Combinatorial Problems Minimum Spanning Tree

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Combinatorial Problems: Minimum Spanning Tree

Author : N.B. Singh
Publisher : N.B. Singh
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4./5 ( download)

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Book Synopsis Combinatorial Problems: Minimum Spanning Tree by : N.B. Singh

Download or read book Combinatorial Problems: Minimum Spanning Tree written by N.B. Singh and published by N.B. Singh. This book was released on with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Combinatorial Problems: Minimum Spanning Tree" is a beginner-friendly introduction to the concept of Minimum Spanning Trees (MST), a fundamental tool in computer science and engineering. This book provides clear explanations and practical examples to demystify MST algorithms, which are essential for efficiently connecting nodes in various networks while minimizing costs. Aimed at absolute beginners, it covers the basic principles, step-by-step algorithms, and real-world applications of MST in telecommunications, transportation, and more. Whether you're a student, aspiring engineer, or curious reader, this accessible guide equips you with the foundational knowledge to understand and apply MST effectively in solving connectivity challenges across different fields.

Spanning Trees and Optimization Problems

Author : Bang Ye Wu
Publisher : CRC Press
ISBN 13 : 0203497287
Total Pages : 200 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Spanning Trees and Optimization Problems by : Bang Ye Wu

Download or read book Spanning Trees and Optimization Problems written by Bang Ye Wu and published by CRC Press. This book was released on 2004-01-27 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The design of approximation algorithms for spanning tree problems has become an exciting and important area of theoretical computer science and also plays a significant role in emerging fields such as biological sequence alignments and evolutionary tree construction. While work in this field remains quite active, the time has come to collect under

The Probabilistic Minimum Spanning Tree Problem

Author : Dimitris Bertsimas
Publisher : Forgotten Books
ISBN 13 : 9780265619247
Total Pages : 48 pages
Book Rating : 4.6/5 (192 download)

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Book Synopsis The Probabilistic Minimum Spanning Tree Problem by : Dimitris Bertsimas

Download or read book The Probabilistic Minimum Spanning Tree Problem written by Dimitris Bertsimas and published by Forgotten Books. This book was released on 2017-10-23 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Probabilistic Minimum Spanning Tree Problem: Complexity and Combinatorial Properties In this paper we consider a natural probabilistic variation of this classical problem. In particular, we consider the case where not all the points are deterministically present, but are present with certain probability. Formally, given a weighted graph G (v, E) and a probability of presence p(s) for each subset S of V, we want to construct an a priori spanning tree of minimum expected length in the following sense: on any given instance of the problem delete the vertices and their adjacent edges among the set of absent vertices provided that the tree remains connected. The problem of finding an a priori spanning tree of minimum expected length is the probabilistic minimum spanning tree (pmst) problem. In order to clarify the definition of the pmst problem, consider the example in Figure 1. If the a priori tree is T and nodes are the only ones not present, the tree becomes ti. One can easily observe that if every node is present with probability p. 1 for all i E V then the problem reduces to the classical mst problem. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The Probabilistic Minimum Spanning Tree Problem

Author : Dimitris Bertsimas
Publisher : Legare Street Press
ISBN 13 : 9781019946701
Total Pages : 0 pages
Book Rating : 4.9/5 (467 download)

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Book Synopsis The Probabilistic Minimum Spanning Tree Problem by : Dimitris Bertsimas

Download or read book The Probabilistic Minimum Spanning Tree Problem written by Dimitris Bertsimas and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dimitris Bertsimas, an expert in the field of operations research, provides an in-depth exploration of the probabilistic minimum spanning tree problem. With detailed analysis of various algorithms and combinatorial properties, this publication will appeal to researchers and practitioners alike. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Combinatorial Optimization

Author : Bernhard Korte
Publisher : Springer Science & Business Media
ISBN 13 : 3540718443
Total Pages : 628 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Combinatorial Optimization by : Bernhard Korte

Download or read book Combinatorial Optimization written by Bernhard Korte and published by Springer Science & Business Media. This book was released on 2007-11-04 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now fully updated in a third edition, this is a comprehensive textbook on combinatorial optimization. It puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. The book contains complete but concise proofs, also for many deep results, some of which have not appeared in print before. Recent topics are covered as well, and numerous references are provided. This third edition contains a new chapter on facility location problems, an area which has been extremely active in the past few years. Furthermore there are several new sections and further material on various topics. New exercises and updates in the bibliography were added.

