Global Methods For Combinatorial Isoperimetric Problems

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Global Methods for Combinatorial Isoperimetric Problems

Author : L. H. Harper
Publisher : Cambridge University Press
ISBN 13 : 9781139452083
Total Pages : 252 pages
Book Rating : 4.4/5 (52 download)

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Book Synopsis Global Methods for Combinatorial Isoperimetric Problems by : L. H. Harper

Download or read book Global Methods for Combinatorial Isoperimetric Problems written by L. H. Harper and published by Cambridge University Press. This book was released on 2004-02-09 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Certain constrained combinatorial optimization problems have a natural analogue in the continuous setting of the classical isoperimetric problem. The study of so called combinatorial isoperimetric problems exploits similarities between these two, seemingly disparate, settings. This text focuses on global methods. This means that morphisms, typically arising from symmetry or direct product decomposition, are employed to transform new problems into more restricted and easily solvable settings whilst preserving essential structure. This book is based on Professor Harper's many years' experience in teaching this subject and is ideal for graduate students entering the field. The author has increased the utility of the text for teaching by including worked examples, exercises and material about applications to computer science. Applied systematically, the global point of view can lead to surprising insights and results, and established researchers will find this to be a valuable reference work on an innovative method for problem solving.

Global Methods for Combinatorial Isoperimetric Problems

Author : Lawrence Hueston Harper
Publisher :
ISBN 13 : 9780511186042
Total Pages : 232 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Global Methods for Combinatorial Isoperimetric Problems by : Lawrence Hueston Harper

Download or read book Global Methods for Combinatorial Isoperimetric Problems written by Lawrence Hueston Harper and published by . This book was released on 2004 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on Professor Harper's substantial experience in teaching global methods in combinatorial optimisation and is ideal for graduate students entering the field as well as experienced researchers. The author has increased the utility of the text for teaching by including worked examples, exercises and material about applications to computer science.

Global Methods for Combinatorial Isoperimetric Problems

Author : L. H. Harper
Publisher :
ISBN 13 : 0511189745
Total Pages : 248 pages
Book Rating : 4.5/5 (111 download)

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Book Synopsis Global Methods for Combinatorial Isoperimetric Problems by : L. H. Harper

Download or read book Global Methods for Combinatorial Isoperimetric Problems written by L. H. Harper and published by . This book was released on 2006-05-16 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explores global methods in combinatorial optimization and is suitable for graduate students and researchers.

Computing and Combinatorics

Author : Xiaodong Hu
Publisher : Springer
ISBN 13 : 3540697330
Total Pages : 680 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Computing and Combinatorics by : Xiaodong Hu

Download or read book Computing and Combinatorics written by Xiaodong Hu and published by Springer. This book was released on 2008-06-19 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: The refereed proceedings of the 14th Annual International Computing and Combinatorics Conference, COCOON 2008, held in Dalian, China, in June 2008. The 66 revised full papers presented were carefully reviewed and selected from 172 submissions. The papers are organized in topical sections on algorithms and data structures, algorithmic game theory and online algorithms, automata, languages, logic, and computability, combinatorics related to algorithms and complexity, complexity theory, cryptography, reliability and security, and database theory, computational biology and bioinformatics, computational algebra, geometry, and number theory, graph drawing and information visualization, graph theory and algorithms, communication networks, and optimization, wireless network, network optimization, and scheduling problem.

Graph-Theoretic Problems and Their New Applications

Author : Frank Werner
Publisher : MDPI
ISBN 13 : 3039287982
Total Pages : 294 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Graph-Theoretic Problems and Their New Applications by : Frank Werner

Download or read book Graph-Theoretic Problems and Their New Applications written by Frank Werner and published by MDPI. This book was released on 2020-05-27 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is an important area of applied mathematics with a broad spectrum of applications in many fields. This book results from aSpecialIssue in the journal Mathematics entitled “Graph-Theoretic Problems and Their New Applications”. It contains 20 articles covering a broad spectrum of graph-theoretic works that were selected from 151 submitted papers after a thorough refereeing process. Among others, it includes a deep survey on mixed graphs and their use for solutions ti scheduling problems. Other subjects include topological indices, domination numbers of graphs, domination games, contraction mappings, and neutrosophic graphs. Several applications of graph theory are discussed, e.g., the use of graph theory in the context of molecular processes.

