Algorithms For Random Generation And Counting A Markov Chain Approach

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Algorithms for Random Generation and Counting: A Markov Chain Approach

Author : A. Sinclair
Publisher : Springer Science & Business Media
ISBN 13 : 1461203236
Total Pages : 156 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Algorithms for Random Generation and Counting: A Markov Chain Approach by : A. Sinclair

Download or read book Algorithms for Random Generation and Counting: A Markov Chain Approach written by A. Sinclair and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a slightly revised version of my PhD thesis [86], com pleted in the Department of Computer Science at the University of Edin burgh in June 1988, with an additional chapter summarising more recent developments. Some of the material has appeared in the form of papers [50,88]. The underlying theme of the monograph is the study of two classical problems: counting the elements of a finite set of combinatorial structures, and generating them uniformly at random. In their exact form, these prob lems appear to be intractable for many important structures, so interest has focused on finding efficient randomised algorithms that solve them ap proxim~ly, with a small probability of error. For most natural structures the two problems are intimately connected at this level of approximation, so it is natural to study them together. At the heart of the monograph is a single algorithmic paradigm: sim ulate a Markov chain whose states are combinatorial structures and which converges to a known probability distribution over them. This technique has applications not only in combinatorial counting and generation, but also in several other areas such as statistical physics and combinatorial optimi sation. The efficiency of the technique in any application depends crucially on the rate of convergence of the Markov chain.

Algorithms for Random Generation and Counting

Author : Alistair Sinclair
Publisher :
ISBN 13 : 9783764336585
Total Pages : 146 pages
Book Rating : 4.3/5 (365 download)

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Book Synopsis Algorithms for Random Generation and Counting by : Alistair Sinclair

Download or read book Algorithms for Random Generation and Counting written by Alistair Sinclair and published by . This book was released on 1993 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Randomized Algorithms: Approximation, Generation, and Counting

Author : Russ Bubley
Publisher : Springer Science & Business Media
ISBN 13 : 1447106954
Total Pages : 167 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Randomized Algorithms: Approximation, Generation, and Counting by : Russ Bubley

Download or read book Randomized Algorithms: Approximation, Generation, and Counting written by Russ Bubley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Randomized Algorithms discusses two problems of fine pedigree: counting and generation, both of which are of fundamental importance to discrete mathematics and probability. When asking questions like "How many are there?" and "What does it look like on average?" of families of combinatorial structures, answers are often difficult to find -- we can be blocked by seemingly intractable algorithms. Randomized Algorithms shows how to get around the problem of intractability with the Markov chain Monte Carlo method, as well as highlighting the method's natural limits. It uses the technique of coupling before introducing "path coupling" a new technique which radically simplifies and improves upon previous methods in the area.

Finite Markov Chains and Algorithmic Applications

Author : Olle Häggström
Publisher : Cambridge University Press
ISBN 13 : 9780521890014
Total Pages : 132 pages
Book Rating : 4.8/5 (9 download)

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Book Synopsis Finite Markov Chains and Algorithmic Applications by : Olle Häggström

Download or read book Finite Markov Chains and Algorithmic Applications written by Olle Häggström and published by Cambridge University Press. This book was released on 2002-05-30 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a lecture course given at Chalmers University of Technology, this 2002 book is ideal for advanced undergraduate or beginning graduate students. The author first develops the necessary background in probability theory and Markov chains before applying it to study a range of randomized algorithms with important applications in optimization and other problems in computing. Amongst the algorithms covered are the Markov chain Monte Carlo method, simulated annealing, and the recent Propp-Wilson algorithm. This book will appeal not only to mathematicians, but also to students of statistics and computer science. The subject matter is introduced in a clear and concise fashion and the numerous exercises included will help students to deepen their understanding.