Steiner Tree Problems in Computer Communication Networks

Author : Dingzhu Du
Publisher : World Scientific
ISBN 13 : 9812791442
Total Pages : 373 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Steiner Tree Problems in Computer Communication Networks by : Dingzhu Du

Download or read book Steiner Tree Problems in Computer Communication Networks written by Dingzhu Du and published by World Scientific. This book was released on 2008 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Steiner tree problem is one of the most important combinatorial optimization problems. It has a long history that can be traced back to the famous mathematician Fermat (1601-1665). This book studies three significant breakthroughs on the Steiner tree problem that were achieved in the 1990s, and some important applications of Steiner tree problems in computer communication networks researched in the past fifteen years. It not only covers some of the most recent developments in Steiner tree problems, but also discusses various combinatorial optimization methods, thus providing a balance between theory and practice.

Computing and Combinatorics

Author : Danny Z. Chen
Publisher : Springer Science & Business Media
ISBN 13 : 3540369252
Total Pages : 542 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Computing and Combinatorics by : Danny Z. Chen

Download or read book Computing and Combinatorics written by Danny Z. Chen and published by Springer Science & Business Media. This book was released on 2006-07-31 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the refereed proceedings of the 12th Annual International Computing and Combinatorics Conference, COCOON 2006, held in Taipei, Taiwan, August 2006. The book offers 52 revised full papers presented together with abstracts of 2 invited talks. The papers are organized in topical sections on computational economics, finance, and management, graph algorithms, computational complexity and computability, quantum computing, computational biology and medicine, computational geometry, graph theory, and more.

Introduction to Combinatorial Optimization

Author : Ding-Zhu Du
Publisher : Springer Nature
ISBN 13 : 3031105966
Total Pages : 407 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Introduction to Combinatorial Optimization by : Ding-Zhu Du

Download or read book Introduction to Combinatorial Optimization written by Ding-Zhu Du and published by Springer Nature. This book was released on 2022-09-26 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory courses in combinatorial optimization are popular at the upper undergraduate/graduate levels in computer science, industrial engineering, and business management/OR, owed to its wide applications in these fields. There are several published textbooks that treat this course and the authors have used many of them in their own teaching experiences. This present text fills a gap and is organized with a stress on methodology and relevant content, providing a step-by-step approach for the student to become proficient in solving combinatorial optimization problems. Applications and problems are considered via recent technology developments including wireless communication, cloud computing, social networks, and machine learning, to name several, and the reader is led to the frontiers of combinatorial optimization. Each chapter presents common problems, such as minimum spanning tree, shortest path, maximum matching, network flow, set-cover, as well as key algorithms, such as greedy algorithm, dynamic programming, augmenting path, and divide-and-conquer. Historical notes, ample exercises in every chapter, strategically placed graphics, and an extensive bibliography are amongst the gems of this textbook.

Spanning Trees and Optimization Problems

Author : Bang Ye Wu
Publisher : CRC Press
ISBN 13 : 1135437033
Total Pages : 187 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Spanning Trees and Optimization Problems by : Bang Ye Wu