Wisdom Of Solomon, The: The Genius And Legacy Of Solomon Golomb

Author : Beatrice A Golomb
Publisher : World Scientific
ISBN 13 : 9811234388
Total Pages : 592 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Wisdom Of Solomon, The: The Genius And Legacy Of Solomon Golomb by : Beatrice A Golomb

Download or read book Wisdom Of Solomon, The: The Genius And Legacy Of Solomon Golomb written by Beatrice A Golomb and published by World Scientific. This book was released on 2023-07-07 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solomon Wolf Golomb left an unparalleled legacy of accomplishment and recognition for his work in the applications of mathematics to coding and communication theory. His legacy also includes a host of individuals whose lives and careers were immeasurably enriched by their interactions with him. The co-editors have attempted to collect many articles/essays in this volume, of a not-too-technical sort, by a representative collection of such individuals. Among their motivations is the wish to convince the reader of the incredibly prescient choice of his given name.The first section consists of three articles which have already appeared elsewhere, by noted experts in the fields where the majority of Sol's contributions lie — mathematics, computer science and electrical engineering. The second section consists of three articles by the co-editors in memory of and tribute to Sol. The third section contains 25-30 articles by Sol's family, friends, students, colleagues, etc. They cover a great range of topics and vary widely in length, technicality and other aspects. In the last section are contributions by Sol himself, covering various aspects of his career and interests, as well as other related material.

Pattern Recognition on Oriented Matroids

Author : Andrey O. Matveev
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110531143
Total Pages : 231 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Pattern Recognition on Oriented Matroids by : Andrey O. Matveev

Download or read book Pattern Recognition on Oriented Matroids written by Andrey O. Matveev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-09-11 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pattern Recognition on Oriented Matroids covers a range of innovative problems in combinatorics, poset and graph theories, optimization, and number theory that constitute a far-reaching extension of the arsenal of committee methods in pattern recognition. The groundwork for the modern committee theory was laid in the mid-1960s, when it was shown that the familiar notion of solution to a feasible system of linear inequalities has ingenious analogues which can serve as collective solutions to infeasible systems. A hierarchy of dialects in the language of mathematics, for instance, open cones in the context of linear inequality systems, regions of hyperplane arrangements, and maximal covectors (or topes) of oriented matroids, provides an excellent opportunity to take a fresh look at the infeasible system of homogeneous strict linear inequalities – the standard working model for the contradictory two-class pattern recognition problem in its geometric setting. The universal language of oriented matroid theory considerably simplifies a structural and enumerative analysis of applied aspects of the infeasibility phenomenon. The present book is devoted to several selected topics in the emerging theory of pattern recognition on oriented matroids: the questions of existence and applicability of matroidal generalizations of committee decision rules and related graph-theoretic constructions to oriented matroids with very weak restrictions on their structural properties; a study (in which, in particular, interesting subsequences of the Farey sequence appear naturally) of the hierarchy of the corresponding tope committees; a description of the three-tope committees that are the most attractive approximation to the notion of solution to an infeasible system of linear constraints; an application of convexity in oriented matroids as well as blocker constructions in combinatorial optimization and in poset theory to enumerative problems on tope committees; an attempt to clarify how elementary changes (one-element reorientations) in an oriented matroid affect the family of its tope committees; a discrete Fourier analysis of the important family of critical tope committees through rank and distance relations in the tope poset and the tope graph; the characterization of a key combinatorial role played by the symmetric cycles in hypercube graphs. Contents Oriented Matroids, the Pattern Recognition Problem, and Tope Committees Boolean Intervals Dehn–Sommerville Type Relations Farey Subsequences Blocking Sets of Set Families, and Absolute Blocking Constructions in Posets Committees of Set Families, and Relative Blocking Constructions in Posets Layers of Tope Committees Three-Tope Committees Halfspaces, Convex Sets, and Tope Committees Tope Committees and Reorientations of Oriented Matroids Topes and Critical Committees Critical Committees and Distance Signals Symmetric Cycles in the Hypercube Graphs

Lectures on Advances in Combinatorics

Author : Rudolf Ahlswede
Publisher : Springer Science & Business Media
ISBN 13 : 3540786023
Total Pages : 318 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Lectures on Advances in Combinatorics by : Rudolf Ahlswede

