The Euclidean Matching Problem

Author : Gabriele Sicuro
Publisher : Springer
Page : 136 pages
File Size : 44,6 Mb
Release : 2016-10-24
Category : Science
ISBN : 9783319465777

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The Euclidean Matching Problem by Gabriele Sicuro Pdf

This thesis discusses the random Euclidean bipartite matching problem, i.e., the matching problem between two different sets of points randomly generated on the Euclidean domain. The presence of both randomness and Euclidean constraints makes the study of the average properties of the solution highly relevant. The thesis reviews a number of known results about both matching problems and Euclidean matching problems. It then goes on to provide a complete and general solution for the one dimensional problem in the case of convex cost functionals and, moreover, discusses a potential approach to the average optimal matching cost and its finite size corrections in the quadratic case. The correlation functions of the optimal matching map in the thermodynamical limit are also analyzed. Lastly, using a functional approach, the thesis puts forward a general recipe for the computation of the correlation function of the optimal matching in any dimension and in a generic domain.

Author : Russell Duffy
Publisher : Createspace Independent Publishing Platform
Page : 140 pages
File Size : 54,9 Mb
Release : 2017-03-22
Category : Electronic
ISBN : 1548311170

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The Euclidean Matching Problem by Russell Duffy Pdf

This thesis discusses the random Euclidean bipartite matching problem, i.e., the matching problem between two different sets of points randomly generated on the Euclidean domain. The presence of both randomness and Euclidean constraints makes the study of the average properties of the solution highly relevant. The thesis reviews a number of known results about both matching problems and Euclidean matching problems. It then goes on to provide a complete and general solution for the one dimensional problem in the case of convex cost functionals and, moreover, discusses a potential approach to the average optimal matching cost and its finite size corrections in the quadratic case. The correlation functions of the optimal matching map in the thermodynamical limit are also analyzed. Lastly, using a functional approach, the thesis puts forward a general recipe for the computation of the correlation function of the optimal matching in any dimension and in a generic domain.

Author : Joshua Beil
Publisher : Unknown
Page : 140 pages
File Size : 44,7 Mb
Release : 2017-05-08
Category : Electronic
ISBN : 1975739043

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The Euclidean Matching Problem by Joshua Beil Pdf

This thesis discusses the random Euclidean bipartite matching problem, i.e., the matching problem between two different sets of points randomly generated on the Euclidean domain. The presence of both randomness and Euclidean constraints makes the study of the average properties of the solution highly relevant. The thesis reviews a number of known results about both matching problems and Euclidean matching problems. It then goes on to provide a complete and general solution for the one dimensional problem in the case of convex cost functionals and, moreover, discusses a potential approach to the average optimal matching cost and its finite size corrections in the quadratic case.

Author : Osvaldo Olivar
Publisher : Unknown
Page : 140 pages
File Size : 51,6 Mb
Release : 2017-05-31
Category : Electronic
ISBN : 1974382621

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The Euclidean Matching Problem by Osvaldo Olivar Pdf

This thesis discusses the random Euclidean bipartite matching problem, i.e., the matching problem between two different sets of points randomly generated on the Euclidean domain. The presence of both randomness and Euclidean constraints makes the study of the average properties of the solution highly relevant. The thesis reviews a number of known results about both matching problems and Euclidean matching problems. It then goes on to provide a complete and general solution for the one dimensional problem in the case of convex cost functionals and, moreover, discusses a potential approach to the average optimal matching cost and its finite size corrections in the quadratic case. The correlation functions of the optimal matching map in the thermodynamical limit are also analyzed. Lastly, using a functional approach.

Author : William J. Cook,William H. Cunningham,William R. Pulleyblank,Alexander Schrijver
Publisher : John Wiley & Sons
Page : 370 pages
File Size : 46,6 Mb
Release : 2011-09-30
Category : Mathematics
ISBN : 9781118031391

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Combinatorial Optimization by William J. Cook,William H. Cunningham,William R. Pulleyblank,Alexander Schrijver Pdf

A complete, highly accessible introduction to one of today's most exciting areas of applied mathematics One of the youngest, most vital areas of applied mathematics, combinatorial optimization integrates techniques from combinatorics, linear programming, and the theory of algorithms. Because of its success in solving difficult problems in areas from telecommunications to VLSI, from product distribution to airline crew scheduling, the field has seen a ground swell of activity over the past decade. Combinatorial Optimization is an ideal introduction to this mathematical discipline for advanced undergraduates and graduate students of discrete mathematics, computer science, and operations research. Written by a team of recognized experts, the text offers a thorough, highly accessible treatment of both classical concepts and recent results. The topics include: * Network flow problems * Optimal matching * Integrality of polyhedra * Matroids * NP-completeness Featuring logical and consistent exposition, clear explanations of basic and advanced concepts, many real-world examples, and helpful, skill-building exercises, Combinatorial Optimization is certain to become the standard text in the field for many years to come.