Download or read book Spanning Trees and Optimization Problems written by Bang Ye Wu and published by CRC Press. This book was released on 2004-01-27 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: The design of approximation algorithms for spanning tree problems has become an exciting and important area of theoretical computer science and also plays a significant role in emerging fields such as biological sequence alignments and evolutionary tree construction. While work in this field remains quite active, the time has come to collect under one cover spanning tree properties, classical results, and recent research developments. Spanning Trees and Optimization Problems offers the first complete treatment of spanning tree algorithms, from their role in classical computer science to their most modern applications. The authors first explain the general properties of spanning trees, then focus on three main categories: minimum spanning trees, shortest-paths trees, and minimum routing cost spanning trees. Along with the theoretical descriptions of the methods, numerous examples and applications illustrate the concepts in practice. The final chapter explores several other interesting spanning trees, including maximum leaf spanning trees, minimum diameter spanning trees, Steiner trees, and evolutionary trees. With logical organization, well chosen topics, and easy to understand pseudocode, the authors provide not only a full, rigorous treatment of theory and applications, but also an excellent handbook for spanning tree algorithms. This book will be a welcome addition to your reference shelf whether your interests lie in graph and approximation algorithms for theoretical work or you use graph techniques to solve practical problems

Handbook of Optimization in Telecommunications

Author : Mauricio G.C. Resende
Publisher : Springer Science & Business Media
ISBN 13 : 0387301658
Total Pages : 1120 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Handbook of Optimization in Telecommunications by : Mauricio G.C. Resende

Download or read book Handbook of Optimization in Telecommunications written by Mauricio G.C. Resende and published by Springer Science & Business Media. This book was released on 2008-12-10 with total page 1120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive handbook brings together experts who use optimization to solve problems that arise in telecommunications. It is the first book to cover in detail the field of optimization in telecommunications. Recent optimization developments that are frequently applied to telecommunications are covered. The spectrum of topics covered includes planning and design of telecommunication networks, routing, network protection, grooming, restoration, wireless communications, network location and assignment problems, Internet protocol, World Wide Web, and stochastic issues in telecommunications. The book’s objective is to provide a reference tool for the increasing number of scientists and engineers in telecommunications who depend upon optimization.

PROBABILISTIC MINIMUM SPANNING TREE PROBLEM

Author : DIMITRIS. BERTSIMAS
Publisher :
ISBN 13 : 9781033587805
Total Pages : 0 pages
Book Rating : 4.5/5 (878 download)

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Book Synopsis PROBABILISTIC MINIMUM SPANNING TREE PROBLEM by : DIMITRIS. BERTSIMAS

Download or read book PROBABILISTIC MINIMUM SPANNING TREE PROBLEM written by DIMITRIS. BERTSIMAS and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Computational Geometry

Author : J.R. Sack
Publisher : Elsevier
ISBN 13 : 0080529682
Total Pages : 1087 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Computational Geometry by : J.R. Sack

Download or read book Handbook of Computational Geometry written by J.R. Sack and published by Elsevier. This book was released on 1999-12-13 with total page 1087 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Geometry is an area that provides solutions to geometric problems which arise in applications including Geographic Information Systems, Robotics and Computer Graphics. This Handbook provides an overview of key concepts and results in Computational Geometry. It may serve as a reference and study guide to the field. Not only the most advanced methods or solutions are described, but also many alternate ways of looking at problems and how to solve them.

Combinatorial Optimization

Author : Christos H. Papadimitriou
Publisher : Courier Corporation
ISBN 13 : 0486320138
Total Pages : 528 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Combinatorial Optimization by : Christos H. Papadimitriou

Download or read book Combinatorial Optimization written by Christos H. Papadimitriou and published by Courier Corporation. This book was released on 2013-04-26 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text considers the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; local search heuristics for NP-complete problems, more. 1982 edition.

