Seminar - 2022 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
University of Manitoba: 05C50 online
Mathematical Institute, Oxford University: Fresh from the ArXiv
Participants
Jephian Lin,
Hexuan Liu,
Wei You Ding, Celeste Fu, Sheng Yu Tang,
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 2:10 pm ~ 4:00 pm
Add TWAG schedule to your Google Calendar!
9/7
Jephian Lin: Inverse eigenvalue problem and zero forcing
Video --- AGT: Strong Cospectrality in Trees
9/14
Celeste Fu
Video --- AGT: New Characterizations of Distance-Biregular Graphs
9/21
Hexuan Liu
Video --- AGT: Graphical Designs and Gale Duality
9/28
Wei-You Ding
Video --- Daniel Spielman “Miracles of Algebraic Graph Theory”
10/5
唐聖育
Video --- Daniel A. Spielman - The Laplacian Matrices of Graphs
10/12
Joyentanuj Das
Video --- Daniel Spielman - Sparsification of Graphs and Matrices
10/19
Anzila Laikhuram
Video --- Michal Gnacik: The inverse eigenvalue problem for symmetric doubly stochastic matrices
10/26
Jephian Lin
Video --- Melanie Weber: Discrete Curvature and Applications in Representation Learning
11/2
Celeste Fu
Video --- Mihai Cucuringu: Spectral methods for clustering signed and directed networks
11/9
Hexuan Liu
Video --- Mihai Cucuringu: Spectral methods for clustering signed and directed networks
11/16
李勇昇
Video --- Mihai Cucuringu: Spectral methods for clustering signed and directed networks
11/23
Wei-You Ding
Video --- Michael Schaub: Signal processing on graphs and complexes
11/30
唐聖育
Video --- Michael Schaub: Signal processing on graphs and complexes
12/7
Joyentanuj Das
Video --- Michael Schaub: Signal processing on graphs and complexes
12/14
Celeste Fu
Video --- Leo Torres: X-centrality, node immunization, and eigenvector localization
12/21
Anzila Laikhuram
Video --- AGT: Equiangular lines and eigenvalue multiplicities
12/28
Reading week (no class)
1/4
Reading week (no class)