The Structure of Near-minimum Edge Cuts

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ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (377 download)

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Book Synopsis The Structure of Near-minimum Edge Cuts by : Andras Benczúr

Download or read book The Structure of Near-minimum Edge Cuts written by Andras Benczúr and published by . This book was released on 1994 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Let G be an undirected k-edge connected graph. In this paper we give a representation for all edge cuts with capacity not exceeding roughly (6/5)k. This generalizes the cactus representation (Dinits et al) for all minimum cuts. Karger proved that the number of cuts within a multiplicative factor α of the connectivity is at most O(n[superscript 2α]). We improve this bound to O(n2) for α=6/5. An important corollary of our result is a proof with new insights to the Lovaśz splitting theorem. A splitting of the edge pair us and vs at vertex s means replacing the two edges by uv. A splitting is admissible if it preserves the minimum local edge connectivity of the graph apart from vertex s. In other words, we may split us and vs if there is no set of degree minimum or minimum+1 containing both u and v; this property can be checked by our representation. Our new technique makes it possible to derive structure results of admissible pairs; among others we can show that splittable pairs form a connected graph unless the degree of s is odd or equals 4. We believe that by using our representation it will be possible to improve on results using the cactus or splittings. One such result is the edge augmentation problem where one needs a minimum cardinality edge set which increases the connectivity of the graph. The algorithm of Naor, Gusfield and Martels applies the cactus representation to solve this problem; Frank's algorithm relies on the splitting theorems."

The Structure of Minimum Cuts with Applications to Graph Augmentation

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ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.:/5 (47 download)

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Book Synopsis The Structure of Minimum Cuts with Applications to Graph Augmentation by : Dalit Naor

Download or read book The Structure of Minimum Cuts with Applications to Graph Augmentation written by Dalit Naor and published by . This book was released on 1991 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the Fourth Annual ACM-SIAM Symposium on Discrete Algorithms

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Publisher : SIAM
ISBN 13 : 9780898713138
Total Pages : 532 pages
Book Rating : 4.7/5 (131 download)

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Book Synopsis Proceedings of the Fourth Annual ACM-SIAM Symposium on Discrete Algorithms by :

Download or read book Proceedings of the Fourth Annual ACM-SIAM Symposium on Discrete Algorithms written by and published by SIAM. This book was released on 1993-01-01 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation Proceedings of a conference that took place in Austin, Texas in January 1993. Contributors are impressive names from the field of computer science, including Donald Knuth, author of several computer books of "biblical" importance. The diverse selection of paper topics includes dynamic point location, ray shooting, and the shortest paths in planar maps; optimistic sorting and information theoretic complexity; and an optimal randomized algorithm for the cow-path problem. No index. Annotation copyright by Book News, Inc., Portland, OR.

Building Bridges

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ISBN 13 :
Total Pages : 556 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Building Bridges by : Martin Grötschel

Download or read book Building Bridges written by Martin Grötschel and published by . This book was released on 2008 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Discrete mathematics and theoretical computer science are closely linked research areas with strong impacts on applications and various other scientific disciplines. Both fields deeply cross fertilize each other. One of the persons who particularly contributed to building bridges between these and many other areas is Laszlo Lovasz, a scholar whose outstanding scientific work has defined and shaped many research directions in the last 40 years. A number of friends and colleagues, all top authorities in their fields of expertise and all invited plenary speakers at one of two conferences in August 2008 in Hungary, both celebrating Lovasz's 60th birthday, have contributed their latest research papers to this volume. This collection of articles offers an excellent view on the state of combinatorics and related topics and will be of interest for experienced specialists as well as young researchers." --Book Jacket.

Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms

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ISBN 13 :
Total Pages : 2056 pages
Book Rating : 4.:/5 (941 download)

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Book Synopsis Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms by : Piotr Indyk

Download or read book Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms written by Piotr Indyk and published by . This book was released on 2015 with total page 2056 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The 3 Edge Components and a Structural Description of All 3 Edge Cuts in a Graph

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ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (255 download)

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Book Synopsis The 3 Edge Components and a Structural Description of All 3 Edge Cuts in a Graph by : Efim Dinitz

Download or read book The 3 Edge Components and a Structural Description of All 3 Edge Cuts in a Graph written by Efim Dinitz and published by . This book was released on 1992 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integer Programming and Combinatorial Optimization

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Publisher : Springer Nature
ISBN 13 : 3031069013
Total Pages : 469 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Integer Programming and Combinatorial Optimization by : Karen Aardal

Download or read book Integer Programming and Combinatorial Optimization written by Karen Aardal and published by Springer Nature. This book was released on 2022-05-27 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 23rd International Conference on Integer Programming and Combinatorial Optimization, IPCO 2022, held in Eindhoven, The Netherlands, in June 2022. The 33 full papers presented were carefully reviewed and selected from 93 submissions addressing key techniques of document analysis. IPCO is under the auspices of the Mathematical Optimization Society, and it is an important forum for presenting the latest results of theory and practice of the various aspects of discrete optimization.

Art Gallery Theorems and Algorithms

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Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Art Gallery Theorems and Algorithms by : Joseph O'Rourke

Download or read book Art Gallery Theorems and Algorithms written by Joseph O'Rourke and published by Oxford University Press, USA. This book was released on 1987 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Art gallery theorems and algorithms are so called because they relate to problems involving the visibility of geometrical shapes and their internal surfaces. This book explores generalizations and specializations in these areas. Among the presentations are recently discovered theorems on orthogonal polygons, polygons with holes, exterior visibility, visibility graphs, and visibility in three dimensions. The author formulates many open problems and offers several conjectures, providing arguments which may be followed by anyone familiar with basic graph theory and algorithms. This work may be applied to robotics and artificial intelligence as well as other fields, and will be especially useful to computer scientists working with computational and combinatorial geometry.

