Department of Mathematics, Faculty of Science Division II, Tokyo University of Science
1-3 Kagurazaka, Shinjuku, Tokyo 162-8601, Japan
Assistant Professor
e-mail: sankamasa [at] gmail.com
My research topics: Graph theory
Keywords: toughness, hamiltonian cycle, factor, forbidden subgraph
Employment
April 2024 - present: Assistant Professor at Tokyo University of Science
April 2021 - March 2024: Part-time lecturer, Tokyo Medical And Dental University
April 2019 - March 2024: Teaching assistant, Keio University
Grant
April 2021 - March 2024: JST Doctoral Program Student Support Project
Education
April 2021 - March 2024: Doctor Course in Mathematics, Keio University
April 2019 - March 2021: Master Course in Mathematics, Keio University.
April 2015 - March 2019: Jiyu Gakuen (College)
Submitted
On hamiltonian cycles of 1-tough $(P_2 ¥cup kP_1)$-free graphs, to appear
Published
An Ore-type condition for hamiltonicity in tough graphs and the extremal examples (with Songling Shan), Electron. J. Combin., 31(1), 2024 (arXiv)
Some conditions for hamiltonian cycles in 1-tough $(K_2 ¥cup kK_1)$-free graphs (with Katsuhiro Ota), Discrete Math., 347(3), 2024 (arXiv)
Forbidden subgraphs and 2-factors in 3/2-tough graphs, J. Graph Theory, 103(2), 2023 (arXiv)
Hamiltonian cycles in 2-tough $2K_2$-free graphs (with Katsuhiro Ota), J. Graph Theory, 101(4), 2022 (arXiv)
Thesis
Toughness, forbidden subgraphs and hamiltonicity of graphs, thesis for Ph.D of Science, Keio University, 2024.
Toughness and Hamiltonian cycles in 2K2-free graphs, thesis for Master of Science, Keio University, 2021.
Hamiltonicity of $(P_2 ¥cup kP_1)$-free graphs with many vertices, ASIACOMB2026, Daejeon, August, 2026
Improvement of conditions for hamiltonicity of 1-tough (K2∪kK1)-free graphs, The 35th Workshop on Topological Graph Theory, Yokohama, November, 2023.
Toughness and forbidden subgraphs for graphs to be hamiltonian, 10th International Congress on Industrial and Applied Mathematics (ICIAM 2023 TOKYO), Waseda University, August, 2023.