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...

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

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...

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

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...

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

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

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

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

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

and a completely algebraic description of the combinatorics of quantum field theory. An important example of applying combinatorics to physics is the...

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

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

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

In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations...

in 2005, given every three years to one or more researchers in algebra, combinatorics, or discrete mathematics. The first winner of the prize, in 2008...

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

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

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

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...

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

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

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

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

into irreducible representations. They play an important role in algebraic combinatorics and geometric complexity theory. They were introduced by Murnaghan...

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

The David P. Robbins Prize for papers reporting novel research in algebra, combinatorics, or discrete mathematics is awarded both by the American Mathematical...