Network Interdiction and Stochastic Integer Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 030648109X
Total Pages : 134 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Network Interdiction and Stochastic Integer Programming by : David L. Woodruff

Download or read book Network Interdiction and Stochastic Integer Programming written by David L. Woodruff and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: On March 15, 2002 we held a workshop on network interdiction and the more general problem of stochastic mixed integer programming at the University of California, Davis. Jesús De Loera and I co-chaired the event, which included presentations of on-going research and discussion. At the workshop, we decided to produce a volume of timely work on the topics. This volume is the result. Each chapter represents state-of-the-art research and all of them were refereed by leading investigators in the respective fields. Problems - sociated with protecting and attacking computer, transportation, and social networks gain importance as the world becomes more dep- dent on interconnected systems. Optimization models that address the stochastic nature of these problems are an important part of the research agenda. This work relies on recent efforts to provide methods for - dressing stochastic mixed integer programs. The book is organized with interdiction papers first and the stochastic programming papers in the second part. A nice overview of the papers is provided in the Foreward written by Roger Wets.

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Publisher : IOS Press
ISBN 13 :
Total Pages : 4947 pages
Book Rating : 4./5 ( download)

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Book Synopsis by :

Download or read book written by and published by IOS Press. This book was released on with total page 4947 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Graph-theoretic Concepts in Computer Science

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ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Graph-theoretic Concepts in Computer Science by :

Download or read book Graph-theoretic Concepts in Computer Science written by and published by . This book was released on 1992 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Networks, Crowds, and Markets

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Publisher : Cambridge University Press
ISBN 13 : 1139490303
Total Pages : 745 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Networks, Crowds, and Markets by : David Easley

Download or read book Networks, Crowds, and Markets written by David Easley and published by Cambridge University Press. This book was released on 2010-07-19 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are all film stars linked to Kevin Bacon? Why do the stock markets rise and fall sharply on the strength of a vague rumour? How does gossip spread so quickly? Are we all related through six degrees of separation? There is a growing awareness of the complex networks that pervade modern society. We see them in the rapid growth of the internet, the ease of global communication, the swift spread of news and information, and in the way epidemics and financial crises develop with startling speed and intensity. This introductory book on the new science of networks takes an interdisciplinary approach, using economics, sociology, computing, information science and applied mathematics to address fundamental questions about the links that connect us, and the ways that our decisions can have consequences for others.

Official Gazette of the United States Patent and Trademark Office

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ISBN 13 :
Total Pages : 1404 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Official Gazette of the United States Patent and Trademark Office by : United States. Patent and Trademark Office

Download or read book Official Gazette of the United States Patent and Trademark Office written by United States. Patent and Trademark Office and published by . This book was released on 2002 with total page 1404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Discrete Structures

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Publisher : New Age International
ISBN 13 : 9788122408263
Total Pages : 966 pages
Book Rating : 4.4/5 (82 download)

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Book Synopsis Applied Discrete Structures by : K. D. Joshi

Download or read book Applied Discrete Structures written by K. D. Joshi and published by New Age International. This book was released on 1997 with total page 966 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although This Book Is Intended As A Sequel To Foundations Of Discrete Mathematics By The Same Author, It Can Be Read Independently Of The Latter, As The Relevant Background Needed Has Been Reviewed In Chapter 1. The Subsequent Chapters Deal With Graph Theory (With Applications), Analysis Of Algorithms (With A Detailed Study Of A Few Sorting Algorithms And A Discussion Of Tractability), Linear Programming (With Applications, Variations, Karmarkars Polynomial Time Algorithm, Integer And Quadratic Programming), Applications Of Algebra (To Polyas Theory Of Counting, Galois Theory, Coding Theory Of Designs). A Chapter On Matroids Familiarises The Reader With This Relatively New Branch Of Discrete Mathematics.Even Though Some Of The Topics Are Relatively Advanced, An Attempt Has Been Made To Keep The Style Elementary, So That A Sincere Student Can Read The Book On His Own. A Large Number Of Comments, Exercises, And References Is Included To Broaden The Readers Scope Of Vision. A Detailed Index Is Provided For Easy Reference.

Handbook of Combinatorics

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Publisher : Elsevier
ISBN 13 : 008093384X
Total Pages : 2404 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Handbook of Combinatorics by : R.L. Graham

Download or read book Handbook of Combinatorics written by R.L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 2404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics

Groups, Graphs and Random Walks

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Publisher : Cambridge University Press
ISBN 13 : 1316604403
Total Pages : 539 pages
Book Rating : 4.3/5 (166 download)

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Book Synopsis Groups, Graphs and Random Walks by : Tullio Ceccherini-Silberstein

Download or read book Groups, Graphs and Random Walks written by Tullio Ceccherini-Silberstein and published by Cambridge University Press. This book was released on 2017-06-29 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.

Combinatorial Optimization

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Publisher : SIAM
ISBN 13 : 0898714818
Total Pages : 140 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Combinatorial Optimization by : Gerard Cornuejols

Download or read book Combinatorial Optimization written by Gerard Cornuejols and published by SIAM. This book was released on 2001-01-01 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and elegant proofs of classical results and makes difficult results accessible.