Existence of Unimodular Triangulations–Positive Results PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Existence of Unimodular Triangulations–Positive Results PDF full book. Access full book title Existence of Unimodular Triangulations–Positive Results by Christian Haase. Download full books in PDF and EPUB format.
Author: Christian Haase
Publisher: American Mathematical Soc.
ISBN: 1470447169
Category : Education
Languages : en
Pages : 83
Get Book Here
Book Description
Unimodular triangulations of lattice polytopes arise in algebraic geometry, commutative algebra, integer programming and, of course, combinatorics. In this article, we review several classes of polytopes that do have unimodular triangulations and constructions that preserve their existence. We include, in particular, the first effective proof of the classical result by Knudsen-Mumford-Waterman stating that every lattice polytope has a dilation that admits a unimodular triangulation. Our proof yields an explicit (although doubly exponential) bound for the dilation factor.
Author: Christian Haase
Publisher: American Mathematical Soc.
ISBN: 1470447169
Category : Education
Languages : en
Pages : 83
Get Book Here
Book Description
Unimodular triangulations of lattice polytopes arise in algebraic geometry, commutative algebra, integer programming and, of course, combinatorics. In this article, we review several classes of polytopes that do have unimodular triangulations and constructions that preserve their existence. We include, in particular, the first effective proof of the classical result by Knudsen-Mumford-Waterman stating that every lattice polytope has a dilation that admits a unimodular triangulation. Our proof yields an explicit (although doubly exponential) bound for the dilation factor.
Author: Christian Haase
Publisher:
ISBN: 9781470465308
Category : Algebra, Abstract
Languages : en
Pages : 96
Get Book Here
Book Description
Author: Jesus De Loera
Publisher: Springer Science & Business Media
ISBN: 3642129714
Category : Mathematics
Languages : en
Pages : 547
Get Book Here
Book Description
Triangulations presents the first comprehensive treatment of the theory of secondary polytopes and related topics. The text discusses the geometric structure behind the algorithms and shows new emerging applications, including hundreds of illustrations, examples, and exercises.
Author: Franck Barthe
Publisher: American Mathematical Society
ISBN: 1470451433
Category : Mathematics
Languages : en
Pages : 90
Get Book Here
Book Description
View the abstract.
Author: Csaba D. Toth
Publisher: CRC Press
ISBN: 1498711421
Category : Computers
Languages : en
Pages : 1951
Get Book Here
Book Description
The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.
Author: Hélène Barcelo
Publisher: Springer
ISBN: 3030051412
Category : Mathematics
Languages : en
Pages : 364
Get Book Here
Book Description
This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools. Featured authors include prominent women in the field known for their exceptional writing of deep mathematics in an accessible manner. Each article in this volume was reviewed independently by two referees. The volume is suitable for graduate students and researchers interested in algebraic combinatorics.
Author: Mark Gross
Publisher: American Mathematical Society
ISBN: 1470452979
Category : Mathematics
Languages : en
Pages : 122
Get Book Here
Book Description
View the abstract.
Author: Miki Hirano
Publisher: American Mathematical Society
ISBN: 1470452774
Category : Mathematics
Languages : en
Pages : 136
Get Book Here
Book Description
View the abstract.
Author: William Gignac
Publisher: American Mathematical Society
ISBN: 1470449587
Category : Mathematics
Languages : en
Pages : 100
Get Book Here
Book Description
View the abstract.
Author: Gijs Heuts
Publisher: American Mathematical Society
ISBN: 1470448939
Category : Mathematics
Languages : en
Pages : 108
Get Book Here
Book Description
View the abstract.
