Combinatorics Of Finite Sets

Combinatorics Of Finite Sets Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Combinatorics Of Finite Sets book. This book definitely worth reading, it is an incredibly well-written.

Combinatorics of Finite Sets

Ian Anderson
Combinatorics of Finite Sets Book PDF

Author : Ian Anderson
Publisher : Courier Corporation
Page : 276 pages
File Size : 41,7 Mb
Release : 2002-01-01
Category : Mathematics
ISBN : 0486422577

Get Book

Combinatorics of Finite Sets by Ian Anderson Pdf

Among other subjects explored are the Clements-Lindström extension of the Kruskal-Katona theorem to multisets and the Greene-Kleitmen result concerning k-saturated chain partitions of general partially ordered sets. Includes exercises and solutions.

Combinatorics of Finite Sets

Ian Anderson
Combinatorics of Finite Sets Book PDF

Author : Ian Anderson
Publisher : Courier Corporation
Page : 276 pages
File Size : 54,6 Mb
Release : 2012-04-30
Category : Mathematics
ISBN : 9780486143712

Get Book

Combinatorics of Finite Sets by Ian Anderson Pdf

Coherent treatment provides comprehensive view of basic methods and results of the combinatorial study of finite set systems. The Clements-Lindstrom extension of the Kruskal-Katona theorem to multisets is explored, as is the Greene-Kleitman result concerning k-saturated chain partitions of general partially ordered sets. Connections with Dilworth's theorem, the marriage problem, and probability are also discussed. Each chapter ends with a helpful series of exercises and outline solutions appear at the end. "An excellent text for a topics course in discrete mathematics." — Bulletin of the American Mathematical Society.

Combinatorics of Finite Sets

Ian Anderson (Ph. D.)
Combinatorics of Finite Sets Book PDF

Author : Ian Anderson (Ph. D.)
Publisher : Oxford University Press, USA
Page : 280 pages
File Size : 47,6 Mb
Release : 1987
Category : Art
ISBN : UCAL:B5008749

Get Book

Combinatorics of Finite Sets by Ian Anderson (Ph. D.) Pdf

It is the aim of this book to provide a coherent and up-to-date account of the basic methods and results of the combinatorial study of finite set systems.

Hypergraphs

C. Berge
Hypergraphs Book PDF

Author : C. Berge
Publisher : Elsevier
Page : 267 pages
File Size : 52,5 Mb
Release : 1984-05-01
Category : Mathematics
ISBN : 9780080880235

Get Book

Hypergraphs by C. Berge Pdf

Graph Theory has proved to be an extremely useful tool for solving combinatorial problems in such diverse areas as Geometry, Algebra, Number Theory, Topology, Operations Research and Optimization. It is natural to attempt to generalise the concept of a graph, in order to attack additional combinatorial problems. The idea of looking at a family of sets from this standpoint took shape around 1960. In regarding each set as a ``generalised edge'' and in calling the family itself a ``hypergraph'', the initial idea was to try to extend certain classical results of Graph Theory such as the theorems of Turán and König. It was noticed that this generalisation often led to simplification; moreover, one single statement, sometimes remarkably simple, could unify several theorems on graphs. This book presents what seems to be the most significant work on hypergraphs.

Extremal Problems for Finite Sets

Peter Frankl,Norihide Tokushige
Extremal Problems for Finite Sets Book PDF

Author : Peter Frankl,Norihide Tokushige
Publisher : American Mathematical Soc.
Page : 234 pages
File Size : 55,6 Mb
Release : 2018-08-15
Category : Extremal problems
ISBN : 9781470440398

Get Book

Extremal Problems for Finite Sets by Peter Frankl,Norihide Tokushige Pdf

One of the great appeals of Extremal Set Theory as a subject is that the statements are easily accessible without a lot of mathematical background, yet the proofs and ideas have applications in a wide range of fields including combinatorics, number theory, and probability theory. Written by two of the leading researchers in the subject, this book is aimed at mathematically mature undergraduates, and highlights the elegance and power of this field of study. The first half of the book provides classic results with some new proofs including a complete proof of the Ahlswede-Khachatrian theorem as well as some recent progress on the Erdos matching conjecture. The second half presents some combinatorial structural results and linear algebra methods including the Deza-Erdos-Frankl theorem, application of Rodl's packing theorem, application of semidefinite programming, and very recent progress (obtained in 2016) on the Erdos-Szemeredi sunflower conjecture and capset problem. The book concludes with a collection of challenging open problems.

