Near Polygons

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Publisher : Springer Science & Business Media
ISBN 13 : 3764375531
Total Pages : 268 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Near Polygons by : Bart de Bruyn

Download or read book Near Polygons written by Bart de Bruyn and published by Springer Science & Business Media. This book was released on 2010-04-11 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to the Russian mathematician Albert Shiryaev on his 70th birthday, this is a collection of papers written by his former students, co-authors and colleagues. The book represents the state-of-the-art of a quickly maturing theory and will be an essential source for researchers in this area. The diversity of topics and comprehensive style of the papers make the book attractive for Ph.D. students and young researchers.

An Introduction to Incidence Geometry

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Publisher : Birkhäuser
ISBN 13 : 3319438115
Total Pages : 372 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis An Introduction to Incidence Geometry by : Bart De Bruyn

Download or read book An Introduction to Incidence Geometry written by Bart De Bruyn and published by Birkhäuser. This book was released on 2016-11-09 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the field of Incidence Geometry by discussing the basic families of point-line geometries and introducing some of the mathematical techniques that are essential for their study. The families of geometries covered in this book include among others the generalized polygons, near polygons, polar spaces, dual polar spaces and designs. Also the various relationships between these geometries are investigated. Ovals and ovoids of projective spaces are studied and some applications to particular geometries will be given. A separate chapter introduces the necessary mathematical tools and techniques from graph theory. This chapter itself can be regarded as a self-contained introduction to strongly regular and distance-regular graphs. This book is essentially self-contained, only assuming the knowledge of basic notions from (linear) algebra and projective and affine geometry. Almost all theorems are accompanied with proofs and a list of exercises with full solutions is given at the end of the book. This book is aimed at graduate students and researchers in the fields of combinatorics and incidence geometry.

Points and Lines

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Publisher : Springer Science & Business Media
ISBN 13 : 3642156274
Total Pages : 682 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Points and Lines by : Ernest E. Shult

Download or read book Points and Lines written by Ernest E. Shult and published by Springer Science & Business Media. This book was released on 2010-12-13 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type. Virtually all of these geometries (or homomorphic images of them) are characterized in this book by simple local axioms on points and lines. Simple point-line characterizations of Lie incidence geometries allow one to recognize Lie incidence geometries and their automorphism groups. These tools could be useful in shortening the enormously lengthy classification of finite simple groups. Similarly, recognizing ruled manifolds by axioms on light trajectories offers a way for a physicist to recognize the action of a Lie group in a context where it is not clear what Hamiltonians or Casimir operators are involved. The presentation is self-contained in the sense that proofs proceed step-by-step from elementary first principals without further appeal to outside results. Several chapters have new heretofore unpublished research results. On the other hand, certain groups of chapters would make good graduate courses. All but one chapter provide exercises for either use in such a course, or to elicit new research directions.

Groups of Exceptional Type, Coxeter Groups and Related Geometries

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Publisher : Springer Science & Business Media
ISBN 13 : 8132218140
Total Pages : 311 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Groups of Exceptional Type, Coxeter Groups and Related Geometries by : N.S. Narasimha Sastry

Download or read book Groups of Exceptional Type, Coxeter Groups and Related Geometries written by N.S. Narasimha Sastry and published by Springer Science & Business Media. This book was released on 2014-04-02 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with fundamental structural aspects of algebraic and simple groups, Coxeter groups and the related geometries and buildings. All contributing authors are very active researchers in the topics related to the theme of the book. Some of the articles provide the latest developments in the subject; some provide an overview of the current status of some important problems in this area; some survey an area highlighting the current developments; and some provide an exposition of an area to collect problems and conjectures. It is hoped that these articles would be helpful to a beginner to start independent research on any of these topics, as well as to an expert to know some of the latest developments or to consider some problems for investigation.

Generalized Polygons

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Publisher : Springer Science & Business Media
ISBN 13 : 3034802706
Total Pages : 510 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Generalized Polygons by : Hendrik Van Maldeghem

Download or read book Generalized Polygons written by Hendrik Van Maldeghem and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized Polygons is the first book to cover, in a coherent manner, the theory of polygons from scratch. In particular, it fills elementary gaps in the literature and gives an up-to-date account of current research in this area, including most proofs, which are often unified and streamlined in comparison to the versions generally known. Generalized Polygons will be welcomed both by the student seeking an introduction to the subject as well as the researcher who will value the work as a reference. In particular, it will be of great value for specialists working in the field of generalized polygons (which are, incidentally, the rank 2 Tits-buildings) or in fields directly related to Tits-buildings, incidence geometry and finite geometry. The approach taken in the book is of geometric nature, but algebraic results are included and proven (in a geometric way!). A noteworthy feature is that the book unifies and generalizes notions, definitions and results that exist for quadrangles, hexagons, octagons - in the literature very often considered separately - to polygons. Many alternative viewpoints given in the book heighten the sense of beauty of the subject and help to provide further insight into the matter.​

Geological Survey Professional Paper

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Publisher :
ISBN 13 :
Total Pages : 1404 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Geological Survey Professional Paper by :

Download or read book Geological Survey Professional Paper written by and published by . This book was released on 1961 with total page 1404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorial Design Theory

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Publisher : Elsevier
ISBN 13 : 9780080872605
Total Pages : 469 pages
Book Rating : 4.8/5 (726 download)

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Book Synopsis Combinatorial Design Theory by : C.J. Colbourn

Download or read book Combinatorial Design Theory written by C.J. Colbourn and published by Elsevier. This book was released on 2011-09-22 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial design theory is a vibrant area of combinatorics, connecting graph theory, number theory, geometry, and algebra with applications in experimental design, coding theory, and numerous applications in computer science. This volume is a collection of forty-one state-of-the-art research articles spanning all of combinatorial design theory. The articles develop new methods for the construction and analysis of designs and related combinatorial configurations; both new theoretical methods, and new computational tools and results, are presented. In particular, they extend the current state of knowledge on Steiner systems, Latin squares, one-factorizations, block designs, graph designs, packings and coverings, and develop recursive and direct constructions. The contributions form an overview of the current diversity of themes in design theory for those peripherally interested, while researchers in the field will find it to be a major collection of research advances. The volume is dedicated to Alex Rosa, who has played a major role in fostering and developing combinatorial design theory.

