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Noguchi Lab
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A graph theory lab that explores networks of vertices and edges through mathematics.
AboutAbout the lab
Thinking about networks of vertices and edges through mathematics.
Noguchi Lab studies graph theory, the mathematics of network structures made up of vertices and edges.
From a theoretical standpoint, the lab examines questions such as whether a given figure can be drawn in a single stroke without lifting the pen, and whether a knight can move so as to visit every square of a chessboard exactly once.
In particular, the lab works on graph coloring and the embedding of graphs in surfaces.
By proving theorems in mathematics, the lab also keeps applications to graph algorithms in view.
Key terms
- Graph theory
- A mathematical theory that studies network structures made up of vertices and edges. It deals with problems such as whether a figure can be drawn in a single stroke.
- Graph coloring
- One of the topics in graph theory, concerned with problems of coloring the vertices and other elements of a graph. It is closely related to the map coloring problem.
ResearchResearch themes
The lab studies graph theory, which deals with network structures made up of vertices and edges, from a theoretical perspective. Using mathematics, it proves a variety of theorems in graph theory.
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MembersFaculty
The members of Noguchi Lab are faculty members and students in the master's and undergraduate programs.
- Associate ProfessorKenta Noguchi
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Map coloring via graphs” Hmrussellmath / CC BY-SA 4.0 (cropped)
- Graph coloring and embeddings in surfaces: “Graph C6 ChromaticNumber” Wild Lion (thảo luận) / CC BY-SA 3.0 (cropped)
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