Author : Anonim
Publisher : SIAM
Page : 756 pages
File Size : 43,9 Mb
Release : 1994-01-01
Category : Science
ISBN : 0898713293

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Proceedings of the Fifth Annual ACM-SIAM Symposium on Discrete Algorithms by Anonim Pdf

The January 1994 Symposium was jointly sponsored by the ACM Special Interest Group for Automata and Computability Theory and the SIAM Activity Group on Discrete Mathematics. Among the topics in 79 (unrefereed) papers: comparing point sets under projection; on-line search in a simple polygon; low- degree tests; maximal empty ellipsoids; roots of a polynomial and its derivatives; dynamic algebraic algorithms; fast comparison of evolutionary trees; an efficient algorithm for dynamic text editing; and tight bounds for dynamic storage allocation. No index. Annotation copyright by Book News, Inc., Portland, OR

Author : Joseph E. Yukich
Publisher : Springer
Page : 162 pages
File Size : 44,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540696278

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Probability Theory of Classical Euclidean Optimization Problems by Joseph E. Yukich Pdf

This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using two-sided additivity and isoperimetry, it formulates general methods describing the total edge length of random graphs in Euclidean space. The approach furnishes strong laws of large numbers, large deviations, and rates of convergence for solutions to the random versions of various classic optimization problems, including the traveling salesman, minimal spanning tree, minimal matching, minimal triangulation, two-factor, and k-median problems. Essentially self-contained, this monograph may be read by probabilists, combinatorialists, graph theorists, and theoretical computer scientists.

Author : Tetsuo Asano
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 48,5 Mb
Release : 1996-11-27
Category : Computers
ISBN : 3540620486

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Algorithms and Computation by Tetsuo Asano Pdf

Today the cemented joint prosthesis operation is one of the most frequent procedures in orthopaedic surgery. During the past 30 years the individual steps of such an operation have been carefully validated and thus allow for a reproducible and standardized operation, including a reliable prognosis for the maintenance of the joint. This manual is a practical guide to a complication preventing cementing technique, cement fixation, maintenance of the bone and diamond technique. Clear drawings and diagrams guide the reader through the pre-operative, peri-operative and post-operative steps. The manual covers all possible complications and gives clear instructions, so as to prevent complications but also to cope with them if they occur. Finally, it covers all forensic criteria to be considered.

Author : Steven R. Finch
Publisher : Cambridge University Press
Page : 634 pages
File Size : 40,9 Mb
Release : 2003-08-18
Category : Mathematics
ISBN : 0521818052

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Mathematical Constants by Steven R. Finch Pdf

Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Author : Ernst W. Mayr,Gunther Schmidt,Gottfried Tinhofer
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 44,8 Mb
Release : 1995-03-17
Category : Computers
ISBN : 3540590714

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Graph-Theoretic Concepts in Computer Science by Ernst W. Mayr,Gunther Schmidt,Gottfried Tinhofer Pdf

This volume presents the proceedings of the 20th International Workshop on Graph-Theoretic Concepts in Computer Science (WG '94), held in Herrsching, Germany in June 1994. The volume contains 32 thoroughly revised papers selected from 66 submissions and provides an up-to-date snapshot of the research performed in the field. The topics addressed are graph grammars, treewidth, special graph classes, algorithms on graphs, broadcasting and architecture, planar graphs and related problems, and special graph problems.

