On The Foundations Of Combinatorial Theory Combinatorial Geometries

Author : Henry H. Crapo
Publisher : MIT Press (MA)
ISBN 13 :
Total Pages : 350 pages
Book Rating : 4.74/5 ( download)

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Download or read book On the Foundations of Combinatorial Theory: Combinatorial Geometries written by Henry H. Crapo and published by MIT Press (MA). This book was released on 1970 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: A major aim of this book is to present the theory of combinatorial geometry in a form accessible to mathematicians working in disparate subjects.

Author : Gian Carlo Rota
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.15/5 ( download)

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Download or read book On the Foundation of Combinatorial Theory written by Gian Carlo Rota and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Neil White
Publisher : Cambridge University Press
ISBN 13 : 9780521333399
Total Pages : 230 pages
Book Rating : 4.93/5 ( download)

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Download or read book Combinatorial Geometries written by Neil White and published by Cambridge University Press. This book was released on 1987-09-24 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a continuation of Theory of Matroids (also edited by Neil White), and again consists of a series of related surveys that have been contributed by authorities in the area. The volume begins with three chapters on coordinatisations, followed by one on matching theory. The next two deal with transversal and simplicial matroids. These are followed by studies of the important matroid invariants. The final chapter deals with matroids in combinatorial optimisation, a topic of much current interest. The whole volume has been carefully edited to ensure a uniform style and notation throughout, and to make a work that can be used as a reference or as an introductory textbook for graduate students or non-specialists.

Author : Marshall Hall
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.17/5 ( download)

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Download or read book Combinatorics: Graph theory; foundations, partitions and combinatorial geometry written by Marshall Hall and published by . This book was released on 1974 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Jagdish N. Srivastava
Publisher : Elsevier
ISBN 13 : 1483278174
Total Pages : 476 pages
Book Rating : 4.79/5 ( download)

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Download or read book A Survey of Combinatorial Theory written by Jagdish N. Srivastava and published by Elsevier. This book was released on 2014-05-12 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Survey of Combinatorial Theory covers the papers presented at the International Symposium on Combinatorial Mathematics and its Applications, held at Colorado State University (CSU), Fort Collins, Colorado on September 9-11, 1971. The book focuses on the principles, operations, and approaches involved in combinatorial theory, including the Bose-Nelson sorting problem, Golay code, and Galois geometries. The selection first ponders on classical and modern topics in finite geometrical structures; balanced hypergraphs and applications to graph theory; and strongly regular graph derived from the perfect ternary Golay code. Discussions focus on perfect ternary Golay code, finite projective and affine planes, Galois geometries, and other geometric structures. The book then examines the characterization problems of combinatorial graph theory, line-minimal graphs with cyclic group, circle geometry in higher dimensions, and Cayley diagrams and regular complex polygons. The text discusses combinatorial problems in finite Abelian groups, dissection graphs of planar point sets, combinatorial problems and results in fractional replication, Bose-Nelson sorting problem, and some combinatorial aspects of coding theory. The text also reviews the enumerative theory of planar maps, balanced arrays and orthogonal arrays, existence of resolvable block designs, and combinatorial problems in communication networks. The selection is a valuable source of information for mathematicians and researchers interested in the combinatorial theory.

Author : M. Hall Jr.
Publisher : Springer Science & Business Media
ISBN 13 : 940101826X
Total Pages : 480 pages
Book Rating : 4.65/5 ( download)

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Download or read book Combinatorics written by M. Hall Jr. and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics has come of age. It had its beginnings in a number of puzzles which have still not lost their charm. Among these are EULER'S problem of the 36 officers and the KONIGSBERG bridge problem, BACHET's problem of the weights, and the Reverend T.P. KIRKMAN'S problem of the schoolgirls. Many of the topics treated in ROUSE BALL'S Recreational Mathe matics belong to combinatorial theory. All of this has now changed. The solution of the puzzles has led to a large and sophisticated theory with many complex ramifications. And it seems probable that the four color problem will only be solved in terms of as yet undiscovered deep results in graph theory. Combinatorics and the theory of numbers have much in common. In both theories there are many prob lems which are easy to state in terms understandable by the layman, but whose solution depends on complicated and abstruse methods. And there are now interconnections between these theories in terms of which each enriches the other. Combinatorics includes a diversity of topics which do however have interrelations in superficially unexpected ways. The instructional lectures included in these proceedings have been divided into six major areas: 1. Theory of designs; 2. Graph theory; 3. Combinatorial group theory; 4. Finite geometry; 5. Foundations, partitions and combinatorial geometry; 6. Coding theory. They are designed to give an overview of the classical foundations of the subjects treated and also some indication of the present frontiers of research.

Author : Massachusetts Institute of Technology
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.55/5 ( download)

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Download or read book On the Foundations of Combinatorial Theory. VIII. Finite Operator Calculus, by Gian-Carlo Rota with D. Kahaner and A. Odlyzko written by Massachusetts Institute of Technology and published by . This book was released on 19?? with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Joseph P. S. Kung
Publisher : Cambridge University Press
ISBN 13 : 052188389X
Total Pages : 409 pages
Book Rating : 4.94/5 ( download)

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Download or read book Combinatorics: The Rota Way written by Joseph P. S. Kung and published by Cambridge University Press. This book was released on 2009-02-09 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compiled and edited by two of Gian-Carlo Rota's students, this book is based on notes from his influential combinatorics courses.

Author : János Pach
Publisher : American Mathematical Soc.
ISBN 13 : 0821846914
Total Pages : 251 pages
Book Rating : 4.19/5 ( download)

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Download or read book Combinatorial Geometry and Its Algorithmic Applications written by János Pach and published by American Mathematical Soc.. This book was released on 2009 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on a lecture series given by the authors at a satellite meeting of the 2006 International Congress of Mathematicians and on many articles written by them and their collaborators, this volume provides a comprehensive up-to-date survey of several core areas of combinatorial geometry. It describes the beginnings of the subject, going back to the nineteenth century (if not to Euclid), and explains why counting incidences and estimating the combinatorial complexity of various arrangements of geometric objects became the theoretical backbone of computational geometry in the 1980s and 1990s. The combinatorial techniques outlined in this book have found applications in many areas of computer science from graph drawing through hidden surface removal and motion planning to frequency allocation in cellular networks. "Combinatorial Geometry and Its Algorithmic Applications" is intended as a source book for professional mathematicians and computer scientists as well as for graduate students interested in combinatorics and geometry. Most chapters start with an attractive, simply formulated, but often difficult and only partially answered mathematical question, and describes the most efficient techniques developed for its solution. The text includes many challenging open problems, figures, and an extensive bibliography."--BOOK JACKET.

Author : Edward A. Bender
Publisher : Courier Corporation
ISBN 13 : 0486151506
Total Pages : 789 pages
Book Rating : 4.02/5 ( download)

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Download or read book Foundations of Combinatorics with Applications written by Edward A. Bender and published by Courier Corporation. This book was released on 2013-01-18 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines a variety of applications relevant to computer science and mathematics, including induction and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises appear throughout the text, along with notes and references. The text concludes with solutions to odd-numbered exercises and to all appendix exercises.