Academic Staff and Fellows

YAMASHITA Tomoki: Professor Doctor of Sience; Department/Science　 Graduate school/Science

Most discrete structures can be expressed in graph form. Graph theory represents a major research field of discrete mathematics. Here, research is conducted into extremal graph theory, which is the relationship between invariants and local substructures of the graph.

Heawood's counterexample to Kempe's "proof"

Research Area	Graph Theory
Research Interests	Degree conditions for the existence of cycles and trees with special property in graphs
Selected Publications	(1) Minimum degree conditions for the existence of a sequence of cycles whose lengths differ by one or two, S.Chiba, K.Ota and T.Yamashita, Journal of Graph Theory 103 (2023) 340--358. (2) A degree sum condition on the order, the connectivity and the independence number for Hamiltonicity, S.Chiba, M.Furuya, K.Ozeki, M.Tsugaki and T.Yamashita, Electronic Journal of Combinatorics~26 (4) P4.53 (2019). (3) Degree Conditions for the Existence of Vertex-Disjoint Cycles and Paths: A Survey, S.Chiba and T.Yamashita, Graphs Combin. 34 (2018) 1--83.
Research and Achievements	01_yamashita_tomoki.pdf
Affiliated Academic Societies	The Mathematical Society of Japan
Education (Undergraduate Course)	Kobe University
Education (Master's/Doctral Course)	Kobe University

Discrete Mathematics Laboratory

E-mail	yamashita（at）math.kindai.ac.jp Note that this e-mail address has replaced the "@" with "(at)" to prevent spam. When e-mailing, replace the "(at)" with "@".