, Corresponding author   Language:English   Publishing type:Research paper (bulletin of university, research institution)  

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Presentations 2

  1. Constructive Characterization and Faster Recognition Algorithm for Grafts with a Connected Minimum Join" International conference

    Nanao Kita

    The 47th Australasian Combinatorics Conference  2025.12.1 

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    Event date: 2025.12

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Victoria University of Wellington, Wellington   Country:New Zealand  

  2. Dulmage--Mendelsohn Decomposition for the Minimum Odd Join Problem in Bipartite Grafts International conference

    Nanao Kita

    56th Southeastern International Conference on Combinatorics, Graph Theory & Computing (SEICCGTC)  2025.3.5 

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    Event date: 2025.3

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Boca Raton, FL  

KAKENHI (Grants-in-Aid for Scientific Research) 4

  1. グラフ理論的基礎定理の深化と一般化によるイジング・スピングラス模型の新展開

    Grant number:26K06893  2026.4 - 2030.3

    科学研究費助成事業  基盤研究(C)

    喜多 奈々緒

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    Authorship:Principal investigator 

    Grant amount:\4680000 ( Direct Cost: \3600000 、 Indirect Cost:\1080000 )

  2. Innovating the foundation of Ising spin glass theory by an approach from discrete mathematics

    Grant number:23K03192  2023.4 - 2027.3

    Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

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    Authorship:Principal investigator 

    Grant amount:\4680000 ( Direct Cost: \3600000 、 Indirect Cost:\1080000 )

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  3. イジング模型の基底状態問題に対する離散数理を用いた新たな展開

    2021.1 - 2022.12

    栢森情報科学振興財団  研究助成 

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    Authorship:Principal investigator 

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  4. Toward a radical extension of matroidal optimization theory

    Grant number:18K13451  2018.4 - 2024.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Early-Career Scientists  Grant-in-Aid for Early-Career Scientists

    Kita Nanao

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\4160000 ( Direct Cost: \3200000 、 Indirect Cost:\960000 )

    This research project aims to develop a new framework that captures the essence of polynomial-time solvability. Focusing on major discrete optimization problems that are solvable in polynomial time, the study has revealed graph-theoretic structures, such as canonical decompositions and duality, that are deeply connected to computational complexity. We have particularly focused on the optimal parity factor problem (also known as the minimum T-join problem). We have established a canonical decomposition theory for this problem on bipartite graphs, from which a lattice-theoretic characterization of dual optimal solutions has been derived. This result can be regarded as a generalization of the Dulmage-Mendelsohn canonical decomposition known in matching theory. Furthermore, motivated by connections with degree-constrained matchings, the study also investigated bidirected graphs and derived a constructive characterization of bidirected critical graphs.

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