Advanced Graph Theory and Combinatorial Optimization
by Alexander Schrijver
Number of pages: 64
From the table of contents: Shortest trees and branchings; Matchings and covers; Edge-colouring; Multicommodity flows and disjoint paths; Matroids; Perfect matchings in regular bipartite graphs; Minimum circulation of railway stock.
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by Beril Sirmacek (ed.) - InTech
Not only will the methods and explanations help you to understand more about graph theory, but you will find it joyful to discover ways that you can apply graph theory in your scientific field. The very basics are not explained at the beginner level.
by Alexander K. Hartmann, Martin Weigt - arXiv
Graph theory provides fundamental concepts for many fields of science like statistical physics, network analysis and theoretical computer science. Here we give a pedagogical introduction to graph theory, divided into three sections.
by Tero Harju - University of Turku
These are introductory lecture notes on graph theory. Contents: Introduction (Graphs and their plane figures, Subgraphs, Paths and cycles); Connectivity of Graphs; Tours and Matchings; Colourings; Graphs on Surfaces; Directed Graphs.
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.