Introduction to Graphs
Publisher: Wikipedia 2014
Contents: Introduction; The Basics; Tree; Multigraph; Extremal graph theory; Graph Traversal; Analysis; Example Applications of Graph Theory; Travelling salesman problem; Route inspection problem; Hamiltonian path problem; etc.
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by David Guichard - Whitman College
The book covers the classic parts of Combinatorics and graph theory, with some recent progress in the area. Contents: Fundamentals; Inclusion-Exclusion; Generating Functions; Systems of Distinct Representatives; Graph Theory; Polya-Redfield Counting.
by Russell Lyons, Yuval Peres - Cambridge University Press
This book is concerned with certain aspects of discrete probability on infinite graphs that are currently in vigorous development. Of course, finite graphs are analyzed as well, but usually with the aim of understanding infinite graphs and networks.
by Reinhard Diestel - Springer
Textbook on graph theory that covers the basics, matching, connectivity, planar graphs, colouring, flows, substructures in sparse graphs, Ramsey theory for graphs, hamiltonian cycles, random graphs, minors, trees, and WQO.
by Christopher P. Mawata - Math Cove
This comprehensive text covers the important elementary topics of graph theory and its applications. It presents a variety of proofs designed to strengthen mathematical techniques and offers challenging opportunities to have fun with mathematics.