Graph Theory
Mathematics 428 — Fall 2010

Prof. Weibel

Tentative Course Syllabus   (go to homework table)

Week Lecture dates Sections topics
19/2 (Thurs) 1.1-1.2 Definitions and Degree
29/8(W), 9/9(Th) 1.3; 2.1-2.3Degree, Paths and distance
39/13, 9/16 2.3-2.6Euler and Hamiltonian cycles, Travelling Salesman
49/20, 9/23 3.1-3.3Connectivity and bridges
59/27, 9/30 4.1-4.3Trees
610/4, 10/7 5.1-5.5Vector spaces and graphs
610/11, 10/14 1.1-5.5Review, Midterm
710/18, 10/21 6.1-6.3Factorization and Matchings, Marriage Theorem
810/25, 10/28 7.1-7.3Vertex colorings
911/1, 11/4 7.4-5, 8.1-8.3Edge corings, Planar graphs
1011/8, 11/11 9.1-9.3Labelled graphs
1111/15, 11/18 11.1-11.3Oriented Graphs, Midterm
1211/22-26 ---No classes
1311/29, 12/2 12.1-12.3Critical Paths
1412/6, 12/9 13.1-13.5Network Flows
1512/13(M)Review
XX12/21(Tues)Final Exam (8-11 AM)

Due dateHomework Section/Problems
9/9/091.1 #3,5;   1.2 #3,11;   1.3 #3,7
Syllabus in Catalogue: Colorability, connectedness, tournaments, eulerian and hamiltonian paths, orientability, and other topics from the theory of finite linear graphs, with an emphasis on applications chosen from social, biological, computer science, and physical problems.


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Charles Weibel / Fall 2010