Seminar - 2021 Fall
(This is part of Math666 Seminar in ring theory.)
Book and resources
Graphs and Matrices by Ravindra B. Bapat
Spectra of Graphs by Andries E. Brouwer and Willem H. Haemers
Combinatorics & Optimization, University of Waterloo: Algebraic Graph Theory Seminar playlist
Participants
Jephian Lin,
Anzila Laikhuram,
Daniel Radil
all others are welcome
General guidelines
As an audience
Before attending a talk. Check out the title/abstract and mark the words that you do not understand (yet).
During the talk. Make some notes, including keywords of definitions or theorems that you do not fully understand.
After the talk. Look up the keywords and learn what they are.
As a speaker
It is better to be slow and clear than fast but vague---if you need more time, we may postpone the next speaker.
Find corresponding proofs if not provided---see the references of the book.
It is okay to have something not understood---but please make some effort to understand as much as possible and identify the part that you don't understand.
Be prepared by the scheduled time, though the schedule might change.
Schedule
We follow the regular venue and time below; if there is any change, it will be announced through email.
Venue: SC4013
Time: Wednesday 10:10 ~ 12:00
Add TWAG schedule to your Google Calendar!
9/22 (semester not yet started)
9/29, Jephian Lin & Aida Abiad (online)
Jephian Lin: Inverse eigenvalue problem and zero forcing
Aida Abiad: Introduction to Spectral Graph Theory and Equitable Partitions
10/6, Anzila Laikhuram & Aida Abiad
Anzila Laikhuram
Aida Abiad: Applications of Interlacing to Graph Theory
10/13, Daniel Radil & Video
Daniel Radil
Video --- Algebraic Graph Theory: A covering graph perspective on Huang’s theorem
10/20, Jephian Lin & Video
Jephian Lin: Sensitivity conjecture
Video --- Algebraic Graph Theory: Flip graph on perfect matchings of complete graphs and sign reversal graphs
10/27, Anzila Laikhuram & Video
Anzila Laikhuram
Video --- Algebraic Graph Theory: Group Theory and the Erdős-Ko-Rado (EKR) Theorem
11/3, Daniel Radil & Video
Daniel Radil
Video --- Algebraic Graph Theory: Continuous Quantum Walks on Graphs
11/10, School birthday, no class
11/17, Jephian Lin & Lorenzo Ciardo
Jephian Lin: Matrix exponential
Lorenzo Ciardo: The characteristic set and other graph centers I
11/24, Anzila Laikhuram & Lorenzo Ciardo
Anzila Laikhuram
Loranzo Ciardo: The characteristic set and other graph centers II
12/1, Daniel Radil & Video
Daniel Radil
Video --- Algebraic Graph Theory: Decomposing discrete quantum walks into continuous quantum walks
12/8, Jephian Lin & Video
Jephian Lin
Video --- Algebraic Graph Theory: How do graph planarity and homomorphism counts relate to quantum mechanics?
12/15, Anzila Laikhuram & Maarten de Boeck
Anzila Laikhuram
Maarten de Boeck: Point-line geometries
12/22, Daniel Radil & Maarten de Boeck
Daniel Radil
Maarten de Boeck: Affine blocking sets
12/29, Jephian Lin & Pan Shun Lau & teaching questionnaire
Jephian Lin
Pan Shun Lau: Numerical Range: Interplay Between Geometry and Algebra
teaching questionnaire
1/5, Anzila Laikhuram & Pan Shun Lau
Anzila Laikhuram
Video --- Algebraic Graph Theory: State transfer and the size of the graph
1/12, Daniel Radil & Video
Daniel Radil
Video --- Algebraic Graph Theory: Laplacian Quantum Fractional Revival On Graphs
1/19, LA Tea
Pan Shun Lau: Generalized Numerical Range: Theories and Applications