simple dominating set, a total dominating set may not exist. For example, a graph with one or more vertices and no edges does not have a total dominating set...
31 KB (4,082 words) - 23:42, 29 April 2025
edge dominating set for a graph G = (V, E) is a subset D ⊆ E such that every edge not in D is adjacent to at least one edge in D. An edge dominating set...
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Matching (graph theory) (redirect from Matched edge)
edges. A maximal matching with k edges is an edge dominating set with k edges. Conversely, if we are given a minimum edge dominating set with k edges...
23 KB (2,938 words) - 21:25, 18 March 2025
number: GT3 Dominating set, a.k.a. domination number: GT2 NP-complete special cases include the edge dominating set problem, i.e., the dominating set problem...
29 KB (2,746 words) - 00:31, 24 April 2025
all connected dominating sets of G. The connected domination number of G is the number of vertices in the minimum connected dominating set. Any spanning...
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set {a, c}. In this same graph, the maximal cliques are the sets {a, b} and {b, c}. A MIS is also a dominating set in the graph, and every dominating...
40 KB (5,451 words) - 22:03, 17 March 2025
doi:10.1016/0166-218X(94)00100-R. Yannakakis, M.; Gavril, F. (1980), "Edge dominating sets in graphs", SIAM Journal on Applied Mathematics, 38 (3): 364–372...
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"Cupach's WWE Smackdown Report 9/21: Alt. perspective review of Edge returning, Tag Champs dominating, Mike's Reax". Pro Wrestling Torch. Retrieved September...
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subgraph isomorphism, maximum independent set, minimum vertex cover, minimum dominating set, minimum edge dominating set, maximum triangle matching, and many...
7 KB (875 words) - 13:53, 8 October 2024
2022-04-17. Edge staff (April 2007). "Burnout Dominator (PS2)". Edge. No. 174. p. 83. Smith, Quintin (22 March 2007). "Burnout: Dominator (PS2)". Eurogamer...
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Glossary of graph theory (redirect from Edge (graph theory))
dominating sets. The domatic number of the graph is the maximum number of dominating sets in such a partition. dominating A dominating set is a set of...
109 KB (16,011 words) - 18:32, 30 April 2025
(1) a maximal independent set is a dominating set, and (2) the complement of a maximal independent set is also a dominating set if there are no isolated...
6 KB (973 words) - 21:59, 18 September 2021
contraction-bidimensional problems are dominating set, connected dominating set, max-leaf spanning tree, and edge dominating set. All algorithmic applications...
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selecting a set of vertices (the dominating set) in a graph such that all other vertices are adjacent to at least one vertex in the dominating set. The Dominating...
21 KB (3,011 words) - 15:31, 10 June 2025
another independent set is called maximal. Such sets are dominating sets. Every graph contains at most 3n/3 maximal independent sets, but many graphs have...
30 KB (3,561 words) - 16:58, 9 June 2025
chessboard. Dominating sets represent arrangements of queens where every square is attacked or occupied by a queen; five queens, but no fewer, can dominate the...
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Survivor: Edge of Extinction is the 38th season of the American competitive reality television series Survivor. Broadcast between February 20 and May 15...
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cover (sometimes node cover) of a graph is a set of vertices that includes at least one endpoint of every edge of the graph. In computer science, the problem...
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bishops that can form an independent dominating set. By contrast, a total domination set, which is a dominating set for which every square, including those...
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Flip-flop (electronics) (redirect from Edge-triggered flip-flop)
term flip-flop exclusively for edge-triggered storage elements and latches for level-triggered ones. The terms "edge-triggered", and "level-triggered"...
57 KB (7,211 words) - 23:43, 5 June 2025
The Edge of Love is a 2008 British biographical romantic drama film directed by John Maybury and starring Keira Knightley, Sienna Miller, Cillian Murphy...
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and states that, if γ(G) denotes the minimum number of vertices in a dominating set for the graph G, then γ ( G ◻ H ) ≥ γ ( G ) γ ( H ) . {\displaystyle...
9 KB (1,034 words) - 01:24, 19 March 2025
Claw-free graph (section Independent sets)
reaches a dominating set no larger than D {\displaystyle D} , so in particular when the starting set D {\displaystyle D} is a minimum dominating set this process...
29 KB (3,914 words) - 07:57, 25 November 2024
for sale from mid 1949, this design set the pattern for Norton twins for the next 30 years. The first Dominator, the Model 7, had a 497 cc parallel twin...
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forest the lowest-weight edge that will not form a cycle. The key steps of the algorithm are sorting and the use of a disjoint-set data structure to detect...
16 KB (1,829 words) - 21:02, 17 May 2025
Andreas; Leitert, Arne; Rautenbach, Dieter (2012), "Efficient dominating and edge dominating sets for graphs and hypergraphs", Algorithms and Computation:...
6 KB (622 words) - 03:38, 5 October 2024
Edge of Darkness is a British television drama serial produced by BBC Television in association with Lionheart Television International and originally...
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National Treasure: Edge of History is an American action-adventure television series developed for and globally released on the streaming service Disney+...
52 KB (2,891 words) - 02:08, 17 June 2025
The Edge of Night is an American mystery crime drama soap opera, created by Irving Vendig and produced by Procter & Gamble Productions. It debuted on CBS...
43 KB (6,096 words) - 20:41, 12 May 2025