Combinatorics and Finite Fields

Kai-Uwe Schmidt,Arne Winterhof
Combinatorics and Finite Fields Book PDF

Author : Kai-Uwe Schmidt,Arne Winterhof
Publisher : Walter de Gruyter GmbH & Co KG
Page : 506 pages
File Size : 43,9 Mb
Release : 2019-07-08
Category : Mathematics
ISBN : 9783110641967

Get Book

Combinatorics and Finite Fields by Kai-Uwe Schmidt,Arne Winterhof Pdf

The series is devoted to the publication of high-level monographs, surveys and proceedings which cover the whole spectrum of computational and applied mathematics. The books of this series are addressed to both specialists and advanced students. Interested authors may submit book proposals to the Managing Editor or to any member of the Editorial Board. Managing EditorUlrich Langer, Johannes Kepler University Linz, Austria Editorial BoardHansj rg Albrecher, University of Lausanne, SwitzerlandRonald H. W. Hoppe, University of Houston, USAKarl Kunisch, RICAM, Linz, Austria; University of Graz, AustriaHarald Niederreiter, RICAM, Linz, AustriaChristian Schmeiser, University of Vienna, Austria

Extremal Finite Set Theory

Daniel Gerbner,Balazs Patkos
Extremal Finite Set Theory Book PDF

Author : Daniel Gerbner,Balazs Patkos
Publisher : CRC Press
Page : 269 pages
File Size : 41,5 Mb
Release : 2018-10-12
Category : Mathematics
ISBN : 9780429804113

Get Book

Extremal Finite Set Theory by Daniel Gerbner,Balazs Patkos Pdf

Extremal Finite Set Theory surveys old and new results in the area of extremal set system theory. It presents an overview of the main techniques and tools (shifting, the cycle method, profile polytopes, incidence matrices, flag algebras, etc.) used in the different subtopics. The book focuses on the cardinality of a family of sets satisfying certain combinatorial properties. It covers recent progress in the subject of set systems and extremal combinatorics. Intended for graduate students, instructors teaching extremal combinatorics and researchers, this book serves as a sound introduction to the theory of extremal set systems. In each of the topics covered, the text introduces the basic tools used in the literature. Every chapter provides detailed proofs of the most important results and some of the most recent ones, while the proofs of some other theorems are posted as exercises with hints. Features: Presents the most basic theorems on extremal set systems Includes many proof techniques Contains recent developments The book’s contents are well suited to form the syllabus for an introductory course About the Authors: Dániel Gerbner is a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences in Budapest, Hungary. He holds a Ph.D. from Eötvös Loránd University, Hungary and has contributed to numerous publications. His research interests are in extremal combinatorics and search theory. Balázs Patkós is also a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences. He holds a Ph.D. from Central European University, Budapest and has authored several research papers. His research interests are in extremal and probabilistic combinatorics.

Finite Geometry and Combinatorics

Albrecht Beutelspacher,Frank de Clerck
Finite Geometry and Combinatorics Book PDF

Author : Albrecht Beutelspacher,Frank de Clerck
Publisher : Cambridge University Press
Page : 428 pages
File Size : 52,9 Mb
Release : 1993
Category : Combinatorial analysis
ISBN : 0521448506

Get Book

Finite Geometry and Combinatorics by Albrecht Beutelspacher,Frank de Clerck Pdf

Included here are articles from many of the leading practitioners in the field, including, for the first time, several distinguished Russian mathematicians. Many of the papers contain important new results, and the growing use of computer algebra packages in this area is also demonstrated.

Classic Papers in Combinatorics

Ira Gessel,Gian-Carlo Rota
Classic Papers in Combinatorics Book PDF

Author : Ira Gessel,Gian-Carlo Rota
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 49,5 Mb
Release : 2010-10-06
Category : Mathematics
ISBN : 9780817648428

Get Book

Classic Papers in Combinatorics by Ira Gessel,Gian-Carlo Rota Pdf

This volume surveys the development of combinatorics since 1930 by presenting in chronological order the fundamental results of the subject proved in over five decades of original papers by: T. van Aardenne-Ehrenfest.- R.L. Brooks.- N.G. de Bruijn.- G.F. Clements.- H.H. Crapo.- R.P. Dilworth.- J. Edmonds.- P. Erdös.- L.R. Ford, Jr.- D.R. Fulkerson.- D. Gale.- L. Geissinger.- I.J. Good.- R.L. Graham.- A.W. Hales.- P. Hall.- P.R. Halmos.- R.I. Jewett.- I. Kaplansky.- P.W. Kasteleyn.- G. Katona.- D.J. Kleitman.- K. Leeb.- B. Lindström.- L. Lovász.- D. Lubell.- C. St. J.A. Nash-Williams.- G. Pólya.-R. Rado.- F.P. Ramsey.- G.-C. Rota.- B.L. Rothschild.- H.J. Ryser.- C. Schensted.- M.P. Schützenberger.- R.P. Stanley.- G. Szekeres.- W.T. Tutte.- H.E. Vaughan.- H. Whitney.

Combinatorics

Béla Bollobás
Combinatorics Book PDF

Author : Béla Bollobás
Publisher : Cambridge University Press
Page : 196 pages
File Size : 40,5 Mb
Release : 1986-07-31
Category : Mathematics
ISBN : 0521337038

Get Book

Combinatorics by Béla Bollobás Pdf

Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theory for infinite sets. The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures. It should be an ideal text for senior undergraduates and beginning graduates.

