any two vertices which are endpoints of the matching edges (it is an induced subgraph). An induced matching can also be described as an independent set...
8 KB (809 words) - 10:19, 4 February 2025
lemma states that a matching M is maximum if and only if there is no augmenting path with respect to M. An induced matching is a matching that is the edge...
23 KB (2,938 words) - 21:25, 18 March 2025
sets are induced subgraphs that are respectively complete graphs or edgeless graphs. Induced matchings are induced subgraphs that are matchings. The neighborhood...
4 KB (509 words) - 00:27, 21 October 2024
Ruzsa–Szemerédi problem (category Matching (graph theory))
bipartite graph whose edges can be partitioned into a linear number of induced matchings, or the maximum number of triples one can choose from n {\displaystyle...
17 KB (2,129 words) - 07:35, 24 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
locally linear graphs are the graphs in which every neighbourhood is an induced matching. The Johnson graphs are locally grid, meaning that each neighborhood...
10 KB (1,122 words) - 08:52, 18 August 2023
Independence complex (redirect from Matching complex)
The induced matching number of G, denoted μ ( G ) {\displaystyle \mu (G)} , is the largest cardinality of an induced matching in G - a matching that...
7 KB (1,059 words) - 05:46, 12 April 2025
disease would highly be likely to be induced. Overmatching thus causes statistical bias. For example, matching the control group by gestation length...
9 KB (969 words) - 13:24, 14 August 2024
maximal matching, independent set, maximum full-degree spanning tree, maximum induced at most d-degree subgraph, maximum internal spanning tree, induced matching...
11 KB (1,390 words) - 03:09, 18 March 2024
colors every induced subgraph. The perfectly orderable graphs are a subclass of the perfect graphs. 3. A perfect matching is a matching that saturates...
109 KB (16,011 words) - 18:32, 30 April 2025
In optics, an index-matching material is a substance, usually a liquid, cement (adhesive), or gel, which has an index of refraction that closely approximates...
7 KB (952 words) - 10:31, 28 May 2025
theoretical computer science, a maximum common induced subgraph of two graphs G and H is a graph that is an induced subgraph of both G and H, and that has as...
8 KB (951 words) - 13:35, 12 August 2024
L. Orlovich, Frank Werner, Igor E. Zverovich: Graphs with maximal induced matchings of the same size. Discret. Appl. Math. 216: 15-28 (2017) Philippe...
42 KB (4,439 words) - 16:08, 22 May 2025
Petersen's theorem (category Matching (graph theory))
graph induced by V − U with an odd number of vertices is at most the cardinality of U. Then by the Tutte theorem G contains a perfect matching. Let Gi...
13 KB (1,471 words) - 13:53, 26 May 2025
Regular expression (category Pattern matching)
to induce the regular expression 1⋅0* (1 followed by zero or more 0s). Comparison of regular expression engines Extended Backus–Naur form Matching wildcards...
97 KB (8,871 words) - 12:07, 26 May 2025
P.; Laekhanukit, B.; Nanongkai, D. (2013-10-01). "Independent Set, Induced Matching, and Pricing: Connections and Tight (Subexponential Time) Approximation...
21 KB (2,559 words) - 00:44, 20 June 2025
Balun (redirect from Matching transformer)
segment of the coil changes, the induced magnetic field collapses and the collapse of the magnetic field in the core induces an electric current in the entire...
18 KB (2,224 words) - 16:25, 11 May 2025
Apophenia (section Template matching)
of a tiger (template matching), recognizing that it's similar to a particular mental image one has of a tiger (prototype matching). This type of pattern...
14 KB (1,506 words) - 22:46, 19 June 2025
Subgraph isomorphism problem (redirect from Subgraph matching)
isomorphism may be solved in polynomial time. Sometimes the name subgraph matching is also used for the same problem. This name puts emphasis on finding such...
15 KB (1,856 words) - 21:47, 15 June 2025
Bipartite graph (section Matching)
algorithmic problems on matchings, including maximum matching (finding a matching that uses as many edges as possible), maximum weight matching, and stable marriage...
33 KB (4,086 words) - 21:34, 28 May 2025
Allen color 6m May 12, 1969 Magic Moments Unit 5; video [503] Let's Play: Matching Up Roach Van Allen color 6m May 9, 1969 Magic Moments Unit 5; video [504]...
336 KB (283 words) - 01:46, 12 March 2025
Kőnig's theorem (graph theory) (category Matching (graph theory))
fewer vertices. A matching in a graph is a set of edges no two of which share an endpoint, and a matching is maximum if no other matching has more edges...
24 KB (3,433 words) - 02:46, 12 December 2024
Nonlinear optics (redirect from Phase matching)
Energy and momentum are conserved in the optical field, making phase matching important and polarization-dependent. Parametric and "instantaneous" (i...
53 KB (6,736 words) - 21:42, 19 June 2025
disorders, including potentially life-threatening anaphylaxis, food protein-induced enterocolitis syndrome, and eosinophilic gastrointestinal diseases, and...
116 KB (204 words) - 02:37, 6 June 2025
Tutte theorem (category Matching (graph theory))
perfect matchings. It is a special case of the Tutte–Berge formula. The goal is to characterize all graphs that do not have a perfect matching. Start with...
11 KB (1,399 words) - 08:56, 15 April 2025
the prestigious upcoming All-Japan Tournament (an open weight tournament matching judokas of all weight classes against each other) and forgo going out with...
182 KB (324 words) - 09:08, 7 October 2024
Hall-type theorems for hypergraphs (redirect from Haxell's matching theorem)
guaranteeing that a bipartite graph (X + Y, E) admits a perfect matching, or - more generally - a matching that saturates all vertices of Y. The condition involves...
46 KB (6,498 words) - 00:43, 20 June 2025
Break-induced Telomere Synthesis (or BITS). Normally, homologous recombination allows broken DNA strands to be repaired by lining up with a matching sequence...
6 KB (728 words) - 16:34, 28 November 2024
lattice of stable matchings is a distributive lattice whose elements are stable matchings. For a given instance of the stable matching problem, this lattice...
26 KB (3,930 words) - 07:50, 19 January 2024
matching (also called: maximum priority matching) is a matching that maximizes the number of high-priority vertices that participate in the matching....
3 KB (404 words) - 01:45, 30 November 2023