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Sunday, November 8, 2020 | History

1 edition of Information Theory, Combinatorics, and Search Theory found in the catalog.

Information Theory, Combinatorics, and Search Theory

In Memory of Rudolf Ahlswede

by Harout Aydinian

  • 270 Want to read
  • 27 Currently reading

Published by Springer Berlin Heidelberg, Imprint: Springer in Berlin, Heidelberg .
Written in English

  • Computational complexity,
  • Discrete Mathematics in Computer Science,
  • Algorithm Analysis and Problem Complexity,
  • Coding theory,
  • Computer science,
  • Coding and Information Theory,
  • Combinatorial analysis,
  • Computer software

  • About the Edition

    This volume is dedicated to the memory of Rudolf Ahlswede, who passed away in December 2010. The Festschrift contains 36 thoroughly refereed research papers from a memorial symposium, which took place in July 2011. The four macro-topics of this workshop: theory of games and strategic planning; combinatorial group testing and database mining; computational biology and string matching; information coding and spreading and patrolling on networks; provide a comprehensive picture of the vision Rudolf Ahlswede put forward of a broad and systematic theory of search.

    Edition Notes

    Statementedited by Harout Aydinian, Ferdinando Cicalese, Christian Deppe
    SeriesLecture Notes in Computer Science -- 7777
    ContributionsCicalese, Ferdinando, Deppe, Christian, SpringerLink (Online service)
    LC ClassificationsQA268
    The Physical Object
    Format[electronic resource] :
    PaginationXL, 773 p. 58 illus.
    Number of Pages773
    ID Numbers
    Open LibraryOL27045572M
    ISBN 109783642368998

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Information Theory, Combinatorics, and Search Theory by Harout Aydinian Download PDF EPUB FB2

The four macro-topics of this workshop: theory of games and strategic planning; combinatorial group testing and database mining; computational biology and string matching; information coding and spreading and patrolling on networks; provide a comprehensive picture of the vision Rudolf Ahlswede put forward of a broad and systematic theory of search.

This book goes Weaver, in the book form of Shannon's paper where Weaver was tapped to write a mostly prose explanation. The theory is both simple and complex. A triumph that enabled the information revolution. If you want to understand this critical "theory." Read this book, or mine.

Which is titled "Information Theory. Another way of Cited by:   With its wide range of applications, the book will interest researchers and students in combinatorics, additive number theory, special functions, statistical mechanics, and computer algebra.

It is understandable to even a beginning graduate student in mathematics who has a background in advanced calculus and some mathematical maturity.

Search within book. Front Matter. Pages i-xvi. PDF. Preliminary. Front Matter. Pages PDF. The Setting. Lorenz J.

Halbeisen. Pages First-Order Logic in a Nutshell. Lorenz J. Halbeisen. Pages Axioms of Set Theory. Lorenz J. Halbeisen. Pages Topics in Combinatorial Set Theory. The fusion between graph theory and combinatorial optimization has led to theoretically profound and practically useful algorithms, yet there is no book that currently covers both areas together.

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms is the first to present a unified, comprehensive treatment of both graph theory and combinatorial optimization. Book Description. Combinatorics and Number Theory of Counting Sequences is an introduction to the theory of finite set partitions and to the enumeration of cycle decompositions of permutations.

The presentation prioritizes elementary enumerative proofs. Search within book. Front Matter. Pages N2-VII. PDF. Diperfect Graphs. Claude Berge. Pages Some new problems and results in Graph Theory and other branches of Combinatorial Mathematics.

Paul Erdös. Pages A form invariant multivariable polynomial representation of. The goal of this monograph is to give an accessible introduction to nonstandard methods and their applications, with an emphasis on combinatorics and Ramsey theory.

It. Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics. This book, which stems from many years' experience of teaching, invites students into the subject and prepares them for more advanced texts.

It is suitable as a class text or for individual study. Zeta and \(L\)-functions play a central role in number theory. They provide important information of arithmetic nature.

This book, which grew out of the author's teaching over several years, explores the interaction between number theory and combinatorics using zeta and \(L\)-functions as. This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field.

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Front Matter. Pages i-xi. PDF. Matrices and Graphs. Bolian Liu, Hong-Jian Lai. Pages Combinatorial Properties of. The unifying theme of the conference was combinatorial mathematics used in applications related to information security, cryptography, and coding theory. The book will be of interest to mathematicians, computer scientists and engineers working in the area of digital communications, as well as to researchers and graduate students who are willing.

This book collects the material delivered in the edition of the DocCourse in Combinatorics and Geometry which was devoted to the topic of additive combinatorics. The first two parts, which form the bulk of the volume, contain the two main advanced courses, Additive Group Theory and Non-Unique Factorizations by Alfred Geroldinger, and.

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The book is divided into five parts which are compared to a meal. The first part is called Ingredients and includes relevant background information about number theory, combinatorics, and group theory. The second part, Appetizers, introduces readers to the book’s main subject through samples.

The Fifty first Southeastern International Conference on Combinatorics, Graph Theory, and Computing (SEICCGTC) will be held Marchin the Student Union at Florida Atlantic University in Boca Raton, FL. The main campus is located three miles from the Atlantic Ocean, on an acre site in Boca Raton, south of Palm Beach and north of Fort Lauderdale and Miami.

