Math 428: Graph Theory

Fall 2014



Week 1 Class Topic Homework From
9/4 Introduction & Basic DefinitionsHW1 (Solutions)

Week 2
9/8 Regular Graphs
9/11 Degree Sequences HW2(Solutions)

Week 3
9/15 Graph Isomorphisms
9/18 Connected Graphs HW3(Solutions)

Week 4
9/22 Trees
9/25 More Trees HW4(Solutions)

Week 5
9/29 Enumeration of Trees: Cayley and Prüfer
10/2 Minimum Spanning Tree Algorithms HW5 (Solutions)

Week 6
10/6 Minimum Distance Problem: Dijkstra Practice Problems (Solutions)
10/9 Connectivity:Bridges & Cut-Vertices

Week 7
10/13 Exam #1 (Solutions)
10/16 Bridges & Cut-Vertices (Con't) HW6 (Solutions)

Week 8
10/20 Connectivity: Vertex and Edge Cuts
10/23 Connectivity HW7 (Solutions)

Week 9
10/27 Menger & Whitney
10/30 Menger & Whitney (Con't) HW8 (Solutions)

Week 10
11/3 Eulerian Graphs
11/6 Hamiltonian Graphs Practice Problems (Solutions)

Week 11
11/10 Matchings: Hall's Theorem
11/13 Exam #2: No Class (Solutions)

Week 12
11/17 Edge Covering & Independence HW9 (Solutions)
11/20 Planar Graphs

Week 13
11/24 Planar Graphs (Kuratowski's Theorem) HW10 (Solutions)
11/27 Thanksgiving Recess

Week 14
12/1 Graph Coloring
12/4 Graph Coloring (Con't)

Week 15
12/8 Exam #3