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Number Theory and Modular Arithmetic
Integer Arithmetic
Prime Numbers and the Prime Decomposition Theorem
Modular Arithmetic
The Day of the Week
Linear Congruences
Modular Representation and the Euler ϕ-function
Public Key Encryption
Graph Theory
Basic Concepts
Graph Isomorphism
Walks, Paths, Circuits and Cycles
Connectedness
Trees
Rooted Trees
Bipartite and Multipartite Graphs
Turan’s Extremal Theorem
Eulerian and Hamiltonian Graphs
Planar Graphs
Vertex Colourings
Face Colouring Plane Graphs
Edge Colourings
Chromatic Polynomials