Discrete Morse theory is a powerful tool combining ideas in both topology and combinatorics. Invented by Robin Forman in the mid s, discrete Morse theory is a combinatorial analogue of Marston Morse's classical Morse theory. Its applications are vast, including applications to topological data analysis, combinatorics, and computer science.

The author devotes an appendix to graph theory, which is good considering the enormous power of combinatorics to problems in graph theory and computational geometry.

Even though the discussion is brief, he does a good job of summarizing the main results, including a graph-theoretic version of Dilworth's theorem/5(9).

“This undergraduate textbook contains three chapters: Graph Theory, Combinatorics and Infinite Combinatorics and Graphs. There is a short section on References in each chapter introducing briefly other books dealing with the topics covered in the respective chapter.

Published bimonthly, Combinatorics, Probability & Computing is devoted to the three areas of combinatorics, probability theory and theoretical computer science. Topics covered include classical and algebraic graph theory, extremal set theory, matroid theory, probabilistic methods and random combinatorial structures; combinatorial probability and limit theorems for random combinatorial.

This book gives a first introduction of nonstandard methods and their applications. The presentation focuses on applications to combinatorics and Ramsey theory including both new nonstandard proofs of classical results, and recent developments initially obtained in the nonstandard setting.

Combinatorics is often described brie y as being about counting, and indeed counting is a large part of combinatorics. As the name suggests, however, it is broader than this: it is about combining things.

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This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory.

Editor-in-Chief: Zhi-Wei Sun ISSN: Frequency: 3 x per year Binding: Softcover Size: 7 x 10, Single column Journal of Combinatorics and Number Theory is devoted to publishing peer-refereed original research papers on topics in combinatorics (including graph theory) or number theory.

Papers involving both combinatorics and number theory are particularly welcome. The subject areas of. Book Description. Through three editions, Cryptography: combinatorics and coding theory, and applications of discrete mathematics in computer science.

Her research focuses on applications of combinatorics in information security and related areas. She is a Reader in Mathematics in the Department of Economics, Mathematics and Statistics. Combinatorics on words is a fairly new field of mathematics, branching from combinatorics, which focuses on the study of words and formal subject looks at letters or symbols, and the sequences they form.

Combinatorics on words affects various areas of mathematical study, including algebra and computer have been a wide range of contributions to the field. Primarily intended for research mathematicians and computer scientists, Combinatorics and Partially Ordered Sets: Dimension Theory also serves as a useful text for advanced students in either field.

William Trotter concentrates on combinatorial topics for finite partially ordered sets, and with dimension theory serving as a unifying theme, research on partially ordered sets or posets is linked. Combinatorics - Combinatorics - Graph theory: A graph G consists of a non-empty set of elements V(G) and a subset E(G) of the set of unordered pairs of distinct elements of V(G).

The elements of V(G), called vertices of G, may be represented by points. If (x, y) ∊ E(G), then the edge (x, y) may be represented by an arc joining x and y.

Then x and y are said to be adjacent, and the edge (x, y. Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics, from evolutionary biology to computer science, etc.

To fully understand the scope of combinatorics. This chapter introduces and elaborates on the fruitful interplay of coding theory and algebraic combinatorics, with most of the focus on the interaction of codes with combinatorial designs, finite geometries, simple groups, sphere packings, kissing numbers, lattices, and association schemes.

In particular, special interest is devoted to the relationship between codes and combinatorial designs Cited by: Combinatorics is often described briefly as being about counting, and indeed counting is a large part of theory is concerned with various types of networks, or really models of.

Permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets.

This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor. ‘This book can serve as an introduction to the subject; it will also be an extremely valuable reference book.’ Source: International Mathematical News ‘ the first complete presentation in English of the combinatorial theory of species.’ Source: L’Enseignment Mathématique ‘ a comprehensive account.’.

Contemporary combinatorics. In the 19th century, the subject of partially ordered sets and lattice theory originated in the work of Dedekind, Peirce, and Schröder. However, it was Garrett Birkhoff's seminal work in his book Lattice Theory published inand the. A Young tableau (pl.: tableaux) is a combinatorial object useful in representation theory and Schubert provides a convenient way to describe the group representations of the symmetric and general linear groups and to study their properties.

Young tableaux were introduced by Alfred Young, a mathematician at Cambridge University, in They were then applied to the study of the. “The fact that there has never been a comprehensive biography of Claude Shannon, “The Father of Information Theory,” has seemed a particularly egregious oversight as the world has hurtled further and further into the Information Age.

Jimmy Soni and Rob Goodman have finally rectified this injustice. This course serves as an introduction to major topics of modern enumerative and algebraic combinatorics with emphasis on partition identities, young tableaux bijections, spanning trees in graphs, and random generation of combinatorial objects.

There is some discussion of various applications and connections to other fields. Combinatorics is the study of finite or countable discrete structures and includes counting the structures of a given kind and size, deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria, finding "largest", "smallest", or "optimal" objects, and studying combinatorial structures arising in an.Tags: Jack E.

Graver, Mark E. Watkins, Springer-Verlag New York Inc. Combinatorics with Emphasis on the Theory of Graphs (ebook) ISBN Additional ISBNs:Author: Jack E. Graver, Mark E. Watkins Edition: Publisher: Springer-Verlag New York Inc.

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