making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics is graph...
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Geometric combinatorics is a branch of mathematics in general and combinatorics in particular. It includes a number of subareas such as polyhedral combinatorics...
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Lectures in Geometric Combinatorics is a textbook on polyhedral combinatorics. It was written by Rekha R. Thomas, based on a course given by Thomas at...
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geometry. Geometric calculus extends the geometric algebra to include differentiation and integration. Geometric combinatorics a branch of combinatorics. It...
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partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, probability theory, compressed sensing and...
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combinatorics Geometric combinatorics Graph theory Infinitary combinatorics Matroid theory Order theory Partition theory Probabilistic combinatorics Topological...
9 KB (683 words) - 08:34, 14 July 2024
In mathematics, a geometric series is a series summing the terms of an infinite geometric sequence, in which the ratio of consecutive terms is constant...
34 KB (4,759 words) - 05:38, 19 May 2025
The mathematical field of combinatorics was studied to varying degrees in numerous ancient societies. Its study in Europe dates to the work of Leonardo...
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Discrete geometry (section Topological combinatorics)
a problem in combinatorics – when László Lovász proved the Kneser conjecture, thus beginning the new study of topological combinatorics. Lovász's proof...
15 KB (1,575 words) - 05:36, 16 October 2024
and Doctor of Medicine. He worked in the fields of formal language, combinatorics, and information theory. In addition to his formal results in mathematics...
14 KB (1,277 words) - 21:17, 19 June 2025
In mathematics, a geometric transformation is any bijection of a set to itself (or to another such set) with some salient geometrical underpinning, such...
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methods are applied to problems about graphs. This is in contrast to geometric, combinatoric, or algorithmic approaches. There are three main branches of algebraic...
7 KB (671 words) - 13:31, 13 February 2025
combinatorics" was introduced in the late 1970s. Through the early or mid-1990s, typical combinatorial objects of interest in algebraic combinatorics...
13 KB (1,289 words) - 14:02, 16 October 2024
arithmetic combinatorics is a field in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis. Arithmetic combinatorics is about...
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Sawhney (Combinatorics, Massachusetts Institute of Technology), Cynthia Stoner (Combinatorics, Harvard University), Ashwin Sah (Combinatorics, Massachusetts...
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areas of interest as "metric geometry, harmonic analysis, and geometric combinatorics." In 2012, Guth moved to MIT, where he is Claude Shannon Professor...
13 KB (1,117 words) - 16:35, 15 June 2025
In combinatorics, stars and bars (also called "sticks and stones", "balls and bars", and "dots and dividers") is a graphical aid for deriving certain...
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Professor in Mathematics. Her research concerns algebraic combinatorics and polyhedral combinatorics. Novik earned her Ph.D. from the Hebrew University of...
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Catalan number (category Enumerative combinatorics)
many counting problems in combinatorics whose solution is given by the Catalan numbers. The book Enumerative Combinatorics: Volume 2 by combinatorialist...
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Computational geometry (redirect from Geometric computation)
stated in terms of geometry. Some purely geometrical problems arise out of the study of computational geometric algorithms, and such problems are also considered...
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Polish-Canadian specialist in harmonic analysis, geometric measure theory, and additive combinatorics Carole Lacampagne, American mathematician known for...
196 KB (23,364 words) - 22:08, 8 July 2025
List of theorems (section Combinatorics)
(combinatorics) Alspach's theorem (graph theory) Aztec diamond theorem (combinatorics) BEST theorem (graph theory) Baranyai's theorem (combinatorics)...
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Rekha R. (2006), "Chapter 9. The Permutahedron", Lectures in Geometric Combinatorics, Student Mathematical Library: IAS/Park City Mathematical Subseries...
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associahedra", in Miller, Ezra; Reiner, Victor; Sturmfels, Bernd (eds.), Geometric combinatorics, IAS/Park City Math. Ser., vol. 13, Providence, R.I.: Amer. Math...
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Steinitz's theorem (category Polyhedral combinatorics)
In polyhedral combinatorics, a branch of mathematics, Steinitz's theorem is a characterization of the undirected graphs formed by the edges and vertices...
50 KB (5,973 words) - 06:51, 27 May 2025
Groupoid (section Groupoids with geometric structures)
Zivaljevic. "Groupoids in combinatorics—applications of a theory of local symmetries". In Algebraic and geometric combinatorics, volume 423 of Contemp....
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Hyperbolic group (category Combinatorics on words)
In group theory, more precisely in geometric group theory, a hyperbolic group, also known as a word hyperbolic group or Gromov hyperbolic group, is a...
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Gaetano Scorza, Lombardo-Radice contributed to finite geometry and geometric combinatorics together with Guido Zappa and Beniamino Segre, and wrote important...
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main research specialties are harmonic analysis, geometric measure theory, and additive combinatorics. Łaba earned a master's degree in 1986 from the University...
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