Algorithmic Graph Theory
by David Joyner, Minh Van Nguyen, Nathann Cohen
Publisher: Google Code 2010
Number of pages: 105
This is an introductory book on algorithmic graph theory. Theory and algorithms are illustrated using the Sage open source mathematics software. Contents: Introduction to Graph Theory; Graph Algorithms; Trees and Forests; Distance and Connectivity; Optimal Graph Traversals; Planar Graphs; Graph Coloring; Network Flows; Random Graphs; Graph Problems and Their LP Formulations.
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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 Keijo Ruohonen - Tampere University of Technology
These lecture notes form the base text for a Graph Theory course. The text contains an introduction to basic concepts and results in graph theory, with a special emphasis put on the network-theoretic circuit-cut dualism.
by Madhumangal Pal - arXiv
Intersection graphs are important in both theoretical as well as application point of view. Different type of intersection graphs are defined, among them interval, circular-arc, permutation, trapezoid, chordal, disk, circle graphs are more important.
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.