Math589 Topological Methods in Graph Theory | 圖論中的拓樸方法


Announcement


Course Info top

Textbook

Algorithmic Graph Theory and Sage [pdf]
   David Joyner, Minh Van Nguyen, and David Phillips

Using the Borsuk–Ulam Theorem
   Jiří Matoušek
***** electronic version available at the library *****Course website

Learning objectives

Graph theory is a universal tool to model many objects, including computer networks, social networks, relationships, and so on. As time goes by, various disciplines in mathematics have come into graph theory and provided fruitful results; algebraic topology is one of them. This course will give a gentle introduction to graph theory and algebraic topology, and we will see how topology solves graph theory problems.

Outlines

Evaluation

(2% HW)*12 + (24% Midterm)*2 + 28% Final exam


Tentative Schedule top


Homework/Quiz top

Weekly homework. No quizzes. Starting from HW4, the homework should be type through LaTeX and submitted through CoCalc.


Policies/Ethics top

Accessibility

Students with diverse learning styles and needs are welcome in this course. In particular, if you have a disability/health consideration that may require accommodations, please feel free to approach me.

Grading

Percentage scores will be converted to letter grades according to the university-wide standard table.

Attendance

You are expected to attend the classes.

Missing work

If you miss some course components due illness, accident, family affliction, or religious observances, please talk to me and provide the documentation. In such cases, the course component is excused, and your course score will be calculated by distributing the weight of the missed item(s) across the other course components. Missing components are limited to at most 20%.