Math 442 Assignments

General remarks

  1. 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.

  2.  
  3. 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.

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  5. 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 explanatory 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.


Assignment 1, due Thursday, January 15th

Covering classical problems

Problems 1, 2, 3, 4, 5, 6
 

Assignment 2, due Thursday, January 22nd

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

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


Assignment 3, due Thursday, January 29th

Covering Eulerian and Hamiltonian graphs, and applications

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


Assignment 4, due Thursday, February 5th

Covering planarity, Euler's Theorem and inequalities

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


Assignment 5, due Thursday, February 26th

Covering polyhedra, duals and line graphs

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


Assignment 6, due Thursday, March 5th

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

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


Assignment 7, due Thursday, March 12th

Covering the five colour theorem, face colouring, edge colouring

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


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