Probabilistic Methods for Algorithmic Discrete Mathematics

Author : Michel Habib
Publisher : Springer Science & Business Media
ISBN 13 : 3662127881
Total Pages : 342 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Probabilistic Methods for Algorithmic Discrete Mathematics by : Michel Habib

Download or read book Probabilistic Methods for Algorithmic Discrete Mathematics written by Michel Habib and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leave nothing to chance. This cliche embodies the common belief that ran domness has no place in carefully planned methodologies, every step should be spelled out, each i dotted and each t crossed. In discrete mathematics at least, nothing could be further from the truth. Introducing random choices into algorithms can improve their performance. The application of proba bilistic tools has led to the resolution of combinatorial problems which had resisted attack for decades. The chapters in this volume explore and celebrate this fact. Our intention was to bring together, for the first time, accessible discus sions of the disparate ways in which probabilistic ideas are enriching discrete mathematics. These discussions are aimed at mathematicians with a good combinatorial background but require only a passing acquaintance with the basic definitions in probability (e.g. expected value, conditional probability). A reader who already has a firm grasp on the area will be interested in the original research, novel syntheses, and discussions of ongoing developments scattered throughout the book. Some of the most convincing demonstrations of the power of these tech niques are randomized algorithms for estimating quantities which are hard to compute exactly. One example is the randomized algorithm of Dyer, Frieze and Kannan for estimating the volume of a polyhedron. To illustrate these techniques, we consider a simple related problem. Suppose S is some region of the unit square defined by a system of polynomial inequalities: Pi (x. y) ~ o.

Mathematical Foundations of Computer Science 2007

Author : Ludek Kucera
Publisher : Springer
ISBN 13 : 3540744568
Total Pages : 779 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Mathematical Foundations of Computer Science 2007 by : Ludek Kucera

Download or read book Mathematical Foundations of Computer Science 2007 written by Ludek Kucera and published by Springer. This book was released on 2007-08-15 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 32nd International Symposium on Mathematical Foundations of Computer Science, MFCS 2007, held in Ceský Krumlov, Czech Republic, August 2007. The 61 revised full papers presented together with the full papers or abstracts of five invited talks address all current aspects in theoretical computer science and its mathematical foundations.

Automata, Languages and Programming

Author : Luis Caires
Publisher : Springer
ISBN 13 : 3540316914
Total Pages : 1501 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Automata, Languages and Programming by : Luis Caires

Download or read book Automata, Languages and Programming written by Luis Caires and published by Springer. This book was released on 2005-08-25 with total page 1501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 32nd International Colloquium on Automata, Languages and Programming (ICALP 2005) was held in Lisbon, Portugal from July 11 to July 15, 2005. These proceedings contain all contributed papers presented at ICALP 2005, - getherwiththepapersbytheinvitedspeakersGiuseppeCastagna(ENS),Leonid Libkin (Toronto), John C. Mitchell (Stanford), Burkhard Monien (Paderborn), and Leslie Valiant (Harvard). The program had an additional invited lecture by Adi Shamir (Weizmann Institute) which does not appear in these proceedings. ICALP is a series of annual conferences of the European Association for Theoretical Computer Science (EATCS). The ?rst ICALP took place in 1972. This year, the ICALP program consisted of the established track A (focusing on algorithms, automata, complexity and games) and track B (focusing on logic, semantics and theory of programming), and innovated on the structure of its traditional scienti?c program with the inauguration of a new track C (focusing on security and cryptography foundation). In response to a call for papers, the Program Committee received 407 s- missions, 258 for track A, 75 for track B and 74 for track C. This is the highest number of submitted papers in the history of the ICALP conferences. The P- gram Committees selected 113 papers for inclusion in the scienti?c program. In particular, the Program Committee for track A selected 65 papers, the P- gram Committee for track B selected 24 papers, and the Program Committee for track C selected 24 papers. All the work of the Program Committees was done electronically.

Database and Expert Systems Applications

Author : Hendrik Decker
Publisher : Springer
ISBN 13 : 3642402852
Total Pages : 487 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Database and Expert Systems Applications by : Hendrik Decker

Download or read book Database and Expert Systems Applications written by Hendrik Decker and published by Springer. This book was released on 2013-08-17 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume set LNCS 8055 and LNCS 8056 constitutes the refereed proceedings of the 24th International Conference on Database and Expert Systems Applications, DEXA 2013, held in Prague, Czech Republic, August 23-29, 2013. The 43 revised full papers presented together with 33 short papers, and 3 keynote talks, were carefully reviewed and selected from 174 submissions. These papers discuss a range of topics including: search queries; indexing; discovery of semantics; parallel processing; XML and RDF; enterprise models; query evaluation and optimization; semantic Web; sampling; industrial applications; communities; AI and databases; matching and searching; information extraction; queries, streams, and uncertainty, storage and compression; query processing; security; distributed data processing; metadata modeling and maintenance; pricing and recommending; and security and semantics.

