- dominating set
-
A set of vertices of a graph, such that each vertex in that graph is either in that set or adjacent to some vertex in that set.See Also: domination number
Wikipedia foundation.
dominating set
Look at other dictionaries:
Dominating set — For Dominator in control flow graphs, see Dominator (graph theory). Dominating sets (red vertices). In graph theory, a dominating set for a graph G = (V, E) is a subset D of V such that every vertex not in D is joined to at… … Wikipedia
Dominating set problem — The dominating set problem is an NP complete problem in graph theory.DefinitionAn instance of the dominating set problem consists of: * a graph G with a set V of vertices and a set E of edges, and * a positive integer K smaller than or equal to… … Wikipedia
Edge dominating set — Examples of edge dominating sets. In graph theory, an 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 is also known… … Wikipedia
Connected dominating set — In graph theory, a connected dominated set and a maximum leaf spanning tree are two closely related structures defined on an undirected graph. Contents 1 Definitions 2 Complementarity 3 Algorithms 4 Applic … Wikipedia
Smith set — In voting systems, the Smith set is the smallest non empty set of candidates in a particular election such that each member beats every other candidate outside the set in a pairwise election. The Smith set provides one standard of optimal choice… … Wikipedia
Maximal independent set — This article is about the combinatorial aspects of maximal independent sets of vertices in a graph. For other aspects of independent vertex sets in graph theory, see Independent set (graph theory). For other kinds of independent sets, see… … Wikipedia
Dominance-based Rough Set Approach — (DRSA) is an extension of rough set theory for Multi Criteria Decision Analysis (MCDA), introduced by Greco, Matarazzo and Słowiński Greco, S., Matarazzo, B., Słowiński, R.: Rough sets theory for multicriteria decision analysis. European Journal… … Wikipedia
Dominance-based rough set approach — (DRSA) is an extension of rough set theory for multi criteria decision analysis (MCDA), introduced by Greco, Matarazzo and Słowiński. [1][2][3] The main change comparing to the classical rough sets is the substitution of the indiscernibility… … Wikipedia
Independent set (graph theory) — The nine blue vertices form a maximum independent set for the Generalized Petersen graph GP(12,4). In graph theory, an independent set or stable set is a set of vertices in a graph, no two of which are adjacent. That is, it is a set I of vertices … Wikipedia
Claw-free graph — A claw In graph theory, an area of mathematics, a claw free graph is a graph that does not have a claw as an induced subgraph. A claw is another name for the complete bipartite graph K1,3 (that is, a star graph with three edges, three leaves, and … Wikipedia
