finite hypergraph
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Line graph of a hypergraph — The line graph of a hypergraph is the graph whose vertex set is the set of the hyperedges of the hypergraph, with two edges adjacent when they have nonempty intersection. In other words, the line graph of a hypergraph is the intersection graph of … Wikipedia
Conformal hypergraph — In graph theory, a branch of mathematics, a hypergraph H is conformal if all the maximal cliques of the 2 section of H are edges of H . Here, the 2 section has an edge F if F contains two vertices and is contained in some edge of H , or if F… … Wikipedia
Ramsey's theorem — This article goes into technical details quite quickly. For a slightly gentler introduction see Ramsey theory. In combinatorics, Ramsey s theorem states that in any colouring of the edges of a sufficiently large complete graph (that is, a simple… … Wikipedia
Clique complex — “Whitney complex” redirects here. For the Mississippi sports facility, see Davey Whitney Complex. Clique complexes, flag complexes, and conformal hypergraphs are closely related mathematical objects in graph theory and geometric topology that… … Wikipedia
Glossary of graph theory — Graph theory is a growing area in mathematical research, and has a large specialized vocabulary. Some authors use the same word with different meanings. Some authors use different words to mean the same thing. This page attempts to keep up with… … Wikipedia
Incidence matrix — In mathematics, an incidence matrix is a matrix that shows the relationship between two classes of objects. If the first class is X and the second is Y, the matrix has one row for each element of X and one column for each element of Y. The entry… … Wikipedia
De Bruijn–Erdős theorem (graph theory) — This article is about coloring infinite graphs. For the number of lines determined by a finite set of points, see De Bruijn–Erdős theorem (incidence geometry). In graph theory, the De Bruijn–Erdős theorem, proved by Nicolaas Govert de Bruijn and… … Wikipedia
Sperner family — In combinatorics, a Sperner family (or Sperner system), named in honor of Emanuel Sperner, is a set system (F, E) in which no element is contained in another. Formally, If X, Y are in F and X ≠ Y, then X is not contained in Y and Y is not… … Wikipedia
List of terms relating to algorithms and data structures — The [http://www.nist.gov/dads/ NIST Dictionary of Algorithms and Data Structures] is a reference work maintained by the U.S. National Institute of Standards and Technology. It defines a large number of terms relating to algorithms and data… … Wikipedia
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