Markov Chains and Mixing Times

Author : David A. Levin
Publisher : American Mathematical Soc.
ISBN 13 : 1470429624
Total Pages : 465 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Markov Chains and Mixing Times by : David A. Levin

Download or read book Markov Chains and Mixing Times written by David A. Levin and published by American Mathematical Soc.. This book was released on 2017-10-31 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the modern theory of Markov chains, whose goal is to determine the rate of convergence to the stationary distribution, as a function of state space size and geometry. This topic has important connections to combinatorics, statistical physics, and theoretical computer science. Many of the techniques presented originate in these disciplines. The central tools for estimating convergence times, including coupling, strong stationary times, and spectral methods, are developed. The authors discuss many examples, including card shuffling and the Ising model, from statistical mechanics, and present the connection of random walks to electrical networks and apply it to estimate hitting and cover times. The first edition has been used in courses in mathematics and computer science departments of numerous universities. The second edition features three new chapters (on monotone chains, the exclusion process, and stationary times) and also includes smaller additions and corrections throughout. Updated notes at the end of each chapter inform the reader of recent research developments.

Network Analysis

Author : Ulrik Brandes
Publisher : Springer Science & Business Media
ISBN 13 : 3540249796
Total Pages : 481 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Network Analysis by : Ulrik Brandes

Download or read book Network Analysis written by Ulrik Brandes and published by Springer Science & Business Media. This book was released on 2005-02-09 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: ‘Network’ is a heavily overloaded term, so that ‘network analysis’ means different things to different people. Specific forms of network analysis are used in the study of diverse structures such as the Internet, interlocking directorates, transportation systems, epidemic spreading, metabolic pathways, the Web graph, electrical circuits, project plans, and so on. There is, however, a broad methodological foundation which is quickly becoming a prerequisite for researchers and practitioners working with network models. From a computer science perspective, network analysis is applied graph theory. Unlike standard graph theory books, the content of this book is organized according to methods for specific levels of analysis (element, group, network) rather than abstract concepts like paths, matchings, or spanning subgraphs. Its topics therefore range from vertex centrality to graph clustering and the evolution of scale-free networks. In 15 coherent chapters, this monograph-like tutorial book introduces and surveys the concepts and methods that drive network analysis, and is thus the first book to do so from a methodological perspective independent of specific application areas.

The Algorithm Design Manual

Author : Steven S. Skiena
Publisher : Springer Nature
ISBN 13 : 3030542564
Total Pages : 793 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis The Algorithm Design Manual by : Steven S. Skiena

Download or read book The Algorithm Design Manual written by Steven S. Skiena and published by Springer Nature. This book was released on 2020-10-05 with total page 793 pages. Available in PDF, EPUB and Kindle. Book excerpt: "My absolute favorite for this kind of interview preparation is Steven Skiena’s The Algorithm Design Manual. More than any other book it helped me understand just how astonishingly commonplace ... graph problems are -- they should be part of every working programmer’s toolkit. The book also covers basic data structures and sorting algorithms, which is a nice bonus. ... every 1 – pager has a simple picture, making it easy to remember. This is a great way to learn how to identify hundreds of problem types." (Steve Yegge, Get that Job at Google) "Steven Skiena’s Algorithm Design Manual retains its title as the best and most comprehensive practical algorithm guide to help identify and solve problems. ... Every programmer should read this book, and anyone working in the field should keep it close to hand. ... This is the best investment ... a programmer or aspiring programmer can make." (Harold Thimbleby, Times Higher Education) "It is wonderful to open to a random spot and discover an interesting algorithm. This is the only textbook I felt compelled to bring with me out of my student days.... The color really adds a lot of energy to the new edition of the book!" (Cory Bart, University of Delaware) "The is the most approachable book on algorithms I have." (Megan Squire, Elon University) --- This newly expanded and updated third edition of the best-selling classic continues to take the "mystery" out of designing algorithms, and analyzing their efficiency. It serves as the primary textbook of choice for algorithm design courses and interview self-study, while maintaining its status as the premier practical reference guide to algorithms for programmers, researchers, and students. The reader-friendly Algorithm Design Manual provides straightforward access to combinatorial algorithms technology, stressing design over analysis. The first part, Practical Algorithm Design, provides accessible instruction on methods for designing and analyzing computer algorithms. The second part, the Hitchhiker's Guide to Algorithms, is intended for browsing and reference, and comprises the catalog of algorithmic resources, implementations, and an extensive bibliography. NEW to the third edition: -- New and expanded coverage of randomized algorithms, hashing, divide and conquer, approximation algorithms, and quantum computing -- Provides full online support for lecturers, including an improved website component with lecture slides and videos -- Full color illustrations and code instantly clarify difficult concepts -- Includes several new "war stories" relating experiences from real-world applications -- Over 100 new problems, including programming-challenge problems from LeetCode and Hackerrank. -- Provides up-to-date links leading to the best implementations available in C, C++, and Java Additional Learning Tools: -- Contains a unique catalog identifying the 75 algorithmic problems that arise most often in practice, leading the reader down the right path to solve them -- Exercises include "job interview problems" from major software companies -- Highlighted "take home lessons" emphasize essential concepts -- The "no theorem-proof" style provides a uniquely accessible and intuitive approach to a challenging subject -- Many algorithms are presented with actual code (written in C) -- Provides comprehensive references to both survey articles and the primary literature Written by a well-known algorithms researcher who received the IEEE Computer Science and Engineering Teaching Award, this substantially enhanced third edition of The Algorithm Design Manual is an essential learning tool for students and professionals needed a solid grounding in algorithms. Professor Skiena is also the author of the popular Springer texts, The Data Science Design Manual and Programming Challenges: The Programming Contest Training Manual.

Approximation Algorithms

Author : Vijay V. Vazirani
Publisher : Springer Science & Business Media
ISBN 13 : 3662045656
Total Pages : 380 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Approximation Algorithms by : Vijay V. Vazirani

Download or read book Approximation Algorithms written by Vijay V. Vazirani and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the basic techniques used in the latest research work, the author consolidates progress made so far, including some very recent and promising results, and conveys the beauty and excitement of work in the field. He gives clear, lucid explanations of key results and ideas, with intuitive proofs, and provides critical examples and numerous illustrations to help elucidate the algorithms. Many of the results presented have been simplified and new insights provided. Of interest to theoretical computer scientists, operations researchers, and discrete mathematicians.

Frontiers of Evolutionary Computation

Author : Anil Menon
Publisher : Springer Science & Business Media
ISBN 13 : 1402077823
Total Pages : 288 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Frontiers of Evolutionary Computation by : Anil Menon

Download or read book Frontiers of Evolutionary Computation written by Anil Menon and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frontiers of Evolutionary Computation brings together eleven contributions by international leading researchers discussing what significant issues still remain unresolved in the field of Evolutionary Computation (Ee. They explore such topics as the role of building blocks, the balancing of exploration with exploitation, the modeling of EC algorithms, the connection with optimization theory and the role of EC as a meta-heuristic method, to name a few. The articles feature a mixture of informal discussion interspersed with formal statements, thus providing the reader an opportunity to observe a wide range of EC problems from the investigative perspective of world-renowned researchers. These prominent researchers include: Heinz M]hlenbein, Kenneth De Jong, Carlos Cotta and Pablo Moscato, Lee Altenberg, Gary A. Kochenberger, Fred Glover, Bahram Alidaee and Cesar Rego, William G. Macready, Christopher R. Stephens and Riccardo Poli, Lothar M. Schmitt, John R. Koza, Matthew J. Street and Martin A. Keane, Vivek Balaraman, Wolfgang Banzhaf and Julian Miller.

Randomization Methods in Algorithm Design

Author : Panos M. Pardalos
Publisher : American Mathematical Soc.
ISBN 13 : 0821809164
Total Pages : 335 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Randomization Methods in Algorithm Design by : Panos M. Pardalos

Download or read book Randomization Methods in Algorithm Design written by Panos M. Pardalos and published by American Mathematical Soc.. This book was released on 1999 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on proceedings held during the DIMACS workshop on Randomization Methods in Algorithm Design in December 1997 at Princeton. The workshop was part of the DIMACS Special Year on Discrete Probability. It served as an interdisciplinary research workshop that brought together a mix of leading theorists, algorithmists and practitioners working in the theory and implementation aspects of algorithms involving randomization. Randomization has played an important role in the design of both sequential and parallel algorithms. The last decade has witnessed tremendous growth in the area of randomized algorithms. During this period, randomized algorithms went from being a tool in computational number theory to finding widespread applications in many problem domains. Major topics covered include randomization techniques for linear and integer programming problems, randomization in the design of approximate algorithms for combinatorial problems, randomization in parallel and distributed algorithms, practical implementation of randomized algorithms, de-randomization issues, and pseudo-random generators. This volume focuses on theory and implementation aspects of algorithms involving randomization. It would be suitable as a graduate or advanced graduate text.

