Search Algorithms for Exact Treewidth
Author | : P. Alex Dow |
Publisher | : |
Total Pages | : 354 |
Release | : 2010 |
Genre | : |
ISBN | : |
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Author | : P. Alex Dow |
Publisher | : |
Total Pages | : 354 |
Release | : 2010 |
Genre | : |
ISBN | : |
Author | : Hans L. Bodlaender |
Publisher | : |
Total Pages | : 27 |
Release | : 2006 |
Genre | : |
ISBN | : |
Author | : Fedor V. Fomin |
Publisher | : Springer Science & Business Media |
Total Pages | : 208 |
Release | : 2010-10-26 |
Genre | : Mathematics |
ISBN | : 3642165338 |
For a long time computer scientists have distinguished between fast and slow algo rithms. Fast (or good) algorithms are the algorithms that run in polynomial time, which means that the number of steps required for the algorithm to solve a problem is bounded by some polynomial in the length of the input. All other algorithms are slow (or bad). The running time of slow algorithms is usually exponential. This book is about bad algorithms. There are several reasons why we are interested in exponential time algorithms. Most of us believe that there are many natural problems which cannot be solved by polynomial time algorithms. The most famous and oldest family of hard problems is the family of NP complete problems. Most likely there are no polynomial time al gorithms solving these hard problems and in the worst case scenario the exponential running time is unavoidable. Every combinatorial problem is solvable in ?nite time by enumerating all possi ble solutions, i. e. by brute force search. But is brute force search always unavoid able? De?nitely not. Already in the nineteen sixties and seventies it was known that some NP complete problems can be solved signi?cantly faster than by brute force search. Three classic examples are the following algorithms for the TRAVELLING SALESMAN problem, MAXIMUM INDEPENDENT SET, and COLORING.
Author | : Marek Cygan |
Publisher | : Springer |
Total Pages | : 618 |
Release | : 2015-07-20 |
Genre | : Computers |
ISBN | : 3319212753 |
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.
Author | : Ilias Kotsireas |
Publisher | : Springer Nature |
Total Pages | : 564 |
Release | : 2019-11-14 |
Genre | : Computers |
ISBN | : 3030340295 |
This book constitutes the refereed post-conference proceedings of the Special Event on the Analysis of Experimental Algorithms, SEA2 2019, held in Kalamata, Greece, in June 2019. The 35 revised full papers presented were carefully reviewed and selected from 45 submissions. The papers cover a wide range of topics in both computer science and operations research/mathematical programming. They focus on the role of experimentation and engineering techniques in the design and evaluation of algorithms, data structures, and computational optimization methods.
Author | : |
Publisher | : |
Total Pages | : |
Release | : 2006 |
Genre | : |
ISBN | : |
Informally, a class of graphs Q is said to have the level-treewidth property (LT-property) if for every G [element-of] Q there is a layout (breadth first ordering) L[sub G] such that the subgraph induced by the vertices in k-consecutive levels in the layout have treewidth O(f (k)), for some function f. We show that several important and well known classes of graphs including planar and bounded genus graphs, (r, s)-civilized graphs, etc, satisfy the LT-property. Building on the recent work, we present two general types of results for the class of graphs obeying the LT-property. (1) All problems in the classes MPSAT, TMAX and TMIN have polynomial time approximation schemes. (2) The problems considered in Eppstein have efficient polynomial time algorithms. These results can be extended to obtain polynomial time approximation algorithms and approximation schemes for a number of PSPACE-hard combinatorial problems specified using different kinds of succinct specifications studied in. Many of the results can also be extended to [delta]-near genus and [delta]-near civilized graphs, for any fixed [delta]. Our results significantly extend the work in and affirmatively answer recent open questions.
Author | : Ming-Yang Kao |
Publisher | : Springer Science & Business Media |
Total Pages | : 1200 |
Release | : 2008-08-06 |
Genre | : Computers |
ISBN | : 0387307702 |
One of Springer’s renowned Major Reference Works, this awesome achievement provides a comprehensive set of solutions to important algorithmic problems for students and researchers interested in quickly locating useful information. This first edition of the reference focuses on high-impact solutions from the most recent decade, while later editions will widen the scope of the work. All entries have been written by experts, while links to Internet sites that outline their research work are provided. The entries have all been peer-reviewed. This defining reference is published both in print and on line.
Author | : Siu-Wing Cheng |
Publisher | : Springer |
Total Pages | : 405 |
Release | : 2006-06-23 |
Genre | : Computers |
ISBN | : 3540351582 |
This book constitutes the refereed proceedings of the Second International Conference on Algorithmic Aspects in Information and Management, AAIM 2006, held in Hong Kong, June 2006. The book presents 34 revised full papers together with abstracts of 2 invited talks. The papers cover topics from areas such as online scheduling, game and finance, data structures and algorithms, computational geometry, optimization, graph, and string, and more.
Author | : Fedor V. Fomin |
Publisher | : Springer Nature |
Total Pages | : 350 |
Release | : 2020-04-20 |
Genre | : Computers |
ISBN | : 303042071X |
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.
Author | : Tetsuo Asano |
Publisher | : Springer Science & Business Media |
Total Pages | : 783 |
Release | : 2006-12-07 |
Genre | : Computers |
ISBN | : 3540496947 |
This book constitutes the refereed proceedings of the 17th International Symposium on Algorithms and Computation, ISAAC 2006, held in Kolkata, India, December 2006. The 73 revised full papers cover algorithms and data structures, online algorithms, approximation algorithm, computational geometry, computational complexity, optimization and biology, combinatorial optimization and quantum computing, as well as distributed computing and cryptography.