In mathematics, a hypergraph is a generalization of a graph in which an edge can join any number of vertices. In contrast, in an ordinary graph, an edge... 47 KB (6,289 words) - 21:53, 8 March 2024 |
In graph theory, a matching in a hypergraph is a set of hyperedges, in which every two hyperedges are disjoint. It is an extension of the notion of matching... 19 KB (2,606 words) - 00:07, 30 April 2024 |
theory, a balanced hypergraph is a hypergraph that has several properties analogous to that of a bipartite graph. Balanced hypergraphs were introduced by... 10 KB (1,293 words) - 11:21, 18 August 2023 |
In graph theory, a vertex cover in a hypergraph is a set of vertices, such that every hyperedge of the hypergraph contains at least one vertex of that... 10 KB (1,320 words) - 20:13, 29 January 2024 |
model a hypergraph in which U is the set of vertices of the hypergraph, V is the set of hyperedges, and E contains an edge from a hypergraph vertex v... 33 KB (4,087 words) - 00:41, 6 April 2024 |
Altair Engineering (redirect from Altair HyperGraph) Altair Engineering Inc. is an American multinational information technology company headquartered in Troy, Michigan. It provides software and cloud solutions... 32 KB (2,132 words) - 19:09, 30 April 2024 |
In graph theory, the term bipartite hypergraph describes several related classes of hypergraphs, all of which are natural generalizations of a bipartite... 6 KB (852 words) - 19:56, 30 January 2024 |
In graph theory, particularly in the theory of hypergraphs, the line graph of a hypergraph H, denoted L(H), is the graph whose vertex set is the set of... 10 KB (1,201 words) - 17:30, 10 November 2023 |
Constraint graph (redirect from Constraint hypergraph) artificial intelligence and operations research, constraint graphs and hypergraphs are used to represent relations among constraints in a constraint satisfaction... 3 KB (315 words) - 14:10, 12 October 2023 |
theory, there are two related properties of a hypergraph that are called its "width". Given a hypergraph H = (V, E), we say that a set K of edges pins... 6 KB (843 words) - 23:45, 16 February 2023 |
hypergraph with n hyperedges, one may n-color the vertices such that each hyperedge has one vertex of each color. A simple hypergraph is a hypergraph... 13 KB (1,565 words) - 09:08, 6 May 2024 |
mathematics, the hypergraph regularity method is a powerful tool in extremal graph theory that refers to the combined application of the hypergraph regularity... 18 KB (3,386 words) - 02:20, 25 April 2024 |
Transversal (combinatorics) (redirect from Hypergraph transversal) application domains, with the input family of sets often being described as a hypergraph. A fundamental question in the study of SDR is whether or not an SDR exists... 12 KB (1,598 words) - 21:04, 23 October 2023 |
Incidence matrix (section Hypergraphs) contrast, a hypergraph can have multiple vertices assigned to one edge; thus, a general matrix of non-negative integers describes a hypergraph. The incidence... 9 KB (1,278 words) - 15:48, 12 September 2022 |
Clique complex (redirect from Conformal hypergraph) independence complexes, flag complexes, Whitney complexes and conformal hypergraphs are closely related mathematical objects in graph theory and geometric... 13 KB (1,643 words) - 07:20, 29 November 2023 |
Graph rewriting (redirect from Hypergraph grammar) mentioned in the above section on the algebraic approach to graph rewriting. Hypergraph grammars, including as more restrictive subclasses port graph grammars... 15 KB (1,768 words) - 13:41, 9 January 2024 |
theory, Hall-type theorems for hypergraphs are several generalizations of Hall's marriage theorem from graphs to hypergraphs. Such theorems were proved by... 46 KB (6,498 words) - 21:05, 5 January 2024 |
Truncated projective plane (redirect from Pasch hypergraph) plane (TPP), also known as a dual affine plane, is a special kind of a hypergraph or geometric configuration that is constructed in the following way. Take... 9 KB (1,223 words) - 22:28, 10 February 2022 |
Container method (redirect from Hypergraph container method) The method of (hypergraph) containers is a powerful tool that can help characterize the typical structure and/or answer extremal questions about families... 23 KB (4,335 words) - 02:27, 21 March 2024 |
to reduce and explain all the laws of physics within a paradigm of a hypergraph that is transformed by minimal rewriting rules that obey the Church-Rosser... 30 KB (2,602 words) - 20:25, 8 May 2024 |
graphs, simplicial complexes, cell complexes, combinatorial complexes and hypergraphs. Given a finite set S of abstract entities, a neighborhood function N... 18 KB (2,153 words) - 06:27, 27 April 2024 |
In the mathematical theory of hypergraphs, a hedgehog is a 3-uniform hypergraph defined from an integer parameter t {\displaystyle t} . It has t + ( t... 2 KB (204 words) - 23:39, 5 November 2020 |
magic constant of 27. Including the null-motif, there are 27 distinct hypergraph motifs. There are exactly twenty-seven straight lines on a smooth cubic... 18 KB (2,572 words) - 20:35, 2 April 2024 |
bicriteria-approximation or resource augmentation approaches. A common extension is to hypergraphs, where an edge can connect more than two vertices. A hyperedge is not... 28 KB (3,345 words) - 02:39, 20 February 2024 |
includes counting configurations of geometric shapes Graph theory and hypergraphs Coding theory, including error correcting codes and a part of cryptography... 168 KB (16,278 words) - 10:41, 12 May 2024 |
In mathematics, a packing in a hypergraph is a partition of the set of the hypergraph's edges into a number of disjoint subsets such that no pair of edges... 14 KB (2,452 words) - 20:06, 3 January 2024 |
graphs, lexicographic product of graphs, series–parallel graphs. In a hypergraph, an edge can join any positive number of vertices. An undirected graph... 28 KB (3,692 words) - 07:15, 7 May 2024 |
Property B (redirect from 2-colorable hypergraph) 1908. Property B is equivalent to 2-coloring the hypergraph described by the collection C. A hypergraph with property B is also called 2-colorable.: 468 ... 8 KB (1,123 words) - 05:49, 27 August 2022 |
is an algorithm that applies to hypergraphs. The algorithm takes as input a hypergraph and determines if the hypergraph is α-acyclic. If so, it computes... 4 KB (667 words) - 14:03, 22 February 2024 |