Minimum Linear Arrangement Of Trees
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Minimum Linear Arrangement Of Trees
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Author :
language : en
Publisher:
Release Date : 2002
Minimum Linear Arrangement Of Trees written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
In the minimum linear arrangement problem one is given a graph, and wishes to assign distinct integers to the vertices of the graph so that the sum of the differences (in absolute value) across the edges of the graph is minimized. This problem is known to be NP-complete for the class of all graphs, but polynomial for special classes of graphs, one of which is the class of trees. For trees on n vertices, algorithms of time complexity O(n2.2) and O(n1.6) were given by Shiloach in 1979 and Chung in 1983 respectively, with no improvement since then. In this thesis, we present a linear-time algorithm for finding the optimal embedding among those embeddings which have no "crossings," and we describe a C++ implementation of that algorithm as well as Shiloach's algorithm which we make available to the research community.
Minimum Linear Arrangement Of Trees
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Author : Robert Hochberg
language : en
Publisher:
Release Date : 2002
Minimum Linear Arrangement Of Trees written by Robert Hochberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Keywords: graph theory, trees, combinatorics, algorithms.
Linear Arrangement Algorithms For Vlsi Layout Of High Speed Multipliers
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Author : Kyōto Daigaku. Joho Kogaku Kyoshitsu
language : en
Publisher:
Release Date : 1993
Linear Arrangement Algorithms For Vlsi Layout Of High Speed Multipliers written by Kyōto Daigaku. Joho Kogaku Kyoshitsu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Algorithms categories.
Abstract: "Two algorithms for minimum cut linear arrangement of a class of graphs called p-q dags are proposed. They are useful for VLSI layout design of the adder tree part of high-speed parallel multipliers such as Wallace tree. A p-q dag is introduced for representing the connection scheme of an adder tree, and the VLSI layout problem of the adder tree part of a multiplier is treated as the minimum cut linear arrangement problem of its corresponding p-q dag. One of the two algorithms is based on dynamic programming. It calculates an exact minimum solution within n[superscript O(1)] time and space, where n is the size of a given graph. The other algorithm is an approximation algorithm which calculates a solution with O(log n) cutwidth. It requires O(n log n) time."
Computing And Combinatorics
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Author : Dingzhu Du
language : en
Publisher: Springer Science & Business Media
Release Date : 1995
Computing And Combinatorics written by Dingzhu Du 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 1995 with Combinatorial analysis categories.
This book constitutes the proceedings of the First Annual International Conference on Computing and Combinatorics, COCOON '95, held in Xi'an, China in August 1995. The 52 thoroughly refereed full papers and the 22 short presentations included in this volume were selected from a total of 120 submissions. All current aspects of theoretical computer science and combinatorial mathematics related to computing are addressed; in particular, there are sections on complexity theory, graph drawing, computational geometry, databases, graph algorithms, distributed programming and logic, combinatorics, machine models, combinatorial designs, algorithmic learning, algorithms, distributed computing, and scheduling.
Combinatorial Algorithms
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Author : Paola Flocchini
language : en
Publisher: Springer Nature
Release Date : 2021-06-30
Combinatorial Algorithms written by Paola Flocchini and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-30 with Computers categories.
This book constitutes the proceedings of the 32nd International Workshop on Combinatorial Algorithms which was planned to take place in Ottawa, ON, Canada, in July 2021. Due to the COVID-19 pandemic the conference changed to a virtual format. The 38 full papers included in this book together with 2 invited talks were carefully reviewed and selected from 107 submissions. They focus on algorithms design for the myriad of combinatorial problems that underlie computer applications in science, engineering and business. Chapter “Minimum Eccentricity Shortest Path Problem with Respect to Structural Parameters” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
The Design Of Approximation Algorithms
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Author : David P. Williamson
language : en
Publisher: Cambridge University Press
Release Date : 2011-04-26
The Design Of Approximation 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 2011-04-26 with Computers categories.