Advanced Combinatorics

Louis Comtet
Advanced Combinatorics Book PDF

Author : Louis Comtet
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401021968

Get Book

Advanced Combinatorics by Louis Comtet Pdf

Notwithstanding its title, the reader will not find in this book a systematic account of this huge subject. Certain classical aspects have been passed by, and the true title ought to be "Various questions of elementary combina torial analysis". For instance, we only touch upon the subject of graphs and configurations, but there exists a very extensive and good literature on this subject. For this we refer the reader to the bibliography at the end of the volume. The true beginnings of combinatorial analysis (also called combina tory analysis) coincide with the beginnings of probability theory in the 17th century. For about two centuries it vanished as an autonomous sub ject. But the advance of statistics, with an ever-increasing demand for configurations as well as the advent and development of computers, have, beyond doubt, contributed to reinstating this subject after such a long period of negligence. For a long time the aim of combinatorial analysis was to count the different ways of arranging objects under given circumstances. Hence, many of the traditional problems of analysis or geometry which are con cerned at a certain moment with finite structures, have a combinatorial character. Today, combinatorial analysis is also relevant to problems of existence, estimation and structuration, like all other parts of mathema tics, but exclusively forjinite sets.

Finite and Infinite Combinatorics in Sets and Logic

Norbert W Sauer,R.E. Woodrow,B. Sands
Finite and Infinite Combinatorics in Sets and Logic Book PDF

Author : Norbert W Sauer,R.E. Woodrow,B. Sands
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401120807

Get Book

Finite and Infinite Combinatorics in Sets and Logic by Norbert W Sauer,R.E. Woodrow,B. Sands Pdf

This volume contains the accounts of papers delivered at the Nato Advanced Study Institute on Finite and Infinite Combinatorics in Sets and Logic held at the Banff Centre, Alberta, Canada from April 21 to May 4, 1991. As the title suggests the meeting brought together workers interested in the interplay between finite and infinite combinatorics, set theory, graph theory and logic. It used to be that infinite set theory, finite combinatorics and logic could be viewed as quite separate and independent subjects. But more and more those disciplines grow together and become interdependent of each other with ever more problems and results appearing which concern all of those disciplines. I appreciate the financial support which was provided by the N. A. T. O. Advanced Study Institute programme, the Natural Sciences and Engineering Research Council of Canada and the Department of Mathematics and Statistics of the University of Calgary. 11l'te meeting on Finite and Infinite Combinatorics in Sets and Logic followed two other meetings on discrete mathematics held in Banff, the Symposium on Ordered Sets in 1981 and the Symposium on Graphs and Order in 1984. The growing inter-relation between the different areas in discrete mathematics is maybe best illustrated by the fact that many of the participants who were present at the previous meetings also attended this meeting on Finite and Infinite Combinatorics in Sets and Logic.

Combinatorics and Finite Geometry

Steven T. Dougherty
Combinatorics and Finite Geometry Book PDF

Author : Steven T. Dougherty
Publisher : Springer Nature
Page : 374 pages
File Size : 52,6 Mb
Release : 2020-10-30
Category : Mathematics
ISBN : 9783030563950

Get Book

Combinatorics and Finite Geometry by Steven T. Dougherty Pdf

This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely related to finite geometry, which is developed in parallel. Applications to probability theory, algebra, coding theory, cryptology and combinatorial game theory comprise the later chapters. Throughout the book, examples and exercises illustrate the material, and the interrelations between the various topics is emphasized. Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable. Essentially self-contained, there are very few prerequisites aside from some mathematical maturity, and the little algebra required is covered in the text. The book is also a valuable resource for anyone interested in discrete mathematics as it ties together a wide variety of topics.

Combinatorics of Finite Geometries

Lynn Margaret Batten
Combinatorics of Finite Geometries Book PDF

Author : Lynn Margaret Batten
Publisher : Cambridge University Press
Page : 211 pages
File Size : 52,6 Mb
Release : 1997-05-28
Category : Mathematics
ISBN : 9780521590143

Get Book

Combinatorics of Finite Geometries by Lynn Margaret Batten Pdf

Thoroughly revised and updated, with an entirely new chapter on blocking sets in linear spaces.

On Sets and Graphs

Eugenio G. Omodeo,Alberto Policriti,Alexandru I. Tomescu
On Sets and Graphs Book PDF

Author : Eugenio G. Omodeo,Alberto Policriti,Alexandru I. Tomescu
Publisher : Springer
Page : 275 pages
File Size : 48,5 Mb
Release : 2017-05-11
Category : Computers
ISBN : 9783319549811

Get Book

On Sets and Graphs by Eugenio G. Omodeo,Alberto Policriti,Alexandru I. Tomescu Pdf

This treatise presents an integrated perspective on the interplay of set theory and graph theory, providing an extensive selection of examples that highlight how methods from one theory can be used to better solve problems originated in the other. Features: explores the interrelationships between sets and graphs and their applications to finite combinatorics; introduces the fundamental graph-theoretical notions from the standpoint of both set theory and dyadic logic, and presents a discussion on set universes; explains how sets can conveniently model graphs, discussing set graphs and set-theoretic representations of claw-free graphs; investigates when it is convenient to represent sets by graphs, covering counting and encoding problems, the random generation of sets, and the analysis of infinite sets; presents excerpts of formal proofs concerning graphs, whose correctness was verified by means of an automated proof-assistant; contains numerous exercises, examples, definitions, problems and insight panels.