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 Yanpei Liu - Kapa & Omega
As an introductory book, this book contains the elementary materials in map theory, including embeddings of a graph, abstract maps, duality, orientable and non-orientable maps, isomorphisms of maps and the enumeration of rooted or unrooted maps.
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 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 Ton Kloks, Yue-Li Wang - viXra.org
This is a book about some currently popular topics such as exponential algorithms, fixed-parameter algorithms and algorithms using decomposition trees of graphs. For this last topic we found it necessary to include a chapter on graph classes.