combinatorial theorem
1Combinatorial design — theory is the part of combinatorial mathematics that deals with the existence and construction of systems of finite sets whose intersections have specified numerical properties. For instance, a balanced incomplete block design (usually called for …
2Combinatorial commutative algebra — is a relatively new, rapidly developing mathematical discipline. As the name implies, it lies at the intersection of two more established fields, commutative algebra and combinatorics, and frequently uses methods of one to address problems… …
3Combinatorial game theory — This article is about the theory of combinatorial games. For the theory that includes games of chance and games of imperfect knowledge, see Game theory. Mathematicians playing Konane at a Combinatorial game theory workshop (for technical content …
4Combinatorial topology — In mathematics, combinatorial topology was an older name for algebraic topology, dating from the time when topological invariants of spaces (for example the Betti numbers) were regarded as derived from combinatorial decompositions such as… …
5Combinatorial map — A combinatorial map is a combinatorial object modelling topological structures with subdivided objects. Historically, the concept was introduced informally by J. Edmonds for polyhedral surfaces [1] which are planar graphs. It was given its first… …
6Combinatorial proof — In mathematics, the term combinatorial proof is often used to mean either of two types of proof of an identity in enumerative combinatorics that either states that two sets of combinatorial configurations, depending on one or more parameters,… …
7Kruskal–Katona theorem — The Kruskal ndash;Katona theorem is a combinatorial theorem about uniform hypergraphs. It can be used to derive facts about abstract simplicial complexes. It is named for Joseph Kruskal and Gyula O. H. Katona.For an n element set X , define the… …
8Hales–Jewett theorem — In mathematics, the Hales–Jewett theorem is a fundamental combinatorial result of Ramsey theory, concerning the degree to which high dimensional objects must necessarily exhibit some combinatorial structure; it is impossible for such objects to… …
9Binomial theorem — The binomial coefficients appear as the entries of Pascal s triangle. In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the power… …
10Fundamental theorem of combinatorial enumeration — The fundamental theorem of combinatorial enumeration is a theorem in combinatorics that solves the enumeration problem of labelled and unlabelled combinatorial classes. The unlabelled case is based on the Pólya enumeration theorem.This theorem is …
