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Efficient dominating set

In graph theory, an efficient dominating set (also called an e.d. set or independent perfect dominating set) is a dominating set with the additional property that every vertex in the graph is dominated by exactly one vertex in the set.

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Efficient dominating set

Top relations

related to history · 10
Efficient dominating set → Bange, Barkauskas, Biggs's, Efficient, I/O, Later, Norman Biggs, Slater, The, When
related to Related problems · 6
Efficient dominating set → An, EED, Formally, The, The EED, Unlike
related to Examples · 3
Efficient dominating set → Sierpiński, The, These
related to Definition · 2
Efficient dominating set → An, More
is a · 1
Efficient dominating set → variant where domination is restricted to neighbors of equal or higher degree

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Important terminology

dominating efficient set displaystyle graph graphs every vertex sets one problem exactly domination concept perfect circulant distance restricted np-complete applications

Entity relationships Subject–Predicate–Object triples

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SubjectPredicateObjectConfidenceSrc
Efficient dominating setis avariant where domination is restricted to neighbors of equal or higher degree0.90text
Efficient dominating setrelated to DefinitionAn0.60section
Efficient dominating setrelated to DefinitionMore0.60section
Efficient dominating setrelated to ExamplesSierpiński0.60section
Efficient dominating setrelated to ExamplesThese0.60section
Efficient dominating setrelated to ExamplesThe0.60section
Efficient dominating setrelated to historyThe0.60section
Efficient dominating setrelated to historyNorman Biggs0.60section
Efficient dominating setrelated to historyLater0.60section
Efficient dominating setrelated to historyBiggs's0.60section
Efficient dominating setrelated to historyBange0.60section
Efficient dominating setrelated to historyBarkauskas0.60section

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    Efficient dominating set

    Nodes41
    Edges40
    Triples22
    Avg. degree1.95
    Density0.04878
    Components1
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