The Multivariate Algorithmic Revolution And Beyond
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The Multivariate Algorithmic Revolution And Beyond
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Author : Hans L. Bodlaender
language : en
Publisher: Springer
Release Date : 2012-06-16
The Multivariate Algorithmic Revolution And Beyond written by Hans L. Bodlaender and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-16 with Computers categories.
Parameterized complexity is currently a thriving field in complexity theory and algorithm design. A significant part of the success of the field can be attributed to Michael R. Fellows. This Festschrift has been published in honor of Mike Fellows on the occasion of his 60th birthday. It contains 20 papers that showcase the important scientific contributions of this remarkable man, describes the history of the field of parameterized complexity, and also reflects on other parts of Mike Fellows’s unique and broad range of interests, including his work on the popularization of discrete mathematics for young children. The volume contains several surveys that introduce the reader to the field of parameterized complexity and discuss important notions, results, and developments in this field.
Handbook Of Graph Theory Combinatorial Optimization And Algorithms
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Author : Krishnaiyan "KT" Thulasiraman
language : en
Publisher: CRC Press
Release Date : 2016-01-05
Handbook Of Graph Theory Combinatorial Optimization And Algorithms written by Krishnaiyan "KT" Thulasiraman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-05 with Computers categories.
The fusion between graph theory and combinatorial optimization has led to theoretically profound and practically useful algorithms, yet there is no book that currently covers both areas together. Handbook of Graph Theory, Combinatorial Optimization, and Algorithms is the first to present a unified, comprehensive treatment of both graph theory and c
Algorithmic Decision Theory
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Author : Jörg Rothe
language : en
Publisher: Springer
Release Date : 2017-10-13
Algorithmic Decision Theory written by Jörg Rothe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-13 with Computers categories.
This book constitutes the conference proceedings of the 5th International Conference on Algorithmic Decision Theory , ADT 2017, held in Luxembourg, in October 2017.The 22 full papers presented together with 6 short papers, 4 keynote abstracts, and 6 Doctoral Consortium papers, were carefully selected from 45 submissions. The papers are organized in topical sections on preferences and multi-criteria decision aiding; decision making and voting; game theory and decision theory; and allocation and matching.
Parameterized Algorithms
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Author : Marek Cygan
language : en
Publisher: Springer
Release Date : 2015-07-20
Parameterized Algorithms written by Marek Cygan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-20 with Computers categories.
This comprehensive textbook presents a clean and coherent account of most fundamental tools and techniques in Parameterized Algorithms and is a self-contained guide to the area. The book covers many of the recent developments of the field, including application of important separators, branching based on linear programming, Cut & Count to obtain faster algorithms on tree decompositions, algorithms based on representative families of matroids, and use of the Strong Exponential Time Hypothesis. A number of older results are revisited and explained in a modern and didactic way. The book provides a toolbox of algorithmic techniques. Part I is an overview of basic techniques, each chapter discussing a certain algorithmic paradigm. The material covered in this part can be used for an introductory course on fixed-parameter tractability. Part II discusses more advanced and specialized algorithmic ideas, bringing the reader to the cutting edge of current research. Part III presents complexity results and lower bounds, giving negative evidence by way of W[1]-hardness, the Exponential Time Hypothesis, and kernelization lower bounds. All the results and concepts are introduced at a level accessible to graduate students and advanced undergraduate students. Every chapter is accompanied by exercises, many with hints, while the bibliographic notes point to original publications and related work.
Network Flow Algorithms
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Author : David P. Williamson
language : en
Publisher: Cambridge University Press
Release Date : 2019-09-05
Network Flow Algorithms written by David P. Williamson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-05 with Computers categories.
Network flow theory has been used across a number of disciplines, including theoretical computer science, operations research, and discrete math, to model not only problems in the transportation of goods and information, but also a wide range of applications from image segmentation problems in computer vision to deciding when a baseball team has been eliminated from contention. This graduate text and reference presents a succinct, unified view of a wide variety of efficient combinatorial algorithms for network flow problems, including many results not found in other books. It covers maximum flows, minimum-cost flows, generalized flows, multicommodity flows, and global minimum cuts and also presents recent work on computing electrical flows along with recent applications of these flows to classical problems in network flow theory.
Parameterized Complexity In The Polynomial Hierarchy
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Author : Ronald de Haan
language : en
Publisher: Springer Nature
Release Date : 2019-12-30
Parameterized Complexity In The Polynomial Hierarchy written by Ronald de Haan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-30 with Mathematics categories.
Parameterized Complexity in the Polynomial Hierarchy was co-recipient of the E.W. Beth Dissertation Prize 2017 for outstanding dissertations in the fields of logic, language, and information. This work extends the theory of parameterized complexity to higher levels of the Polynomial Hierarchy (PH). For problems at higher levels of the PH, a promising solving approach is to develop fixed-parameter tractable reductions to SAT, and to subsequently use a SAT solving algorithm to solve the problem. In this dissertation, a theoretical toolbox is developed that can be used to classify in which cases this is possible. The use of this toolbox is illustrated by applying it to analyze a wide range of problems from various areas of computer science and artificial intelligence.
Treewidth Kernels And Algorithms
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Author : Fedor V. Fomin
language : en
Publisher: Springer Nature
Release Date : 2020-04-20
Treewidth Kernels And Algorithms written by Fedor V. Fomin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-20 with Computers categories.
This Festschrift was published in honor of Hans L. Bodlaender on the occasion of his 60th birthday. The 14 full and 5 short contributions included in this volume show the many transformative discoveries made by H.L. Bodlaender in the areas of graph algorithms, parameterized complexity, kernelization and combinatorial games. The papers are written by his former Ph.D. students and colleagues as well as by his former Ph.D. advisor, Jan van Leeuwen. Chapter “Crossing Paths with Hans Bodlaender: A Personal View on Cross-Composition for Sparsification Lower Bounds” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Fundamentals Of Parameterized Complexity
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Author : Rodney G. Downey
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-03
Fundamentals Of Parameterized Complexity written by Rodney G. Downey and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-03 with Computers categories.
This comprehensive and self-contained textbook presents an accessible overview of the state of the art of multivariate algorithmics and complexity. Increasingly, multivariate algorithmics is having significant practical impact in many application domains, with even more developments on the horizon. The text describes how the multivariate framework allows an extended dialog with a problem, enabling the reader who masters the complexity issues under discussion to use the positive and negative toolkits in their own research. Features: describes many of the standard algorithmic techniques available for establishing parametric tractability; reviews the classical hardness classes; explores the various limitations and relaxations of the methods; showcases the powerful new lower bound techniques; examines various different algorithmic solutions to the same problems, highlighting the insights to be gained from each approach; demonstrates how complexity methods and ideas have evolved over the past 25 years.
Algorithms And Data Structures
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Author : Zachary Friggstad
language : en
Publisher: Springer
Release Date : 2019-07-31
Algorithms And Data Structures written by Zachary Friggstad and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-31 with Computers categories.
This book constitutes the refereed proceedings of the 16th International Symposium on Algorithms and Data Structures, WADS, 2019, held in Edmonton, AB, Canada, in August 2019. The 42 full papers presented together with 3 invited lectures, we carefully reviewed and selected from a total of 88 submissions. They present original research on the theory and application of algorithms and data structures in many areas, including combinatorics, computational geometry, databases, graphics, and parallel and distributed computing.
Algorithmic Aspects Of Manipulation And Anonymization In Social Choice And Social Networks
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Author : Talmon, Nimrod
language : en
Publisher: Universitätsverlag der TU Berlin
Release Date : 2016-05-20
Algorithmic Aspects Of Manipulation And Anonymization In Social Choice And Social Networks written by Talmon, Nimrod and has been published by Universitätsverlag der TU Berlin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-20 with Computers categories.
This thesis presents a study of several combinatorial problems related to social choice and social networks. The main concern is their computational complexity, with an emphasis on their parameterized complexity. The goal is to devise efficient algorithms for each of the problems studied here, or to prove that, under widely-accepted assumptions, such algorithms cannot exist. The problems discussed in Chapter 3 and in Chapter 4 are about manipulating a given election, where some relationships between the entities of the election are assumed. This can be seen as if the election occurs on top of an underlying social network, connecting the voters participating in the election or the candidates which the voters vote on. The problem discussed in Chapter 3, Combinatorial Candidate Control, is about manipulating an election by changing the set of candidates which the voters vote on. That is, there is an external agent who can add new candidates or delete existing candidates. A combinatorial structure over the candidates is assumed, such that whenever the external agent adds or removes a candidate, a predefined set of candidates (related to the chosen candidate) are added or removed from the election. The problem discussed in Chapter 4, Combinatorial Shift Bribery, is also about manipulating an election. Here, however, the external agent can change the way some voters vote. Specifically, a combinatorial structure over the voters is assumed, such that the external agent can change the position of its preferred candidate in sets of voters, following some predefined patterns. The problem discussed in Chapter 5, Election Anonymization, is also about elections. The main concern here, however, is preserving the privacy of the voters, when the votes are published, along with some additional (private) information. The task is to transform a given election such that each vote would appear at least k times. By doing so, even an adversary which knows how some voters vote, cannot identify individual voters. The problems discussed in Chapter 6 and in Chapter 7 are also