Seminar - 2021 Spring

(This is part of Math675 Seminar in graph coloring.)

Book

TBA by ???

Participants

Jephian Lin, Wei-Liang Sun

Anzila Laikhuram, Jin-Yu Liu

Guan-Ying Chen, Ling-Yi Huang, Ting-Ying Li, Daniel Radil, Chi Wei

Min-Ru Chen, Wei-Chieh Chen

all others are welcome

General guidelines

  • 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 annotated in the schedule.

Venue: SC4011-2

Time: Thursday 10:10 ~ 12:00

Add TWAG schedule to your Google Calendar!

  1. 2/25, Jephian Lin & Wei-Liang Sun

Jephian Lin: title

Wei-Liang Sun: Introduction to Representation Theory of Finite Groups (see course webpage)

  1. 3/4, Chi Wei, Ting-Ying Li & Wei-Liang Sun

Chi Wei: Zero forcing and Wavefront algorithm

Ting-Ying Li: Matrices associated with a graph

Wei-Liang Sun: Equivalent Representations and Characters (see course webpage)

  1. 3/11, Daniel Radil, Guan-Ying Chen & Wei-Liang Sun

Daniel Radil: A Brief Introduction to Spectral Clustering.

Guan-Ying Chen: The multiplicity of the second smaller eigenvalue for product graph

Wei-Liang Sun: A Power of Characters (see course webpage)

  1. 3/18 Min-Ru Chen, Wei-Chieh Chen & Wei-Liang Sun

Min-Ru Chen: The inverse eigenvalue problem on Jacobi matrices

Wei-Chieh Chen: Zero Forcing in Claw-Free Cubic Graphs

Wei-Liang Sun: Examples for Representations of Nonabelian Groups (see course webpage)

  1. 3/25 Wei-Liang Sun

Wei-Liang Sun: Reducibility of Representations (see course webpage)

  1. 4/1Anzila Laikhuram, Jin-Yu Liu & Wei-Liang Sun

Anzila Laikhuram: The continuity argument and matrix functions

Jin-Yu Liu: Geodetic sets and Steiner sets in graphs

Wei-Liang Sun: Irreducible Representations (see course webpage)

  1. 4/8 Ling-Yi Huang Jephian Lin & Wei-Liang Sun

Ling-Yi Huang: AB and BA have the same nonzero eigenvalues

Jephian Lin: Minimal polynomial

Wei-Liang Sun: new title (see course webpage)

  1. 4/15 Chi Wei, Ting-Ying Li & Wei-Liang Sun

Chi Wei: Zero forcing for loop graphs

Ting-Ying Li: Rayleigh qutient的相關性質

Wei-Liang Sun: The Regular Representation (see course webpage)

  1. 4/22 Daniel Radil, Guan-Ying Chen & Wei-Liang Sun

Daniel Radil: Minimizing Cuts

Guan-Ying Chen: The multiplicity of the second smaller eigenvalue for product graph

Wei-Liang Sun: Conjugacy Classes and The Character Table (see course webpage)

  1. 4/29 Min-Ru Chen, Wei-Chieh Chen & Wei-Liang Sun

Min-Ru Chen: The inverse eigenvalue problem on Jacobi matrices

Wei-Chieh Chen: zero forcing set in claw free cubic set(2 triangles)

Wei-Liang Sun: Inner Product and Orthogonality Relations (see course webpage)

  1. 5/6


  1. 5/13 Ling-Yi Huang, Jephian Lin & Wei-Liang Sun

Ling-Yi Huang: Characterizations of normal matrices

Jephian Lin: Moore--Penrose pseudoinverse

Wei-Liang Sun: Young Tableaux (see course webpage)

  1. 5/20

  2. 5/27

  3. 6/3

  4. 6/10

  5. 6/17

  6. 6/24

Keywords to be explored later


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