Modern Aspects of Electrochemistry 39

Author : Constantinos G. Vayenas
Publisher : Springer Science & Business Media
ISBN 13 : 0387317015
Total Pages : 296 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Modern Aspects of Electrochemistry 39 by : Constantinos G. Vayenas

Download or read book Modern Aspects of Electrochemistry 39 written by Constantinos G. Vayenas and published by Springer Science & Business Media. This book was released on 2006-12-22 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of Modern Aspects covers a wide spread of topics presented in an authoritative, informative and instructive manner by some internationally renowned specialists. Professors Politzer and Dr. Murray provide a comprehensive description of the various theoretical treatments of solute-solvent interactions, including ion-solvent interactions. Both continuum and discrete molecular models for the solvent molecules are discussed, including Monte Carlo and molecular dynamics simulations. The advantages and drawbacks of the resulting models and computational approaches are discussed and the impressive progress made in predicting the properties of molecular and ionic solutions is surveyed. The fundamental and applied electrochemistry of the silicon/electrolyte interface is presented in an authoritative review by Dr. Gregory Zhang, with emphasis in the preparation of porous silicon, a material of significant technological interest, via anodic dissolution of monocrystalline Si. The chapter shows eloquently how fundamental electrokinetic principles can be utilized to obtain the desired product morphology. Markov chains theory provides a powerful tool for modeling several important processes in electrochemistry and electrochemical engineering, including electrode kinetics, anodic deposit formation and deposit dissolution processes, electrolyzer and electrochemical reactors performance and even reliability of warning devices and repair of failed cells. The way this can be done using the elegant Markov chains theory is described in lucid manner by Professor Thomas Fahidy in a concise chapter which gives to the reader only the absolutely necessary mathematics and is rich in practical examples.

Algebraic Informatics

Author : Symeon Bozapalidis
Publisher : Springer Science & Business Media
ISBN 13 : 354075413X
Total Pages : 298 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Algebraic Informatics by : Symeon Bozapalidis

Download or read book Algebraic Informatics written by Symeon Bozapalidis and published by Springer Science & Business Media. This book was released on 2007-12-14 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference on Algebraic Informatics, CAI 2007, held in Thessaloniki, Greece, in May 2007. The 10 revised full papers presented together with 9 invited papers were carefully reviewed and selected from 29 submissions. The papers cover topics such as algebraic semantics on graphs and trees, formal power series, syntactic objects, algebraic picture processing, infinite computation, acceptors and transducers for strings, trees, graphs, arrays, etc., and decision problems.

Graph-Theoretic Concepts in Computer Science

Author : Dimitrios M. Thilikos
Publisher : Springer
ISBN 13 : 3642169260
Total Pages : 349 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Graph-Theoretic Concepts in Computer Science by : Dimitrios M. Thilikos

Download or read book Graph-Theoretic Concepts in Computer Science written by Dimitrios M. Thilikos and published by Springer. This book was released on 2010-11-10 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 36th International Workshop on Graph-Theoretic Concepts in Computer Science (WG 2010) took place in Zar ́ os, Crete, Greece, June 28–30, 2010. About 60 mathematicians and computer scientists from all over the world (Australia, Canada, Czech Republic, France, Germany, Greece, Hungary, Israel, Japan, The Netherlands, Norway, Poland, Switzerland, the UK, and the USA) attended the conference. WG has a long tradition. Since 1975, WG has taken place 21 times in Germany, four times in The Netherlands, twice in Austria, twice in France and once in the Czech Republic, Greece, Italy, Norway, Slovakia, Switzerland, and the UK. WG aims at merging theory and practice by demonstrating how concepts from graph theory can be applied to various areas in computer science, or by extracting new graph theoretic problems from applications. The goal is to presentemergingresearchresultsand to identify and exploredirections of future research.The conference is well-balanced with respect to established researchers and young scientists. There were 94 submissions, two of which where withdrawn before entering the review process. Each submission was carefully reviewed by at least 3, and on average 4.5, members of the Program Committee. The Committee accepted 28 papers, which makes an acceptance ratio of around 30%. I should stress that, due to the high competition and the limited schedule, there were papers that were not accepted while they deserved to be.