Discrete optimization problems are everywhere, from traditional operations research planning (scheduling, facility location and network design); to computer science databases; to advertising issues in viral marketing. Yet most such problems are NP-hard; unless P = NP, there are no efficient algorithms to find optimal solutions. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first section is devoted to a single algorithmic technique applied to several different problems, with more sophisticated treatment in the second section. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithm courses, it will also serve as a reference for researchers interested in the heuristic solution of discrete optimization problems.
Walcom Algorithms And Computation
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Author : NAOKI KATOH
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-11
Walcom Algorithms And Computation written by NAOKI KATOH 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 2011-02-11 with Computers categories.
This book constitutes the proceedings of the 5th International Workshop on Algorithms and Computation, WALCOM 2011, held in New Delhi, India, in February 2011. The 20 papers presented in this volume were carefully reviewed and selected from 57 submissions. The papers are grouped in topical sections on approximation algorithms, hardness, algorithm engineering, computational geometry, string algorithms, and graph algorithms.
Fundamentals Of Computation Theory
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Author : Lothar Budach
language : en
Publisher: Springer Science & Business Media
Release Date : 1987-12-09
Fundamentals Of Computation Theory written by Lothar Budach 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 1987-12-09 with Computers categories.
This volume contains abridged versions of most of the sectional talks and some invited lectures given at the International Conference on Fundamentals of Computation Theory held at Kazan State University, Kazan, USSR, June 22-26, 1987. The conference was the sixth in the series of FCT Conferences organized every odd year, and the first one to take place in the USSR. FCT '87 was organized by the Section of Discrete Mathematics of the Academy of Sciences in the USSR, the Moscow State University (Department of Discrete Mathematics), and the Kazan State University (Department of Theoretical Cybernetics). This volume contains selected contributions to the following fields: Mathematical Models of Computation, Synthesis and Complexity of Control Systems, Probabilistic Computations, Theory of Programming, Computer-Assisted Deduction. The volume reflects the fact that FCT '87 was organized in the USSR: A wide range of problems typical of research in Mathematical Cybernetics in the USSR is comprehensively represented.
Topics In Combinatorics And Graph Theory
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Author : Rainer Bodendiek
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Topics In Combinatorics And Graph Theory written by Rainer Bodendiek 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 2012-12-06 with Mathematics categories.
Graph Theory is a part of discrete mathematics characterized by the fact of an extremely rapid development during the last 10 years. The number of graph theoretical paper as well as the number of graph theorists increase very strongly. The main purpose of this book is to show the reader the variety of graph theoretical methods and the relation to combinatorics and to give him a survey on a lot of new results, special methods, and interesting informations. This book, which grew out of contributions given by about 130 authors in honour to the 70th birthday of Gerhard Ringel, one of the pioneers in graph theory, is meant to serve as a source of open problems, reference and guide to the extensive literature and as stimulant to further research on graph theory and combinatorics.
Towards A Theoretical Framework For Analyzing Complex Linguistic Networks
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Author : Alexander Mehler
language : en
Publisher: Springer
Release Date : 2015-07-07
Towards A Theoretical Framework For Analyzing Complex Linguistic Networks written by Alexander Mehler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-07 with Technology & Engineering categories.
The aim of this book is to advocate and promote network models of linguistic systems that are both based on thorough mathematical models and substantiated in terms of linguistics. In this way, the book contributes first steps towards establishing a statistical network theory as a theoretical basis of linguistic network analysis the boarder of the natural sciences and the humanities. This book addresses researchers who want to get familiar with theoretical developments, computational models and their empirical evaluation in the field of complex linguistic networks. It is intended to all those who are interested in statistical models of linguistic systems from the point of view of network research. This includes all relevant areas of linguistics ranging from phonological, morphological and lexical networks on the one hand and syntactic, semantic and pragmatic networks on the other. In this sense, the volume concerns readers from many disciplines such as physics, linguistics, computer science and information science. It may also be of interest for the upcoming area of systems biology with which the chapters collected here share the view on systems from the point of view of network analysis.