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Kotani Lab
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A mathematics lab exploring factors in graph theory.
AboutAbout the lab
Investigating graph factors through mathematics
The Kotani Lab studies graph theory, a branch of discrete mathematics.
Graph theory is a field that studies 2-element subsets of a finite set.
The Four Color Theorem, which states that any map can be colored with four or fewer colors, is one of the famous theorems of graph theory.
The lab studies factor theory within graph theory, in particular sufficient conditions for the existence of regular factors.
Key terms
- graph theory
- A branch of discrete mathematics that studies 2-element subsets of a finite set
- Four Color Theorem
- The theorem stating that any map can be colored with four or fewer colors. It is one of the famous theorems of graph theory
- discrete mathematics
- A field of mathematics that includes graph theory as one of its branches
ResearchResearch themes
The lab studies graph theory, which provides the mathematical foundations of network theory. Within it, the lab investigates factor theory, in particular sufficient conditions for the existence of regular factors.
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MembersFaculty
- ProfessorKeiko Kotani
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: “Shaw Graph” Francesca Gandini, Shubhra Mishra, Douglas Shaw / CC BY 4.0 (cropped)
- Factors of Graphs: “Factor Graph representation” 14ndy15 / CC BY-SA 4.0 (cropped)
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