The topics covered are: Konigsburg bridge problem,
Knight's tour, sprouts, dice walks, parse trees, alkanes, people at a
party, complement, isomorphic, subgraphs, matrix representations, types
of graphs, Eulerian graphs, Hamiltonian graphs, planarity,
contractible, homeomorphic.

Extra office hour: Monday February 4th 3-4pm.

Practice questions: 1.4, 1.5, 1.20, 2.20, 2.33, 4.4 (justify your
answer). Answers are in the back of the book.

Some study hints:

- This is a Math Majors course, which means the exam will be about 50% proofs 50% calculation. You will be expected to prove results like on the homework, or in class.
- To study efficiently make sure you know the definitions, the algorithms/methods for computing things, the formulas for things, and results/proof methods we use most often. Perhaps write them in your own words, or explain them to a friend.
- Do the lecture examples, practice questions and old homeworks again without looking at the answers.
- Go through the posted homework solutions to gain another point of view on solving the questions.
- In the exam: If you
get stuck on a problem in the exam then write down relevant definitions
accurately. This will help to inspire you and pick up points for
working. If you use a result from class say "From the result in
class..." then state the result so the grader knows this isn't made up.

The topis covered are: Konigsburg bridge problem, Knight's tour, sprouts, dice walks, parse trees, alkanes, people at a party, complement, isomorphic, subgraphs, matrix representations, types of graphs, Eulerian graphs, Hamiltonian graphs, planarity, contractible, homeomorphic, polyhedra, colouring, chromatic number, chromatic poynomial, face colouring, edge colouring, chromatic index, scheduling, trees, Prufer sequences, BFS, DFS, shortest/longest path, minimal spanning trees, travelling saleman problem, digraphs, network flows, max flow-min cut, critical path analysis, latin squares.

Office hours: Monday April 22nd 10.30am-12pm.

Practice questions: 1.37, 1.48, 2.15, 2.36, 2.42, 3.9, 4.26, 5.7,
5.9, 6.20. Answers are in the back of the book.

Some study hints:

- This is a Math Majors course, which means the exam will be about 50% proofs 50% calculation. You will be expected to prove results like on the homework, or in class.
- To study efficiently make sure you know the definitions, the algorithms/methods for computing things, the formulas for things, and results/proof methods we use most often. Perhaps write them in your own words, or explain them to a friend.
- Do the lecture examples, practice questions and old homeworks again without looking at the answers.
- Go through the posted homework solutions to gain another point of view on solving the questions.
- In the exam: If you get stuck on a problem in the exam then write down relevant definitions accurately. This will help to inspire you and pick up points for working. If you use a result from class say "From the result in class..." then state the result so the grader knows this isn't made up.

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