Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various...

making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics is graph...

Algebraic combinatorics Analytic combinatorics Arithmetic combinatorics Combinatorics on words Combinatorial design theory Enumerative combinatorics Extremal...

Algebraic Combinatorics is a peer-reviewed diamond open access mathematical journal specializing in the field of algebraic combinatorics. Established in...

theorem (graph theory) Binomial theorem (algebra, combinatorics) Bondy's theorem (graph theory, combinatorics) Bondy–Chvátal theorem (graph theory) Brooks's...

application of methods from combinatorics to problems in abstract algebra. Algebraic computation An older name of computer algebra. Algebraic geometry a branch...

called reduced incidence algebras give a natural construction of various types of generating functions used in combinatorics and number theory. A locally...

Geometry Combinatorics Combinatorics Combinatorics Algebra Geometry 2020: Geometry Combinatorics Number theory Combinatorics Combinatorics Algebra 2019:...

Journal of Algebraic Combinatorics is a peer-reviewed scientific journal covering algebraic combinatorics. It was established in 1992 and is published...

geometric, combinatoric, or algorithmic approaches. There are three main branches of algebraic graph theory, involving the use of linear algebra, the use...

In algebraic combinatorics, the Kruskal–Katona theorem gives a complete characterization of the f-vectors of abstract simplicial complexes. It includes...

Power Series and Algebraic Combinatorics (FPSAC) is an annual academic conference in the areas of algebraic and enumerative combinatorics and their applications...

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...

field of algebraic topology. In 1978 the situation was reversed—methods from algebraic topology were used to solve a problem in combinatorics—when László...

Polynomial sequences are a topic of interest in enumerative combinatorics and algebraic combinatorics, as well as applied mathematics. Some polynomial sequences...

development has been greatly influenced by problems and ideas of algebraic number theory and algebraic geometry. Examples of commutative rings include every field...

Corrado de Concini, David Eisenbud, and Claudio Procesi. Algebraic combinatorics Polyhedral combinatorics Zero-divisor graph A foundational paper on Stanley–Reisner...

mathematics, association schemes belong to both algebra and combinatorics. In algebraic combinatorics, association schemes provide a unified approach...

In combinatorial mathematics, Stanley's reciprocity theorem, named after MIT mathematician Richard P. Stanley, states that a certain functional equation...

with features covering many aspects of mathematics, including algebra, combinatorics, graph theory, group theory, differentiable manifolds, numerical analysis...

prisoners problem is a mathematical problem in probability theory and combinatorics. In this problem, 100 numbered prisoners must find their own numbers...

(extremal combinatorics and combinatorial optimization), and finding algebraic structures these objects may have (algebraic combinatorics). Outline of...

analysis, partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, probability theory, compressed sensing...

Stanley–Reisner ring construction is a basic tool within algebraic combinatorics and combinatorial commutative algebra. Its properties were investigated by Richard...

empirical sciences. Algebra is the branch of mathematics that studies algebraic structures and the operations they use. An algebraic structure is a non-empty...

In algebra and in particular in algebraic combinatorics, a quasisymmetric function is any element in the ring of quasisymmetric functions which is in turn...

series. Gessel, Ira M.; Stanley, Richard P. (1995), "Algebraic enumeration", Handbook of combinatorics, Vol. 1, 2, Amsterdam: Elsevier, pp. 1021–1061, MR 1373677...

partitions of a positive integer n that plays an important role in algebraic combinatorics and representation theory, especially in the context of symmetric...

algebraic graph theory, entitled Algebraic Graph Theory, with Gordon Royle, His earlier textbook on algebraic combinatorics discussed distance-regular graphs...

Combinatorics: The Rota Way is a mathematics textbook on algebraic combinatorics, based on the lectures and lecture notes of Gian-Carlo Rota in his courses...