Triangulations [Documento electrónico] : structures for algorithms and applications / Jesús A. Loera, Jörg Rambau, Francisco Santos
Language: eng.Country: Germany.Publication: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Description: X, 539 p. : il.ISBN: 978-3-642-12971-1.Series: Algorithms and Computation in MathematicsSubject - Topical Name: Geometria combinatória | Geometria, Processamento de dados Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA167.SPR FCT 82408 (Browse shelf(Opens below)) | 1 | Available |
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QA167.SPR FCT 80836 How does one cut a triangle? | QA167.SPR FCT 80843 Geometric etudes in combinatorial mathematics | QA167.SPR FCT 81061 Magic graphs | QA167.SPR FCT 82408 Triangulations, structures for algorithms and applications | QA167.2.SPR FCT 82317 Finite geometric structures and their applications | QA169. FCT 95971 Algebraic operads | QA169. FCT 96471 Local homotopy theory |
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Triangulations appear everywhere, from volume computations and meshing to algebra and topology. This book studies the subdivisions and triangulations of polyhedral regions and point sets and presents the first comprehensive treatment of the theory of secondary polytopes and related topics. A central theme of the book is the use of the rich structure of the space of triangulations to solve computational problems (e.g., counting the number of triangulations or finding optimal triangulations with respect to various criteria), and to establish connections to applications in algebra, computer science, combinatorics, and optimization. With many examples and exercises, and with nearly five hundred illustrations, the book gently guides readers through the properties of the spaces of triangulations of "structured" (e.g., cubes, cyclic polytopes, lattice polytopes) and "pathological" (e.g., disconnected spaces of triangulations) situations using only elementary principles.
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