Course: MCS 423, Graph Theory

CRN: 38586 and 38587

Time: MWF 1100-1150am

Place: Taft Hall 219

Professor: Dhruv Mubayi

Office: 620 SEO

Tel: 3-8036

E-mail: mubayi@uic.edu

Course Web Page: http://www.math.uic.edu/~mubayi/423/Fall19/423Fall19info.html

Office Hours: M 1-3

Grading Policies (tentative):

Attendance and class participation: 15%

Homework (Due Friday every two weeks): 20%

Two in-class midterms, 15% each: 30%

Final Exam: 35%

Be sure to staple your homework. No late homework will be accepted.

Disability Policy: Students with disabilities who require accommodations for access and participation in this course must be registered with the Office of Disability Services (ODS). Please contact ODS a 312/413/-2183 (voice) or 312/413-0123 (TTY).

Prerequisite: GRADE OF C OR BETTER IN MCS 261 OR EECS 360; AND MATH 310 OR 320 OR 330.

Description: The fundamentals of graph theory: trees, connectivity, Euler tours, Hamilton cycles, matchings, colorings and Ramsey theory. Although applications and some graph algorithms will be included, the course will focus on understanding the structure and properties of graphs as independent objects of study. We will attempt to cover most of Chapters 1--7 and Section 8.3 from the text.

Text: West, Introduction to Graph Theory, Second Edition, Prentice Hall.

Tentative Schedule:Homework 1, Due Friday September 13

Section 1.1: 2--9, 18, 26, 27, 34

Homework 2, Due Friday September 27

Section 1.2: 1, 7, 8, 10, 20, 40

Section 1.3: 1, 2, 7, 8 b d, 9, 17, 31

Section 1.4: 4, 5, 7, 8, 26

Homework 3, Due Friday October 11

Section 2.1: 2, 4, 15, 18, 40

Section 2.2: 1, 2, 3

Section 2.3: 1, 2, 3, 6

Test 1 -- Monday Oct 14

Homework 4, Due Friday October 25

2.3: 10

3.1: 1, 2, 3, 5, 7, 8, 11, 19, 29

3.2: 4

Homework 5, Due Friday November 8

3.3: 1, 4, 6, 19, 22

4.1: 3, 4, 6, 8, 28

Homework 6, Due Friday November 22

4.2: 1, 2, 4, 11, 20, 23, 24

4.3: 1, 6, 7, 10, 12

5.1: 1, 2, 3, 7, 12, 39

TEST 2 -- Monday November 25

Homework 7, Due Friday December 6 (last homework)

5.2: 7, 12a

6.1: 10, 12, 26c

6.2: 4

7.1: 2, 4

7.2: 3, 7, 25