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DISCRETE MATHEMATICS
INTRODUCTION
Basics of Sets
COUNTING
The Basics of Counting
The Pigeonhole Principle
Permutations and Combinations
Binomial Coefficients
Generalized Permutations and Combinations
MATHEMATICAL INDUCTION
Mathematical Induction
Strong Induction
RECURRENCE RELATIONS
Introduction to Recurrence Relations
Linear Recurrence Relations
Generating Functions
Catalan Numbers
GRAPH THEORY
Introduction to Graph Theory
Vertex Degrees
Bipartite Graphs and Matchings
Connectivity
Euler and Hamilton Circuits
Adjacency and Incidence Matrices
Isomorphism
Planar Graphs
Coloring
Trees
Minimum Spanning Trees
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