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Keyword

polytopes

Description: Polytopes are geometric objects in any number of dimensions bounded by flat faces, generalizing polygons and polyhedra.
Wikidata ID: wiki/Q747980
OpenAlex ID: keywords/polytopes
A new polynomial-time algorithm for linear programming
1984 · N. Karmarkar · COMBINATORICA · 4,831
Three-dimensional alpha shapes
1994 · Herbert Edelsbrunner, Ernst P. Mücke · ACM Transactions on Graphics · 2,484
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A fast procedure for computing the distance between complex objects in three-dimensional space
1988 · E.G. Gilbert, D.W. Johnson, et al. · IEEE Journal on Robotics and Automation · 1,512
A new polynomial-time algorithm for linear programming
1984 · N. Karmarkar · 1,082
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Toric Varieties
2011 · David Cox, John Little, et al. · Graduate studies in mathematics · 894
On certain polytopes associated with graphs
1975 · V Chvátal · Journal of Combinatorial Theory Series B · 614
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Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
1972 · M. Hochster · Annals of Mathematics · 509
Expressing combinatorial optimization problems by Linear Programs
1991 · Mihalis Yannakakis · Journal of Computer and System Sciences · 501
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Counting faces of randomly projected polytopes when the projection radically lowers dimension
2008 · David Donoho, Jared Tanner · Journal of the American Mathematical Society · 438
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Tight Mixed Integer Linear Programming Formulations for the Unit Commitment Problem
2011 · James Ostrowski, Miguel F. Anjos, et al. · IEEE Transactions on Power Systems · 425
Torus Actions and Their Applications in Topology and Combinatorics
2002 · Victor Buchstaber, Taras Panov · University lecture series · 417
A Geometric Approach to Aggregate Flexibility Modeling of Thermostatically Controlled Loads
2017 · Lin Zhao, Wei Zhang, et al. · IEEE Transactions on Power Systems · 358
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Combinatorial Commutative Algebra
2005 · Irena Peeva, Volkmar Welker · Oberwolfach Reports · 345
isl: An Integer Set Library for the Polyhedral Model
2010 · Sven Verdoolaege · Lecture notes in computer science · 338
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Convex Sets and Their Applications
1982 · Steven R. Lay · Medical Entomology and Zoology · 334
Scattering Amplitudes in Gauge Theory and Gravity
2015 · Henriette Elvang, Yu-tin Huang · Cambridge University Press eBooks · 310
Faces of generalized permutohedra
2008 · Alex Postnikov, Victor Reiner, et al. · Documenta Mathematica · 309
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Computing the continuous discretely: integer-point enumeration in polyhedra
2007 · Choice Reviews Online · 294
Polytopes, Rings, and K-Theory
2009 · Joseph Gubeladze, Winfried Bruns · Springer monographs in mathematics · 269
A state bounding observer based on zonotopes
2003 · C. Combastel · European Control Conference (ECC) · 256
The partition problem
1993 · Sunil Chopra, M. R. Rao · Mathematical Programming · 244
Combinatorial and Computational Geometry
2005 · Jacob E. Goodman, Pankaj K. Agarwal, et al. · Cambridge University Press eBooks · 231
Convexity
1994 · Roger Webster · 230
Complete Moduli in the Presence of Semiabelian Group Action
2002 · Valery Alexeev · Annals of Mathematics · 213
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The logarithmic Minkowski problem for polytopes
2014 · Guangxian Zhu · Advances in Mathematics · 207
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Works count: 5,262
Citation count: 60,050
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