about privacy. Specifically, a social network (modeled as a graph) is to become publicly available. The task is to anonymize the graph; that is, to transform the graph such that, for every vertex, there will be at least $k - 1$ other vertices with the same degree. By doing so, even an adversary which knows the degrees of some vertices cannot identify individual vertices. In the problem discussed in Chapter 6, Degree Anonymization by Vertex Addition, the way to achieve anonymity is by introducing new vertices. In the problem discussed in Chapter 7, Degree Anonymization By Graph Contractions, the way to achieve anonymity is by contracting as few edges as possible. The main aim of this thesis, considering the problems mentioned above, is to explore some boundaries between tractability and intractability. Specifically, as most of these problems are computationally intractable (that is, NP-hard or even hard to approximate), some restricted cases and parameterizations for these problems are considered. The goal is to devise efficient algorithms for them, running in polynomial-time when some parameters are assumed to be constant, or, even better, to show that the problems are fixed-parameter tractable for the parameters considered. If such algorithms cannot be devised, then the goal is to prove that these problems are indeed not fixed-parameter tractable with respect to some parameters, or, even better, to show that the problems are NP-hard even when some parameters are assumed to be constant. Diese Dissertation stellt eine Untersuchung von verschiedenen kombinatorischen Problemen im Umfeld von Wahlen und sozialen Netzwerken dar. Das Hauptziel ist die Analyse der Berechnungskomplexität mit dem Schwerpunkt auf der parametrisierten Komplexität. Dabei werden für jedes der untersuchten Probleme effiziente Algorithmen entworfen oder aber gezeigt, dass unter weit akzeptierten Annahmen solche Algorithmen nicht existieren können. Die Probleme, welche im Kapitel 3 und im Kapitel 4 diskutiert werden, modellieren das Manipulieren einer gegebenen Wahl, bei welcher gewisse Beziehungen zwischen den Beteiligten angenommen werden. Dies kann so interpretiert werden, dass die Wahl innerhalb eines Sozialen Netzwerks stattfindet, in dem die Wähler oder die Kandidaten miteinander in Verbindung stehen. Das Problem Combinatorial Candidate Control ONTROL, welches in Kapitel 3 untersucht wird, handelt von der Manipulation einer Wahl durch die änderung der Kandidatenmenge über welche die Wähler abstimmen. Genauer gesagt, gibt es einen externen Agenten, welcher neue Kandidaten hinzufügen oder existierende Kandidaten entfernen kann. Es wird eine kombinatorische Struktur über der Kandidatenmenge angenommen, so dass immer wenn der externe Agent einen Kandidaten hinzufügt oder entfernt, eine vordefinierte Kandidatenmenge (welche mit den ausgewählten Kandidaten in Beziehung steht) ebenfalls hinzugefügt bzw. entfernt wird. Das Problem Combinatorial Shift Bribery, welches in Kapitel 4 untersucht wird, thematisiert ebenfalls die Manipulation einer Wahl. Hier allerdings kann der externe Agent Änderungen des Abstimmungsverhaltens einiger Wähler herbeiführen. Dabei wird eine kombinatorische Struktur über den Wählern angenommen, so dass der externe Agent die Position des von ihm präferierten Kandidaten bei mehreren Wählern entsprechend vordefinierter Muster gleichzeitig ändern kann. Das Problem Election Anonymization, welches in Kapitel 5 untersucht wird, befasst sich ebenso mit Wahlen. Das Hauptanliegen hier ist es jedoch, die Privatsphäre der Wähler bei der Veröffentlichung der Stimmenabgaben zusammen mit einigen zusätzlichen (privaten) Informationen aufrecht zu erhalten. Die Aufgabe ist es eine gegebene Wahl so zu verändern, dass jede Stimmenabgabe mindestens k-fach vorkommt. Dadurch kann noch nicht einmal ein Gegenspieler einzelne Wähler identifizieren, wenn er die Stimmenabgaben einiger Wähler bereits kennt. Die in Kapitel 6 und 7 untersuchten Probleme behandeln gleichermaßen Privatsphärenaspekte. Präziser gesagt, geht es darum, dass ein soziales Netzwerk (modelliert als Graph) veröffentlicht werden soll. Die Aufgabe ist es den Graphen zu anonymisieren; dies bedeutet man verändert den Graphen, so dass es für jeden Knoten mindestens k − 1 weitere Knoten mit dem selben Grad gibt. Dadurch wird erreicht, dass selbst ein Gegenspieler, welcher die Knotengrade einiger Knoten kennt, nicht in der Lage ist einzelne Knoten zu identifizieren. Bei dem Problem Degree Anonymization by Vertex Addition, welches in Kapitel 6 untersucht wird, wird Anonymität durch Einführung neuer Knoten erreicht. Bei dem Problem Degree Anonymization by Graph Contractions, welches in Kapitel 7 untersucht wird, wird Anonymität durch die Kontraktion von möglichst wenigen Kanten erreicht. Das Hauptanliegen dieser Dissertation in Bezug auf die obig genannten Probleme ist es die Grenzen der effizienten Lösbarkeit auszuloten. Insbesondere da die meisten dieser Probleme berechnungsschwer (genauer NP-schwer bzw. sogar schwer zu approximieren) sind, werden einige eingeschränkte Fälle und Parametrisierungen der Probleme betrachtet. Das Ziel ist es effiziente Algorithmen für sie zu entwickeln, welche in Polynomzeit laufen, wenn einige Parameter konstante Werte aufweisen, oder besser noch zu zeigen, dass die Probleme “fixed-parameter tractable” für die betrachteten Parameter sind. Wenn solche Algorithmen nicht gefunden werden können, dann ist es das Ziel zu beweisen, dass diese Probleme tatsächlich nicht “fixed-parameter tractable” bezüglich der entsprechenden Parameter sind, oder noch besser zu zeigen, dass die Probleme NP-schwer sind, sogar wenn die entsprechenden Parameter konstante Werte aufweisen.