• In the mathematical discipline of graph theory, a matching or independent edge set in an undirected graph is a set of edges without common vertices. In...
    23 KB (2,938 words) - 21:25, 18 March 2025
  • In graph theory, a perfect matching in a graph is a matching that covers every vertex of the graph. More formally, given a graph G with edges E and vertices...
    7 KB (949 words) - 19:27, 6 February 2025
  • Thumbnail for Kőnig's theorem (graph theory)
    mathematical area of graph theory, Kőnig's theorem, proved by Dénes Kőnig (1931), describes an equivalence between the maximum matching problem and the minimum...
    24 KB (3,433 words) - 02:46, 12 December 2024
  • Graph matching is the problem of finding a similarity between graphs. Graphs are commonly used to encode structural information in many fields, including...
    4 KB (378 words) - 18:26, 3 December 2024
  • Thumbnail for Maximum weight matching
    computer science and graph theory, the maximum weight matching problem is the problem of finding, in a weighted graph, a matching in which the sum of weights...
    2 KB (232 words) - 17:14, 23 February 2025
  • Thumbnail for Matching in hypergraphs
    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...
    20 KB (2,606 words) - 01:16, 19 February 2025
  • Thumbnail for Maximum cardinality matching
    Maximum cardinality matching is a fundamental problem in graph theory. We are given a graph G, and the goal is to find a matching containing as many edges...
    10 KB (1,317 words) - 05:46, 3 February 2025
  • economics Nash bargaining game Matching (graph theory) Optimal matching Pissarides, Christopher (2000). Equilibrium Unemployment Theory (2nd ed.). MIT Press....
    7 KB (946 words) - 13:24, 13 July 2024
  • Berge's theorem (category Matching (graph theory))
    In graph theory, Berge's theorem states that a matching M in a graph G is maximum (contains the largest possible number of edges) if and only if there...
    6 KB (832 words) - 02:55, 14 May 2023
  • In graph theory, the blossom algorithm is an algorithm for constructing maximum matchings on graphs. The algorithm was developed by Jack Edmonds in 1961...
    17 KB (2,022 words) - 19:54, 12 October 2024
  • Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes...
    109 KB (16,011 words) - 18:32, 30 April 2025
  • Thumbnail for 3-dimensional matching
    mathematical discipline of graph theory, a 3-dimensional matching is a generalization of bipartite matching (also known as 2-dimensional matching) to 3-partite hypergraphs...
    13 KB (1,550 words) - 00:09, 5 December 2024
  • Thumbnail for Assignment problem
    Assignment problem (category Matching (graph theory))
    describing the problem using graph theory: The assignment problem consists of finding, in a weighted bipartite graph, a matching of maximum size, in which...
    20 KB (2,961 words) - 14:48, 30 April 2025
  • In graph theory, a fractional matching is a generalization of a matching in which, intuitively, each vertex may be broken into fractions that are matched...
    10 KB (1,424 words) - 03:14, 10 February 2025
  • Thumbnail for Factor-critical graph
    In graph theory, a mathematical discipline, a factor-critical graph (or hypomatchable graph) is a graph with an odd number of vertices in which deleting...
    16 KB (1,801 words) - 02:39, 3 March 2025
  • Thumbnail for Bipartite graph
    In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets...
    33 KB (4,093 words) - 00:09, 21 October 2024
  • topological graph theory is a branch of graph theory. It studies the embedding of graphs in surfaces, spatial embeddings of graphs, and graphs as topological...
    5 KB (565 words) - 01:25, 16 August 2024
  • Maximally matchable edge (category Matching (graph theory))
    In graph theory, a maximally matchable edge in a graph is an edge that is included in at least one maximum-cardinality matching in the graph. An alternative...
    7 KB (1,268 words) - 23:23, 22 April 2023
  • number of sets in the group. The graph theoretic formulation answers whether a finite bipartite graph has a perfect matching—that is, a way to match each...
    21 KB (3,274 words) - 23:56, 29 March 2025
  • Thumbnail for Tutte theorem
    Tutte theorem (category Matching (graph theory))
    discipline of graph theory, the Tutte theorem, named after William Thomas Tutte, is a characterization of finite undirected graphs with perfect matchings. It is...
    11 KB (1,399 words) - 08:56, 15 April 2025
  • Thumbnail for Petersen's theorem
    Petersen's theorem (category Matching (graph theory))
    Petersen's Theorem. Every cubic, bridgeless graph contains a perfect matching. In other words, if a graph has exactly three edges at each vertex, and...
    13 KB (1,471 words) - 13:57, 4 March 2025
  • Thumbnail for Pfaffian orientation
    Pfaffian orientation (category Matching (graph theory))
    In graph theory, a Pfaffian orientation of an undirected graph assigns a direction to each edge, so that certain cycles (the "even central cycles") have...
    7 KB (764 words) - 01:07, 9 February 2025
  • Hungarian algorithm (category Matching (graph theory))
    ISSN 0030-364X. Kőnig's theorem (graph theory) Konig's theorem Vertex cover minimum vertex cover Matching (graph theory) matching Bruff, Derek, The Assignment...
    41 KB (5,587 words) - 17:31, 2 May 2025
  • Thumbnail for Induced matching
    graph theory, an induced matching or strong matching is a subset of the edges of an undirected graph that do not share any vertices (it is a matching)...
    8 KB (809 words) - 10:19, 4 February 2025
  • Hopcroft–Karp algorithm (category Matching (graph theory))
    algorithm) is an algorithm that takes a bipartite graph as input and produces a maximum-cardinality matching as output — a set of as many edges as possible...
    25 KB (3,746 words) - 05:58, 14 January 2025
  • up matching in Wiktionary, the free dictionary. Matching may refer to: Matching, Essex, England Matching Green Matching Tye Matching (graph theory), in...
    2 KB (264 words) - 19:51, 24 May 2024
  • In graph theory, a branch of mathematics, a skew-symmetric graph is a directed graph that is isomorphic to its own transpose graph, the graph formed by...
    17 KB (2,318 words) - 08:39, 16 July 2024
  • Thumbnail for Gallai–Edmonds decomposition
    Gallai–Edmonds decomposition (category Matching (graph theory))
    In graph theory, the Gallai–Edmonds decomposition is a partition of the vertices of a graph into three subsets which provides information on the structure...
    9 KB (1,403 words) - 19:55, 12 October 2024
  • Bivariegated graph Cage (graph theory) Cayley graph Circle graph Clique graph Cograph Common graph Complement of a graph Complete graph Cubic graph Cycle graph De...
    7 KB (663 words) - 02:52, 24 September 2024
  • In graph theory, the matching polytope of a given graph is a geometric object representing the possible matchings in the graph. It is a convex polytope...
    11 KB (1,552 words) - 19:06, 26 February 2025