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

Combinatorial Optimization

Author : Bernhard Korte
Publisher : Springer Science & Business Media
ISBN 13 : 3540292977
Total Pages : 596 pages
Book Rating : 4.5/5 (42 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 2006-01-27 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-written textbook on combinatorial optimization puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. The book contains complete (but concise) proofs, as well as many deep results, some of which have not appeared in any previous books.

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.

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.

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.

Probabilistic Combinatorial Optimization on Graphs

Author : Cécile Murat
Publisher : John Wiley & Sons
ISBN 13 : 1118614135
Total Pages : 202 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Probabilistic Combinatorial Optimization on Graphs by : Cécile Murat

Download or read book Probabilistic Combinatorial Optimization on Graphs written by Cécile Murat and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title provides a comprehensive survey over the subject of probabilistic combinatorial optimization, discussing probabilistic versions of some of the most paradigmatic combinatorial problems on graphs, such as the maximum independent set, the minimum vertex covering, the longest path and the minimum coloring. Those who possess a sound knowledge of the subject mater will find the title of great interest, but those who have only some mathematical familiarity and knowledge about complexity and approximation theory will also find it an accessible and informative read.

The Probabilistic Minimum Spanning Tree Problem

Author : Dimitris J. Bertsimas
Publisher :
ISBN 13 :
Total Pages : 41 pages
Book Rating : 4.:/5 (2 download)

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

Download or read book The Probabilistic Minimum Spanning Tree Problem written by Dimitris J. Bertsimas and published by . This book was released on 1988 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Iterative Methods in Combinatorial Optimization

Author : Lap Chi Lau
Publisher : Cambridge University Press
ISBN 13 : 1139499394
Total Pages : 255 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Iterative Methods in Combinatorial Optimization by : Lap Chi Lau

Download or read book Iterative Methods in Combinatorial Optimization written by Lap Chi Lau and published by Cambridge University Press. This book was released on 2011-04-18 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows. The presentation style is elementary enough to be accessible to anyone with exposure to basic linear algebra and graph theory, making the book suitable for introductory courses in combinatorial optimization at the upper undergraduate and beginning graduate levels. Discussions of advanced applications illustrate their potential for future application in research in approximation algorithms.

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.

Combinatorial Optimization

Author : B. N. Waphare
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173195600
Total Pages : 244 pages
Book Rating : 4.1/5 (956 download)

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Book Synopsis Combinatorial Optimization by : B. N. Waphare

Download or read book Combinatorial Optimization written by B. N. Waphare and published by Alpha Science Int'l Ltd.. This book was released on 2004 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed papers presented at a national workshop held at Dept.of Mathematics, University of Pune.

Combinatorial Optimization

Author : Christos H. Papadimitriou
Publisher : Courier Corporation
ISBN 13 : 0486320138
Total Pages : 530 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 530 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.

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.

Computing and Combinatorics

Author : Danny Z. Chen
Publisher : Springer
ISBN 13 : 3540369260
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. This book was released on 2006-11-15 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.

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

CATBox

Author : Winfried Hochstättler
Publisher : Springer Science & Business Media
ISBN 13 : 3642038220
Total Pages : 190 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis CATBox by : Winfried Hochstättler

Download or read book CATBox written by Winfried Hochstättler and published by Springer Science & Business Media. This book was released on 2010-03-16 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph algorithms are easy to visualize and indeed there already exists a variety of packages to animate the dynamics when solving problems from graph theory. Still it can be difficult to understand the ideas behind the algorithm from the dynamic display alone. CATBox consists of a software system for animating graph algorithms and a course book which we developed simultaneously. The software system presents both the algorithm and the graph and puts the user always in control of the actual code that is executed. In the course book, intended for readers at advanced undergraduate or graduate level, computer exercises and examples replace the usual static pictures of algorithm dynamics. For this volume we have chosen solely algorithms for classical problems from combinatorial optimization, such as minimum spanning trees, shortest paths, maximum flows, minimum cost flows, weighted and unweighted matchings both for bipartite and non-bipartite graphs. Find more information at http://schliep.org/CATBox/.