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.
Home page url
Download or read it online for free here:
by Alexander Schrijver
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.
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 Daniel Ullman, Edward Scheinerman - Wiley
In this book the authors explore generalizations of core graph theory notions by allowing real values to substitute where normally only integers would be permitted. The aim is to prove fractional analogues of the theorems of traditional graph theory.
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.