Week 1 | Class Topic | Homework From |
9/4 | Introduction & Basic Definitions | HW1 (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 |