Multicriteria Optimization

Author : Matthias Ehrgott
Publisher : Springer Science & Business Media
ISBN 13 : 3662221993
Total Pages : 248 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis Multicriteria Optimization by : Matthias Ehrgott

Download or read book Multicriteria Optimization written by Matthias Ehrgott and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Life is about decisions. Decisions, no matter if made by a group or an indi vidual, involve several conflicting objectives. The observation that real world problems have to be solved optimally according to criteria, which prohibit an "ideal" solution - optimal for each decision-maker under each of the criteria considered - has led to the development of multicriteria optimization. From its first roots, which where laid by Pareto at the end of the 19th century the discipline has prospered and grown, especially during the last three decades. Today, many decision support systems incorporate methods to deal with conflicting objectives. The foundation for such systems is a mathematical theory of optimization under multiple objectives. Fully aware of the fact that there have been excellent textbooks on the topic before, I do not claim that this is better text, but it has a has a consid erably different focus. Some of the available books develop the mathematical background in great depth, such as [SNT85, GN90, Jah86). Others focus on a specific structure of the problems covered as [Zel74, Ste85, Mie99) or on methodology [Yu85, CH83a, HM79). Finally there is the area of multicriteria decision aiding [Roy96, Vin92, KR93), the main goal of which is to help deci sion makers find the final solution (among many "optimal" ones) eventually to be implemented.

Combinatorial Algorithms for Integrated Circuit Layout

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3322921069
Total Pages : 715 pages
Book Rating : 4.3/5 (229 download)

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Book Synopsis Combinatorial Algorithms for Integrated Circuit Layout by :

Download or read book Combinatorial Algorithms for Integrated Circuit Layout written by and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 715 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last decade has brought explosive growth in the technology for manufac turing integrated circuits. Integrated circuits with several hundred thousand transistors are now commonplace. This manufacturing capability, combined with the economic benefits of large electronic systems, is forcing a revolution in the design of these systems and providing a challenge to those people in terested in integrated system design. Modern circuits are too complex for an individual to comprehend completely. Managing tremendous complexity and automating the design process have become crucial issues. Two groups are interested in dealing with complexity and in developing algorithms to automate the design process. One group is composed of practi tioners in computer-aided design (CAD) who develop computer programs to aid the circuit-design process. The second group is made up of computer scientists and mathemati'::~l\ns who are interested in the design and analysis of efficient combinatorial aJ::,orithms. These two groups have developed separate bodies of literature and, until recently, have had relatively little interaction. An obstacle to bringing these two groups together is the lack of books that discuss issues of importance to both groups in the same context. There are many instances when a familiarity with the literature of the other group would be beneficial. Some practitioners could use known theoretical results to improve their "cut and try" heuristics. In other cases, theoreticians have published impractical or highly abstracted toy formulations, thinking that the latter are important for circuit layout.

Encyclopedia of Optimization

Author : Christodoulos A. Floudas
Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Encyclopedia of Optimization by : Christodoulos A. Floudas

Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Generalized Network Design Problems

Author : Petrica C. Pop
Publisher : Walter de Gruyter
ISBN 13 : 3110267683
Total Pages : 216 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Generalized Network Design Problems by : Petrica C. Pop

Download or read book Generalized Network Design Problems written by Petrica C. Pop and published by Walter de Gruyter. This book was released on 2012-10-30 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial optimization is a fascinating topic. Combinatorial optimization problems arise in a wide variety of important fields such as transportation, telecommunications, computer networking, location, planning, distribution problems, etc. Important and significant results have been obtained on the theory, algorithms and applications over the last few decades. In combinatorial optimization, many network design problems can be generalized in a natural way by considering a related problem on a clustered graph, where the original problem's feasibility constraints are expressed in terms of the clusters, i.e., node sets instead of individual nodes. This class of problems is usually referred to as generalized network design problems (GNDPs) or generalized combinatorial optimization problems. The express purpose of this monograph is to describe a series of mathematical models, methods, propositions, algorithms developed in the last years on generalized network design problems in a unified manner. The book consists of seven chapters, where in addition to an introductory chapter, the following generalized network design problems are formulated and examined: the generalized minimum spanning tree problem, the generalized traveling salesman problem, the railway traveling salesman problem, the generalized vehicle routing problem, the generalized fixed-charge network design problem and the generalized minimum vertex-biconnected network problem. The book will be useful for researchers, practitioners, and graduate students in operations research, optimization, applied mathematics and computer science. Due to the substantial practical importance of some presented problems, researchers in other areas will find this book useful, too.