Download or read book Lectures on Advances in Combinatorics written by Rudolf Ahlswede and published by Springer Science & Business Media. This book was released on 2008-05-17 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures concentrate on highlights in Combinatorial (ChaptersII and III) and Number Theoretical (ChapterIV) Extremal Theory, in particular on the solution of famous problems which were open for many decades. However, the organization of the lectures in six chapters does neither follow the historic developments nor the connections between ideas in several cases. With the speci?ed auxiliary results in ChapterI on Probability Theory, Graph Theory, etc., all chapters can be read and taught independently of one another. In addition to the 16 lectures organized in 6 chapters of the main part of the book, there is supplementary material for most of them in the Appendix. In parti- lar, there are applications and further exercises, research problems, conjectures, and even research programs. The following books and reports [B97], [ACDKPSWZ00], [A01], and [ABCABDM06], mostly of the authors, are frequently cited in this book, especially in the Appendix, and we therefore mark them by short labels as [B], [N], [E], and [G]. We emphasize that there are also “Exercises” in [B], a “Problem Section” with contributions by several authors on pages 1063–1105 of [G], which are often of a combinatorial nature, and “Problems and Conjectures” on pages 172–173 of [E].

General Theory of Information Transfer and Combinatorics

Author : Rudolf Ahlswede
Publisher : Springer
ISBN 13 : 3540462457
Total Pages : 1128 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis General Theory of Information Transfer and Combinatorics by : Rudolf Ahlswede

Download or read book General Theory of Information Transfer and Combinatorics written by Rudolf Ahlswede and published by Springer. This book was released on 2006-12-08 with total page 1128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects 63 revised, full-papers contributed to a research project on the "General Theory of Information Transfer and Combinatorics" that was hosted from 2001-2004 at the Center for Interdisciplinary Research (ZIF) of Bielefeld University and several incorporated meetings. Topics covered include probabilistic models, cryptology, pseudo random sequences, quantum models, pattern discovery, language evolution, and network coding.

Algorithms and Architectures for Parallel Processing

Author : Jaideep Vaidya
Publisher : Springer
ISBN 13 : 3030050548
Total Pages : 652 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Algorithms and Architectures for Parallel Processing by : Jaideep Vaidya

Download or read book Algorithms and Architectures for Parallel Processing written by Jaideep Vaidya and published by Springer. This book was released on 2018-12-07 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four-volume set LNCS 11334-11337 constitutes the proceedings of the 18th International Conference on Algorithms and Architectures for Parallel Processing, ICA3PP 2018, held in Guangzhou, China, in November 2018. The 141 full and 50 short papers presented were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on Distributed and Parallel Computing; High Performance Computing; Big Data and Information Processing; Internet of Things and Cloud Computing; and Security and Privacy in Computing.

Theoretical Computer Science and Discrete Mathematics

Author : S. Arumugam
Publisher : Springer
ISBN 13 : 331964419X
Total Pages : 458 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Theoretical Computer Science and Discrete Mathematics by : S. Arumugam

Download or read book Theoretical Computer Science and Discrete Mathematics written by S. Arumugam and published by Springer. This book was released on 2017-08-14 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed post-conference proceedings of the International Conference on Theoretical Computer Science and Discrete Mathematics, held in Krishnankoil, India, in December 2016. The 57 revised full papers were carefully reviewed and selected from 210 submissions. The papers cover a broad range of topics such as line graphs and its generalizations, large graphs of given degree and diameter, graphoidal covers, adjacency spectrum, distance spectrum, b-coloring, separation dimension of graphs and hypergraphs, domination in graphs, graph labeling problems, subsequences of words and Parike matrices, lambda-design conjecture, graph algorithms and interference model for wireless sensor networks.

Algorithms and Discrete Applied Mathematics

Author : Daya Gaur
Publisher : Springer
ISBN 13 : 3319530070
Total Pages : 372 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Algorithms and Discrete Applied Mathematics by : Daya Gaur

Download or read book Algorithms and Discrete Applied Mathematics written by Daya Gaur and published by Springer. This book was released on 2017-01-24 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the Third International Conference on Algorithms and Discrete Applied Mathematics, CALDAM 2017, held in Goa, India, in February 2017. The 32 papers presented in this volume were carefully reviewed and selected from 103 submissions. They deal with the following areas: algorithms, graph theory, codes, polyhedral combinatorics, computational geometry, and discrete geometry.

Probability on Discrete Structures

Author : Harry Kesten
Publisher : Springer Science & Business Media
ISBN 13 : 9783540008453
Total Pages : 376 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Probability on Discrete Structures by : Harry Kesten

Download or read book Probability on Discrete Structures written by Harry Kesten and published by Springer Science & Business Media. This book was released on 2004 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability.