Author : Yazmin Maldonado,Leonardo Trujillo,Oliver Schütze,Annalisa Riccardi,Massimiliano Vasile
Publisher : Springer
Page : 282 pages
File Size : 46,7 Mb
Release : 2017-09-12
Category : Technology & Engineering
ISBN : 9783319640631

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NEO 2016 by Yazmin Maldonado,Leonardo Trujillo,Oliver Schütze,Annalisa Riccardi,Massimiliano Vasile Pdf

This volume comprises a selection of works presented at the Numerical and Evolutionary Optimization (NEO 2016) workshop held in September 2016 in Tlalnepantla, Mexico. The development of powerful search and optimization techniques is of great importance in today’s world and requires researchers and practitioners to tackle a growing number of challenging real-world problems. In particular, there are two well-established and widely known fields that are commonly applied in this area: (i) traditional numerical optimization techniques and (ii) comparatively recent bio-inspired heuristics. Both paradigms have their unique strengths and weaknesses, allowing them to solve some challenging problems while still failing in others. The goal of the NEO workshop series is to bring together experts from these and related fields to discuss, compare and merge their complementary perspectives in order to develop fast and reliable hybrid methods that maximize the strengths and minimize the weaknesses of the underlying paradigms. In doing so, NEO promotes the development of new techniques that are applicable to a broader class of problems. Moreover, NEO fosters the understanding and adequate treatment of real-world problems particularly in emerging fields that affect all of us, such as healthcare, smart cities, big data, among many others. The extended papers presented in the book contribute to achieving this goal.

Author : Tetsuo Asano
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 41,7 Mb
Release : 1990-08-02
Category : Business & Economics
ISBN : 3540529217

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Algorithms by Tetsuo Asano Pdf

This is the proceedings of the SIGAL International Symposium on Algorithms held at CSK Information Education Center, Tokyo, Japan, August 16-18, 1990. SIGAL (Special Interest Group on Algorithms) was organized within the Information Processing Society of Japan in 1988 to encourage research in the field of discrete algorithms, and held 6-8 research meetings each year. This symposium is the first international symposium organized by SIGAL. In response to the call for papers, 88 papers were submitted from around the world. The program committee selected 34 for presentation at the symposium. The symposium also included 5 invited lectures and 10 invited presentations. The subjects of the papers range widely in the field of discrete algorithms in theoretical computer science. Keywords for these subjects are: computational geometry, graph algorithms, complexity theory, parallel algorithms, distributed computing, and computational algebra.

Author : Rabe v. Randow
Publisher : Springer Science & Business Media
Page : 522 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642516542

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Integer Programming and Related Areas by Rabe v. Randow Pdf

The fields of integer programming and combinatorial optimization continue to be areas of great vitality, with an ever increasing number of publications and journals appearing. A classified bibliography thus continues to be necessary and useful today, even more so than it did when the project, of which this is the fifth volume, was started in 1970 in the Institut fur Okonometrie und Operations Research of the University of Bonn. The pioneering first volume was compiled by Claus Kastning during the years 1970 - 1975 and appeared in 1976 as Volume 128 of the series Lecture Notes in Economics and Mathematical Systems published by the Springer Verlag. Work on the project was continued by Dirk Hausmann, Reinhardt Euler, and Rabe von Randow, and resulted in the publication of the second, third, and fourth volumes in 1978, 1982, and 1985 (Volumes 160, 197, and 243 of the above series). The present book constitutes the fifth volume of the bibliography and covers the period from autumn 1984 to the end of 1987. It contains 5864 new publications by 4480 authors and was compiled by Rabe von Randow. Its form is practically identical to that of the first four volumes, some additions having been made to the subject list.

Author : R.v. Randow
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642465383

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Integer Programming and Related Areas by R.v. Randow Pdf

Author : Mikhail J. Atallah,Marina Blanton
Publisher : CRC Press
Page : 1944 pages
File Size : 45,9 Mb
Release : 2022-05-30
Category : Computers
ISBN : 9781439832332

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Algorithms and Theory of Computation Handbook - 2 Volume Set by Mikhail J. Atallah,Marina Blanton Pdf

Algorithms and Theory of Computation Handbook, Second Edition in a two volume set, provides an up-to-date compendium of fundamental computer science topics and techniques. It also illustrates how the topics and techniques come together to deliver efficient solutions to important practical problems. New to the Second Edition: Along with updating and revising many of the existing chapters, this second edition contains more than 20 new chapters. This edition now covers external memory, parameterized, self-stabilizing, and pricing algorithms as well as the theories of algorithmic coding, privacy and anonymity, databases, computational games, and communication networks. It also discusses computational topology, computational number theory, natural language processing, and grid computing and explores applications in intensity-modulated radiation therapy, voting, DNA research, systems biology, and financial derivatives. This best-selling handbook continues to help computer professionals and engineers find significant information on various algorithmic topics. The expert contributors clearly define the terminology, present basic results and techniques, and offer a number of current references to the in-depth literature. They also provide a glimpse of the major research issues concerning the relevant topics