Math 442 Assignments

Homework should be legible and neat, questions should be answered in order, and pages should be fastened with a staple with your name and student number on at least the front page in pen.

Homework will be collected on Thursdays at the start of class and will cover the material through Tuesday's lecture (roughly). You should start attempting the problems as soon as possible after the material is presented in lecture. Please don't save it all for Wednesday night.

Solutions should be written carefully, using good English, complete sentences, and adequate detail, with citations from the book or notes. Some of these solutions will be expanatory proofs. A good guideline here is that you should write proofs the way you would like to see them in your textbook. In summary, show all your working to get full marks.

Covering classical problems

Problems 1, 2, 3, 4, 5, 6

Covering basic theory, complement, isomorphism, representations and types of graphs

Problems 7, 8, 9, 10, 11, 12

Covering Eulerian and Hamiltonian graphs, and applications

Problems 13, 14, 15, 16, 17, 18

Covering planarity, Euler's Theorem and inequalities

Problems 19, 20, 21, 22, 23, 24

Covering polyhedra, duals and line graphs

Problems 25, 26, 27, 28, 29, 30

Covering colouring, the chromatic polynomial and number, deletion-contraction

Problems 31, 32, 33, 34, 35, 36

Covering the five colour theorem, face colouring, edge colouring

Problems 37, 38, 39, 40, 41, 42

Covering scheduling problems, classical results on trees

Problems 43, 44, 45, 46, 47, 48

Covering spanning trees, Prufer sequences, and applications of Prufer sequences

Problems 49, 50, 51, 52, 53, 54

Covering BFS and DFS, shortest paths, minimal spanning trees

Problems 55, 56, 57, 58, 59, 60

Covering TSP, digraphs and applications, latin squares and matchings

Problems 61, 62, 63, 64, 65, 66

Back to course home page.