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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Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the...
19 KB (2,304 words) - 19:59, 1 August 2024
discipline of topological combinatorics is the application of topological and algebro-topological methods to solving problems in combinatorics. The discipline of...
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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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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
Analytic combinatorics uses techniques from complex analysis to solve problems in enumerative combinatorics, specifically to find asymptotic estimates...
8 KB (1,135 words) - 09:31, 26 May 2025
In combinatorics, a k-ary necklace of length n is an equivalence class of n-character strings over an alphabet of size k, taking all rotations as equivalent...
8 KB (1,111 words) - 10:20, 30 March 2024
Combinatorics on words is a fairly new field of mathematics, branching from combinatorics, which focuses on the study of words and formal languages. The...
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Graphs and Combinatorics (ISSN 0911-0119, abbreviated Graphs Combin.) is a peer-reviewed academic journal in graph theory, combinatorics, and discrete...
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Algebraic combinatorics Analytic combinatorics Arithmetic combinatorics Combinatorics on words Combinatorial design theory Enumerative combinatorics Extremal...
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Combinatorial physics or physical combinatorics is the area of interaction between physics and combinatorics. "Combinatorial Physics is an emerging area...
8 KB (804 words) - 04:24, 18 December 2023
Enumerative combinatorics is an area of combinatorics that deals with the number of ways that certain patterns can be formed. Two examples of this type...
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Additive combinatorics is an area of combinatorics in mathematics. One major area of study in additive combinatorics are inverse problems: given the size...
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In mathematics, particularly in combinatorics, given a family of sets, here called a collection C, a transversal (also called a cross-section) is a set...
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partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, probability theory, compressed sensing and...
79 KB (6,678 words) - 19:36, 21 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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monomials is exactly the number of weak compositions of d. Stars and bars (combinatorics) Heubach, Silvia; Mansour, Toufik (2004). "Compositions of n with parts...
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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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The European Journal of Combinatorics is an international peer-reviewed scientific journal that specializes in combinatorics. The journal primarily publishes...
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Annals of Combinatorics is a quarterly peer-reviewed scientific journal covering research in combinatorics. It was established in 1997 by William Chen...
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Sawhney (Combinatorics, Massachusetts Institute of Technology), Cynthia Stoner (Combinatorics, Harvard University), Ashwin Sah (Combinatorics, Massachusetts...
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Discrete mathematics (section Combinatorics)
continuous mathematics. Combinatorics studies the ways in which discrete structures can be combined or arranged. Enumerative combinatorics concentrates on counting...
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Diophantine geometry (Arakelov theory, Hodge–Arakelov theory) Arithmetic combinatorics (additive number theory) Arithmetic geometry (anabelian geometry, p-adic...
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The European Prize in Combinatorics is a prize for research in combinatorics, a mathematical discipline, which is awarded biennially at Eurocomb, the European...
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discipline of combinatorics. The Stanton Medal honours significant lifetime contributions to promoting the discipline of combinatorics through advocacy...
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In combinatorics, the symbolic method is a technique for counting combinatorial objects. It uses the internal structure of the objects to derive formulas...
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he recommends the book to anyone "learning or working in combinatorics". Analytic Combinatorics won the Leroy P. Steele Prize for Mathematical Exposition...
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Julia Wolf is a British mathematician specialising in arithmetic combinatorics who was the 2016 winner of the Anne Bennett Prize of the London Mathematical...
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Extremal combinatorics is a field of combinatorics, which is itself a part of mathematics. Extremal combinatorics studies how large or how small a collection...
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Algorithms and Combinatorics (ISSN 0937-5511) is a book series in mathematics, and particularly in combinatorics and the design and analysis of algorithms...
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