Graph Theory

e-books in Graph Theory category

An  Introduction to Combinatorics and Graph TheoryAn Introduction to Combinatorics and Graph Theory
by David Guichard - Whitman College , 2017
The book covers the classic parts of Combinatorics and graph theory, with some recent progress in the area. Contents: Fundamentals; Inclusion-Exclusion; Generating Functions; Systems of Distinct Representatives; Graph Theory; Polya-Redfield Counting.
Probability on Trees and NetworksProbability on Trees and Networks
by Russell Lyons, Yuval Peres - Cambridge University Press , 2016
This book is concerned with certain aspects of discrete probability on infinite graphs that are currently in vigorous development. Of course, finite graphs are analyzed as well, but usually with the aim of understanding infinite graphs and networks.

Handbook of Graph Drawing and VisualizationHandbook of Graph Drawing and Visualization
by Roberto Tamassia (ed.) - CRC Press , 2013
The Handbook provides a broad, up-to-date survey of the field of graph drawing. It covers topological and geometric foundations, algorithms, software systems, and visualization applications in business, education, science, and engineering.
Introductory Map TheoryIntroductory Map Theory
by Yanpei Liu - Kapa & Omega , 2010
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.
Advances in Graph AlgorithmsAdvances in Graph Algorithms
by Ton Kloks, Yue-Li Wang - , 2013
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.
Intersection Graphs: An IntroductionIntersection Graphs: An Introduction
by Madhumangal Pal - arXiv , 2014
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.
Introduction to GraphsIntroduction to Graphs
- Wikipedia , 2014
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.
New Frontiers in Graph TheoryNew Frontiers in Graph Theory
by Yagang Zhang (ed.) - InTech , 2012
The purpose of this Graph Theory book is not only to present the latest state and development tendencies of graph theory, but to bring the reader far enough along the way to enable him to embark on the research problems of his own.
Graph TheoryGraph Theory
by Keijo Ruohonen - Tampere University of Technology , 2008
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.
Advanced Graph Theory and Combinatorial OptimizationAdvanced Graph Theory and Combinatorial Optimization
by Alexander Schrijver , 2012
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.
Algorithmic Graph TheoryAlgorithmic Graph Theory
by David Joyner, Minh Van Nguyen, Nathann Cohen - Google Code , 2010
An introductory book on algorithmic graph theory. Theory and algorithms are illustrated using the Sage open source software. The text covers graph algorithms, trees and forests, distance and connectivity, optimal graph traversals, planar graphs, etc.
Introduction to GraphsIntroduction to Graphs
by Alexander K. Hartmann, Martin Weigt - arXiv , 2006
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.
Fractional Graph Theory: A Rational Approach to the Theory of GraphsFractional Graph Theory: A Rational Approach to the Theory of Graphs
by Daniel Ullman, Edward Scheinerman - Wiley , 2008
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.
Lecture Notes on Graph TheoryLecture Notes on Graph Theory
by Tero Harju - University of Turku , 2011
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.
Digraphs: Theory, Algorithms and ApplicationsDigraphs: Theory, Algorithms and Applications
by Jorgen Bang-Jensen, Gregory Gutin - Springer , 2002
Digraphs presents a comprehensive survey of the study of directed graphs. It covers theoretical aspects with detailed proofs, and some algorithms and applications. The essential textbook and reference for graduate students and researchers.
Graph Theory With ApplicationsGraph Theory With Applications
by J.A. Bondy and U.S.R. Murty - Elsevier Science Ltd , 1976
A coherent introduction to graph theory, a textbook for advanced undergraduates or graduates in computer science and mathematics. A systematic treatment of the theory of graphs, Common proofs are described and illustrated with lots of exercises.
Graph TheoryGraph Theory
by Reinhard Diestel - Springer , 2005
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.