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• Title: Advances in Graph Algorithms
• Authors Ton Kloks, Yue-Li Wang
• Publisher: Vixra.org (October 10, 2013)
• Paperback: N/A
• eBook: PDF (178 pages, 1.1 MB)
• Language: English
• ISBN-10: N/A
• ISBN-13: N/A

Book Description

This is a book about some currently popular topics such as exponential algorithms, fixed-parameter algorithms and algorithms using decomposition trees of graphs. Especially for this last topic the authors found it necessary to include a chapter on graph classes.

The authors prepared this book as a course textbook for our students in Taiwan. The aim was to write a book about some currently popular topics such as exponential algorithms, fixed-parameter algorithms and algorithms using decomposition trees of graphs. Especially for this last topic the authors found it necessary to include a chapter on graph classes. The chapter on decomposition trees includes some basics of the graph minor theory and such topics as tree decompositions and rank decompositions. To explain these concepts we found it beneficial to include a chapter which explains the classes of chordal graphs and distance-hereditary graphs.

After each chapter we included some basic exercises. For experienced students these exercises are probably too easy. We made the decision to concentrate on elementary exercises in order not to distract the student too much from the main topics. The exercises are primarily meant as a check for the students that they understand the material of the chapter.

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• Algorithmic Graph Theory (David Joyner, et al)

This is an introductory book on algorithmic graph theory. Theory and algorithms are illustrated using the Sage open source mathematics software. It's especially suitable for computer scientists and mathematicians interested in computational complexity.

• Graph Theory - Advanced Algorithms and Applications

Not only will the methods and explanations help you to understand more about graph theory, but you will find it joyful to discover ways that you can apply graph theory in your applications or scientific research.

• Graph Algorithms: Practical Examples in Apache Spark and Neo4j

This book is a practical guide to getting started with graph algorithms for developers and data scientists who have experience using Apache Spark or Neo4j. You'll walk through hands-on examples that show you how to use graph algorithms in Apache Spark/Neo4j.

• Graph Theory and Complex Networks (Maarten van Steen)

This book aims to explain the basics of graph theory that are needed at an introductory level for students in computer or information sciences. It also aims to provide an introduction to the modern field of network science.

• Graph Theory (Reinhard Diestel)

This book covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses of more advanced methods in each field by one or two deeper results, again with proofs given in full detail.

• Probability on Trees and Networks (Russell Lyons, et al.)

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.

• Random Graphs and Complex Networks (Remco van der Hofstad)

This rigorous introduction to network science presents Random Graphs as models for real-world networks. Such networks have distinctive empirical properties and a wealth of new models have emerged to capture them.

• Digraphs: Theory, Algorithms and Applications (J. Bang-Jensen)

This book is an essential, comprehensive reference of Digraphs covering the theoretical aspects of the subject, focus on applications which include quantum mechanics, bioinformatics, embedded computing, and the travelling salesman problem.

• New Frontiers in Graph Theory (Yagang Zhang)

The purpose of this 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.

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