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Discrete Mathematics I (ECS201) Semester I, 2019-20 at IISER Bhopal
Discrete Mathematics I (ECS201) Semester I, 2019-20 at IISER Bhopal
Course Contents:
Course Contents:
- Mathematical proofs, proofs by induction, by contradiction, proving the contrapositive.
- Basic counting techniques, pigeon-hole principle, recurrence relations, generating functions, principle of inclusion and exclusion, Mobius inversion.
- Graphs, trees - definitions. Connectivity, paths, cycles, Eulerian walks, Hamiltonian cycles, cliques, colourings, graph matching, planarity.
- Some other topics from combinatorics and graph theory.
Books and References:
Books and References:
- Discrete Mathematics and Its Applications by Kenneth H Rosen, Seventh Edition, McGraw Hill.
- Basic Techniques of Combinatorial Theory by Daniel I.A. Cohen.
- Introduction to Graph Theory, 2nd Edition by Douglas B West
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