Global Methods For Combinatorial Isoperimetric Problems

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Global Methods For Combinatorial Isoperimetric Problems
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Author : L. H. Harper
language : en
Publisher: Cambridge University Press
Release Date : 2004-02-09
Global Methods For Combinatorial Isoperimetric Problems written by L. H. Harper and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-09 with Mathematics categories.
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
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Author : L. H. Harper
language : en
Publisher:
Release Date : 2006-05-16
Global Methods For Combinatorial Isoperimetric Problems written by L. H. Harper and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-16 with Mathematics categories.
This text explores global methods in combinatorial optimization and is suitable for graduate students and researchers.
Global Methods For Combinatorial Isoperimetric Problems
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Author : Lawrence Hueston Harper
language : en
Publisher:
Release Date : 2004
Global Methods For Combinatorial Isoperimetric Problems written by Lawrence Hueston Harper and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Calculus of variations categories.
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.
Computing And Combinatorics
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Author : Xiaodong Hu
language : en
Publisher: Springer
Release Date : 2008-06-19
Computing And Combinatorics written by Xiaodong Hu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-19 with Computers categories.
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.
Lectures On Advances In Combinatorics
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Author : Rudolf Ahlswede
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-05-17
Lectures On Advances In Combinatorics written by Rudolf Ahlswede and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-17 with Mathematics categories.
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].
Wisdom Of Solomon The The Genius And Legacy Of Solomon Golomb
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Author : Beatrice A Golomb
language : en
Publisher: World Scientific
Release Date : 2023-07-07
Wisdom Of Solomon The The Genius And Legacy Of Solomon Golomb written by Beatrice A Golomb and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-07 with Science categories.
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.
General Theory Of Information Transfer And Combinatorics
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Author : Rudolf Ahlswede
language : en
Publisher: Springer
Release Date : 2006-12-08
General Theory Of Information Transfer And Combinatorics written by Rudolf Ahlswede and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Computers categories.
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.
Recent Trends In Graph Theory Combinatorics
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Author : Dr. K.S. Lakshmi
language : en
Publisher: Allied Publishers
Release Date : 2017-04-07
Recent Trends In Graph Theory Combinatorics written by Dr. K.S. Lakshmi and has been published by Allied Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-07 with Mathematics categories.
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.
Graph Theoretic Problems And Their New Applications
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Author : Frank Werner
language : en
Publisher: MDPI
Release Date : 2020-05-27
Graph Theoretic Problems And Their New Applications written by Frank Werner and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-27 with Technology & Engineering categories.
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.
Pattern Recognition On Oriented Matroids
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Author : Andrey O. Matveev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-09-11
Pattern Recognition On Oriented Matroids written by Andrey O. Matveev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-11 with Mathematics categories.
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