Author: A. Barlotti
Publisher: Elsevier
ISBN: 0080871747
Category : Mathematics
Languages : en
Pages : 303

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Combinatorial and Geometric Structures and Their Applications

Author: Centro interuniversitario per la ricerca matematica (Università degli studi di Trento)
Publisher:
ISBN:
Category :
Languages : en
Pages : 292

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Author: Adriano Barlotti
Publisher:
ISBN:
Category :
Languages : en
Pages : 292

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Author: János Pach
Publisher: American Mathematical Soc.
ISBN: 0821846914
Category : Mathematics
Languages : en
Pages : 251

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Book Description
"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: Ezra Miller
Publisher: American Mathematical Soc.
ISBN: 0821837362
Category : Combinatorial analysis
Languages : en
Pages : 705

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Book Description
Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. This text is a compilation of expository articles at the interface between combinatorics and geometry.

Author: Jacob E. Goodman
Publisher: Cambridge University Press
ISBN: 9780521848626
Category : Computers
Languages : en
Pages : 640

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Book Description
This 2005 book deals with interest topics in Discrete and Algorithmic aspects of Geometry.

Author: Herbert Edelsbrunner
Publisher: Springer Science & Business Media
ISBN: 3642615686
Category : Computers
Languages : en
Pages : 423

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Book Description
Computational geometry as an area of research in its own right emerged in the early seventies of this century. Right from the beginning, it was obvious that strong connections of various kinds exist to questions studied in the considerably older field of combinatorial geometry. For example, the combinatorial structure of a geometric problem usually decides which algorithmic method solves the problem most efficiently. Furthermore, the analysis of an algorithm often requires a great deal of combinatorial knowledge. As it turns out, however, the connection between the two research areas commonly referred to as computa tional geometry and combinatorial geometry is not as lop-sided as it appears. Indeed, the interest in computational issues in geometry gives a new and con structive direction to the combinatorial study of geometry. It is the intention of this book to demonstrate that computational and com binatorial investigations in geometry are doomed to profit from each other. To reach this goal, I designed this book to consist of three parts, acorn binatorial part, a computational part, and one that presents applications of the results of the first two parts. The choice of the topics covered in this book was guided by my attempt to describe the most fundamental algorithms in computational geometry that have an interesting combinatorial structure. In this early stage geometric transforms played an important role as they reveal connections between seemingly unrelated problems and thus help to structure the field.

Author: R. Guy
Publisher:
ISBN: 9780677138909
Category : Combinatorial analysis
Languages : en
Pages : 508

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Author: D.J. Collins
Publisher: Springer Science & Business Media
ISBN: 3642580130
Category : Mathematics
Languages : en
Pages : 248

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Book Description
From the reviews: "... The book under review consists of two monographs on geometric aspects of group theory ... Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ..." Bulletin of the London Mathematical Society, 1996

Author: Richard K. Guy
Publisher:
ISBN:
Category : Combinatorial analysis
Languages : en
Pages : 536

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Book Description