An Introduction to Combinatorics and Graph Theory
by David Guichard
Publisher: Whitman College 2017
Number of pages: 153
This book walks the reader through the classic parts of Combinatorics and graph theory, while also discussing some recent progress in the area. Contents: Fundamentals; Inclusion-Exclusion; Generating Functions; Systems of Distinct Representatives; Graph Theory; Polya-Redfield Counting.
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by William Chen - Macquarie University
Contents: Uniform Distribution; Classical Discrepancy Problem; Generalization of the Problem; Introduction to Lower Bounds; Introduction to Upper Bounds; Fourier Transform Techniques; Upper Bounds in the Classical Problem; Disc Segment Problem; etc.
by Klaus Truemper - Leibniz
Matroids were introduced in 1935 as an abstract generalization of graphs and matrices. Matroid decomposition covers the area of the theory dealing with decomposition and composition of matroids. The exposition is clear and simple.
by Philippe Flajolet, Robert Sedgewick - Cambridge University Press
Deals with the the analysis of discrete structures, that emerged over the past years as an essential tool in the understanding of computer programs and models with applications in science. The text contains examples and exercises.
by Mitchel T. Keller, William T. Trotter - Georgia Institute of Technology
The purpose of the course is to give students a broad exposure to combinatorial mathematics, using applications to emphasize fundamental concepts and techniques. Our approach to the course is to show students the beauty of combinatorics.