Spring 2021 - MATH 445 D100

Graph Theory (3)

Class Number: 3549

Delivery Method: Remote

Overview

  • Course Times + Location:

    Mo, We, Fr 2:30 PM – 3:20 PM
    REMOTE LEARNING, Burnaby

  • Exam Times + Location:

    Apr 23, 2021
    7:00 PM – 10:00 PM
    REMOTE LEARNING, Burnaby

  • Prerequisites:

    MATH 345.

Description

CALENDAR DESCRIPTION:

Graph coloring, Hamiltonian graphs, planar graphs, random graphs, Ramsey theory, extremal problems, additional topics. Quantitative.

COURSE DETAILS:



This course will be delivered online.
 You are expected to have access to a reliable internet connection. You will need a computer from which you can download course materials and activities and watch live and/or recorded lectures and participate in live tutorials or workshops.

You will need a camera to take photographs of your work. A phone is acceptable.


Course Outline:

This is a continuation of MATH 345, where the student will learn more advanced materials. Essentially, we will cover Chapter 5, 6, 7 and a part of 8 (as time and interest permits) of the textbook.

V. Graph Colourings:

    * Upper bounds for Chromatic number, structure of k-chromatic graphs, enumerative aspects

VI. Graph Embeddings

    * Euler's Formula, Characterization of planar graphs, parameters of embeddings

VII. Edges and Cycles

    * Line graphs, edge colouring, Hamiltonian cycles, planarity and cycles

VIII. Additional Topics

    * Depending on time and interest, some of the following topics will be studied: Perfect Graphs, Matroids, Ramsey Theory, External Problems, Random Graphs, Eigenvalues of Graphics


COURSE DELIVERY

  •  Lecture: synchronous- lectures will be held at fixed times, on-line
  •  Midterm(s): synchronous; date: TBA
  •  Final exam: synchronous; date: TBA


Note: this is a cross-listed course with MATH 745.

Grading

  • 5 Homeworks: (3% each) (Graduate students will have an extended set of problems.) 15%
  • Midterm 25%
  • In Class Presentation (Graduate students will present and submit a project) 30%
  • Final Exam 30%

NOTES:

THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.

Students should be aware that they have certain rights to confidentiality concerning the return of course papers and the posting of marks. Please pay careful attention to the options discussed in class at the beginning of the semester
 

Materials

REQUIRED READING:

Introduction to Graph Theory
2nd Edition
Author: DB West
Publisher: Pearson
ISBN: 0130144002

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity web site http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating.  Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the University community.  Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html

TEACHING AT SFU IN SPRING 2021

Teaching at SFU in spring 2021 will be conducted primarily through remote methods. There will be in-person course components in a few exceptional cases where this is fundamental to the educational goals of the course. Such course components will be clearly identified at registration, as will course components that will be “live” (synchronous) vs. at your own pace (asynchronous). Enrollment acknowledges that remote study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes. To ensure you can access all course materials, we recommend you have access to a computer with a microphone and camera, and the internet. In some cases your instructor may use Zoom or other means requiring a camera and microphone to invigilate exams. If proctoring software will be used, this will be confirmed in the first week of class.

Students with hidden or visible disabilities who believe they may need class or exam accommodations, including in the current context of remote learning, are encouraged to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112).