Algorithms and Architectures for Parallel Processing

Author : Meikang Qiu
Publisher : Springer Nature
ISBN 13 : 3030602397
Total Pages : 732 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Algorithms and Architectures for Parallel Processing by : Meikang Qiu

Download or read book Algorithms and Architectures for Parallel Processing written by Meikang Qiu and published by Springer Nature. This book was released on 2020-09-29 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-volume set LNCS 12452, 12453, and 12454 constitutes the proceedings of the 20th International Conference on Algorithms and Architectures for Parallel Processing, ICA3PP 2020, in New York City, NY, USA, in October 2020. The total of 142 full papers and 5 short papers included in this proceedings volumes was carefully reviewed and selected from 495 submissions. ICA3PP is covering the many dimensions of parallel algorithms and architectures, encompassing fundamental theoretical approaches, practical experimental projects, and commercial components and systems. As applications of computing systems have permeated in every aspects of daily life, the power of computing system has become increasingly critical. This conference provides a forum for academics and practitioners from countries around the world to exchange ideas for improving the efficiency, performance, reliability, security and interoperability of computing systems and applications. ICA3PP 2020 focus on two broad areas of parallel and distributed computing, i.e. architectures, algorithms and networks, and systems and applications.

New Foundations for Information Theory

Author : David Ellerman
Publisher : Springer Nature
ISBN 13 : 3030865525
Total Pages : 121 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis New Foundations for Information Theory by : David Ellerman

Download or read book New Foundations for Information Theory written by David Ellerman and published by Springer Nature. This book was released on 2021-10-30 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers a new foundation for information theory that is based on the notion of information-as-distinctions, being directly measured by logical entropy, and on the re-quantification as Shannon entropy, which is the fundamental concept for the theory of coding and communications. Information is based on distinctions, differences, distinguishability, and diversity. Information sets are defined that express the distinctions made by a partition, e.g., the inverse-image of a random variable so they represent the pre-probability notion of information. Then logical entropy is a probability measure on the information sets, the probability that on two independent trials, a distinction or “dit” of the partition will be obtained. The formula for logical entropy is a new derivation of an old formula that goes back to the early twentieth century and has been re-derived many times in different contexts. As a probability measure, all the compound notions of joint, conditional, and mutual logical entropy are immediate. The Shannon entropy (which is not defined as a measure in the sense of measure theory) and its compound notions are then derived from a non-linear dit-to-bit transform that re-quantifies the distinctions of a random variable in terms of bits—so the Shannon entropy is the average number of binary distinctions or bits necessary to make all the distinctions of the random variable. And, using a linearization method, all the set concepts in this logical information theory naturally extend to vector spaces in general—and to Hilbert spaces in particular—for quantum logical information theory which provides the natural measure of the distinctions made in quantum measurement. Relatively short but dense in content, this work can be a reference to researchers and graduate students doing investigations in information theory, maximum entropy methods in physics, engineering, and statistics, and to all those with a special interest in a new approach to quantum information theory.

Recent Trends in Graph Theory & Combinatorics

Author : Dr. K.S. Lakshmi
Publisher : Allied Publishers
ISBN 13 : 9385926500
Total Pages : 216 pages
Book Rating : 4.3/5 (859 download)

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Book Synopsis Recent Trends in Graph Theory & Combinatorics by : Dr. K.S. Lakshmi

Download or read book Recent Trends in Graph Theory & Combinatorics written by Dr. K.S. Lakshmi and published by Allied Publishers. This book was released on 2017-04-07 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The seminar was conducted to highlight the vital role of GRAPH THEORY & COMBINATORICS: • in developing mathematical theories for technological advancement and industrial innovation. • to bridge the gap between academia and industry. • to provide a platform for sharing the knowledge of the experts in the field among young students and researchers.

Nonlinear Analysis and Semilinear Elliptic Problems

Author : Antonio Ambrosetti
Publisher : Cambridge University Press
ISBN 13 : 9780521863209
Total Pages : 334 pages
Book Rating : 4.8/5 (632 download)

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Book Synopsis Nonlinear Analysis and Semilinear Elliptic Problems by : Antonio Ambrosetti

Download or read book Nonlinear Analysis and Semilinear Elliptic Problems written by Antonio Ambrosetti and published by Cambridge University Press. This book was released on 2007-01-04 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations. Suitable for mathematicians, physicists and engineers, topics covered range from elementary tools of bifurcation theory and analysis to critical point theory and elliptic partial differential equations. The book is amply illustrated with many exercises.