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Saegusaki Lab
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The lab uses algebra to study discrete structures such as codes and graphs.
AboutAbout the lab
Seeing discrete structures through algebra.
The Saegusaki Lab studies discrete mathematics using algebraic methods.
The lab uses algebra to investigate the properties of discrete structures such as those in coding theory, graph theory, and design theory.
It also works on finding invariants that completely characterize the properties of graphs and matroids (structures that generalize graphs).
Key terms
- Coding theory
- A field that mathematically studies mechanisms for transmitting information accurately, such as error-correcting codes
- Graph theory
- A field of mathematics that studies the properties of graphs, which consist of points connected by lines
- Invariant
- A quantity or property that is intrinsic to a structure and does not change even when the structure or figure is represented differently
ResearchResearch themes
The lab studies discrete mathematics using algebraic methods. It deals with invariants and symmetries of discrete structures in areas such as coding theory, graph theory, design theory, the theory of automorphic forms, lattices, and vertex operator algebras.
*Illustrative imageAlgebraic Combinatorics
The lab works on algebraic combinatorics, which studies discrete structures such as those in coding theory, graph theory, and design theory using algebraic methods.
*Illustrative imageInvariants of Graphs and Matroids
The lab studies how to find invariants that completely characterize the properties of graphs and matroids (structures that generalize graphs).
MembersFaculty
The Saegusaki Lab consists of faculty members and undergraduate and master's students.
- ProfessorTsuyoshi Miezaki
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: “Close-packed spheres, with umbrella light & camerea” Greg A L / CC BY-SA 3.0 (cropped)
- Algebraic Combinatorics: “Real snowflake macro photo” Alexey Kljatov / CC BY-SA 4.0 (cropped)
- Invariants of Graphs and Matroids: “Undirected NetworkX Graph” KalebD07 / CC0 (cropped)
- Related lab (Muramatsu Lab): “Spread of light in optical fiber, Macro visualization, Demonstration of prof Angel Toshkov to students” AZToshkov / CC BY-SA 3.0 (cropped)
- Related lab (Hayamizu Lab): “Petersen graph total coloring” Vinod kalagi / CC BY-SA 4.0 (cropped)
- Related lab (Shimizu Lab): “Wiener process 3d” Sullivan.t.j / CC BY-SA 3.0 (cropped)
- Related lab (Ohmoto Lab): “Ripples dispersing sunlight into underwater rainbows in Brofjorden” W.carter / CC BY-SA 4.0 (cropped)
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