Rankin S.A., Robinson I.J.W. Discrete Mathematics: Number Theory, Modular Arithmetic, and Graph Theory

Kinson Publishing, 2013. — 309 p.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.