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 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 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 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.
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.