U.S. Geological Survey Professional Paper

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Publisher :
ISBN 13 :
Total Pages : 1400 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis U.S. Geological Survey Professional Paper by :

Download or read book U.S. Geological Survey Professional Paper written by and published by . This book was released on 1961 with total page 1400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Superior National Forest (N.F.), Gunflint Corridor Fuel Reduction, Cook County

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Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.3/5 (555 download)

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Book Synopsis Superior National Forest (N.F.), Gunflint Corridor Fuel Reduction, Cook County by :

Download or read book Superior National Forest (N.F.), Gunflint Corridor Fuel Reduction, Cook County written by and published by . This book was released on 2000 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

JCMCC

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Publisher :
ISBN 13 :
Total Pages : 920 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis JCMCC by :

Download or read book JCMCC written by and published by . This book was released on 2006 with total page 920 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimization in the Natural Sciences

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Publisher : Springer
ISBN 13 : 3319203525
Total Pages : 207 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Optimization in the Natural Sciences by : Alexander Plakhov

Download or read book Optimization in the Natural Sciences written by Alexander Plakhov and published by Springer. This book was released on 2015-06-10 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 30th Euro Mini-Conference, EmC-ONS 2014, held in Aveiro, Portugal, in February 2014. The 13 revised full papers presented were carefully reviewed and selected from 70 submissions. The papers are organized in topical sections on dynamical systems; optimization and applications; modeling and statistical techniques for data analysis.

Ars Combinatoria

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Publisher :
ISBN 13 :
Total Pages : 656 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Ars Combinatoria by :

Download or read book Ars Combinatoria written by and published by . This book was released on 2006 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Combinatorics

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Publisher : Elsevier
ISBN 13 : 008093384X
Total Pages : 2404 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Handbook of Combinatorics by : R.L. Graham

Download or read book Handbook of Combinatorics written by R.L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 2404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics

Handbook of Combinatorics Volume 1

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Publisher : Elsevier
ISBN 13 : 9780444823465
Total Pages : 1124 pages
Book Rating : 4.8/5 (234 download)

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Book Synopsis Handbook of Combinatorics Volume 1 by : Ronald L. Graham

Download or read book Handbook of Combinatorics Volume 1 written by Ronald L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.

Weakly Modular Graphs and Nonpositive Curvature

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Publisher : American Mathematical Soc.
ISBN 13 : 1470443627
Total Pages : 85 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Weakly Modular Graphs and Nonpositive Curvature by : Jérémie Chalopin

Download or read book Weakly Modular Graphs and Nonpositive Curvature written by Jérémie Chalopin and published by American Mathematical Soc.. This book was released on 2021-06-18 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: This article investigates structural, geometrical, and topological characteri-zations and properties of weakly modular graphs and of cell complexes derived from them. The unifying themes of our investigation are various “nonpositive cur-vature” and “local-to-global” properties and characterizations of weakly modular graphs and their subclasses. Weakly modular graphs have been introduced as a far-reaching common generalization of median graphs (and more generally, of mod-ular and orientable modular graphs), Helly graphs, bridged graphs, and dual polar graphs occurring under different disguises (1–skeletons, collinearity graphs, covering graphs, domains, etc.) in several seemingly-unrelated fields of mathematics: * Metric graph theory * Geometric group theory * Incidence geometries and buildings * Theoretical computer science and combinatorial optimization We give a local-to-global characterization of weakly modular graphs and their sub-classes in terms of simple connectedness of associated triangle-square complexes and specific local combinatorial conditions. In particular, we revisit characterizations of dual polar graphs by Cameron and by Brouwer-Cohen. We also show that (disk-)Helly graphs are precisely the clique-Helly graphs with simply connected clique complexes. With l1–embeddable weakly modular and sweakly modular graphs we associate high-dimensional cell complexes, having several strong topological and geometrical properties (contractibility and the CAT(0) property). Their cells have a specific structure: they are basis polyhedra of even 􀀁–matroids in the first case and orthoscheme complexes of gated dual polar subgraphs in the second case. We resolve some open problems concerning subclasses of weakly modular graphs: we prove a Brady-McCammond conjecture about CAT(0) metric on the orthoscheme.

Bulletin of the Belgian Mathematical Society, Simon Stevin

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Publisher :
ISBN 13 :
Total Pages : 494 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bulletin of the Belgian Mathematical Society, Simon Stevin by :

Download or read book Bulletin of the Belgian Mathematical Society, Simon Stevin written by and published by . This book was released on 2004 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Permafrost: North American Contribution [to The] Second International Conference

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Publisher : National Academies
ISBN 13 : 9780309021159
Total Pages : 808 pages
Book Rating : 4.0/5 (211 download)

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Book Synopsis Permafrost: North American Contribution [to The] Second International Conference by :

Download or read book Permafrost: North American Contribution [to The] Second International Conference written by and published by National Academies. This book was released on 1973-01-01 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: