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Edge dominating set

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 as a line dominating set. Figures (a)–(d) are examples of edge dominating sets (thick red lines).

Properties, Algorithms and computational complexity & Overview

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Properties

Algorithms and computational complexity

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Edge dominating set

Nodes15
Edges14
Triples49
Avg. degree1.87
Density0.133333
Components1

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Edge dominating set

Top relations

related to References · 38
Edge dominating set → Alberto, Approximation, Ausiello, Chlebík, Chlebíková, Combinatorial Optimization, Combinatorial Optimization Problems, Complexity, Computers, Crescenzi, David, Freeman, Gambosi, Garey, Giorgio, Guide, Intractability, ISBN, Janka, Johnson
related to Algorithms and computational complexity · 6
Edge dominating set → Determining, Gavril, NP-complete, NP-hard, There, Yannakakis
related to Properties · 3
Edge dominating set → An, Any, Figures
is a · 2
Edge dominating set → NP-hard problem, smallest edge dominating set

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Important terminology

edge dominating set minimum maximal graph matching sets problem size figures examples also doi yannakakis gavril 1980 approximation algorithm 2002

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Edge dominating setis asmallest edge dominating set0.90text
Edge dominating setis aNP-hard problem0.90text
Edge dominating setrelated to Algorithms and computational complexityDetermining0.60section
Edge dominating setrelated to Algorithms and computational complexityNP-complete0.60section
Edge dominating setrelated to Algorithms and computational complexityNP-hard0.60section
Edge dominating setrelated to Algorithms and computational complexityYannakakis0.60section
Edge dominating setrelated to Algorithms and computational complexityGavril0.60section
Edge dominating setrelated to Algorithms and computational complexityThere0.60section
Edge dominating setrelated to PropertiesAn0.60section
Edge dominating setrelated to PropertiesAny0.60section
Edge dominating setrelated to PropertiesFigures0.60section
Edge dominating setrelated to ReferencesLock-green0.60section

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