**Instructor:** Robin Thomas

**Textbook:** Diestel, Graph Theory.

**Other texts you may wish to consult:**

Bollobas, Modern Graph Theory (recommended source)

West, Introduction to Graph Theory

Bondy and Murty, Graph Theory with Applications

Even, Graph Algorithms

Lovasz, Combinatorial Problems and Exercises

Notes on planar graphs

**Lecture Schedule:** Fundamentals, Matching, Connectivity,
Planar graphs,
Coloring, Extremal Problems, Ramsey Theory, Random Graphs.

Pfaffian orientations

Application to algebra

The discharging method

A simple planarity algorithm

Eigenvalues and expanders

The Nielsen-Schreier Theorem

Extremal Graph Theory Part 1

**Grades:** Approximately 30% homework, 30% midterm, 40% final.

**Midterm exam**.
You will be asked to solve problems similar to proofs done in class or
problems assigned in the problem sets below.
You will be permitted to bring one letter size sheet of notes,
one-sided only,
and you will be required to turn it in at the conclusion of the
examination.

**Problem sets:** Problem sets will be posted here. You should be
able to solve these problems, because they and their variations will
appear in both the midterm and the final exam.

Week 1 problems

Week 2 problems

Week 3 problems

Week 4 problems

Week 5 problems

Week 6 problems

Week 7 problems

Week 8 problems

Week 9 problems

Week 10 problems

There are no week 11 problems

Week 12 problems

There are no week 13 problems

**Final examination.**
The examination is scheduled for Tuesday, December 9 at 11:30 in Skiles 246.
You will be permitted to bring one letter size sheet of notes,
one-sided only,
and you will be required to turn it in at the conclusion of the
examination.
You may be asked to state theorems we covered in class.

**Homework:** Each homework problem must be turned in on
one-sided letter
size paper. The text must be typed in 10pt font or larger. Figures and
mathematical
formulae may be drawn by hand in black ink. Do not fold pages or bend
corners.
Your work must be scannable at 300dpi. Electronic submission is allowed
only
in pdf format. Due dates will be strictly enforced. Clarity of
exposition,
ease of expression, mathematical elegance and overall physical
appearance
will all be factors in grading. A signed cover page
must accompany each submission.

Homework 1. Solution is available on t-square.

Homework 2. Solutions are available on t-square.

Homework 3. Solutions are available on t-square.

Homework 4. Solutions are available on t-square.

Homework 5. Due November 25.

**Honor Code:** Discussing class material including problem sets is encouraged. However, no
collaboration is allowed on problems assigned for homework, midterm or final.

**Office hours:** TBD

**Office:** 217B Skiles.

**This document:** http://www.math.gatech.edu/~thomas/TEACH/6014