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Edge dominating set: Properties, Algorithms and computational complexity & Overview

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).

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Edge dominating set topic overview

The analysis highlights Properties, Algorithms and computational complexity and Overview as prominent areas in the source structure around Edge dominating set.

Related topics
11
Source areas
3
Connected nodes
14
Extracted relationships
49
Concept neighborhoods
15
Bridge connections
14

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Algorithms and computational complexity · 5 topics
Properties · 5 topics
Overview · 1 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Properties

Algorithms and computational complexity

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Edge dominating set connects Entity context

The extracted context around Edge dominating set shows recurring relationship patterns in the source. For example, 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 Another extracted example is Edge dominating set → Determining, Gavril, NP-complete, NP-hard, There, Yannakakis. Use these groups to spot repeated connection types before inspecting the individual relationships.

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

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

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

Edge dominating set relationships Subject–Predicate–Object triples

TTTA extracted 49 structured relationships around Edge dominating set. Examples in this analysis include Edge dominating set → is a → smallest edge dominating set and Edge dominating set → is a → NP-hard problem. The table shows each extracted connection, where it came from and its confidence.

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

Related concept clusters Concept neighborhoods

The concept neighborhoods around Edge dominating set bring nearby vocabulary together. In this analysis, examples include Dominating, Edge and Set. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Edge dominating set
    • Dominating
    • Edge
    • Set
    • Minimum
    • Matching
    • Maximal
    • Sets
    • Size
    • Graph
    • Doi
    • Algorithms
    • Figure
  • edge dominating set
    • Dominating
    • Edge
    • Set
    • Minimum
    • Matching
    • Maximal
    • Size
    • Sets
    • Graph
    • Doi
    • Figure
    • Furthermore
  • dominating set
    • Edge
    • Set
    • Minimum
    • Matching
    • Maximal
    • Size
    • Sets
    • Graph
    • Doi
    • Figure
    • Furthermore
    • Given
  • graph theory
    • Np-complete
    • Size
    • Set
    • Problem
    • Dominating
    • Edge
    • Minimum
    • Algorithms
    • Complexity
    • Finding
    • Given
    • Graph
  • line graph
    • Np-complete
    • Algorithms
    • Complexity
    • Properties
    • Size
    • Set
    • Problem
    • Dominating
    • Edge
    • Minimum
    • Finding
    • Given
  • bipartite graph
    • Np-complete
    • Size
    • Set
    • Problem
    • Dominating
    • Edge
    • Minimum
    • Algorithms
    • Complexity
    • Finding
    • Given
    • Line
  • planar graph
    • Np-complete
    • Size
    • Set
    • Problem
    • Dominating
    • Edge
    • Minimum
    • Algorithms
    • Complexity
    • Finding
    • Given
    • Line
  • minimum maximal matching
    • Maximal
    • Set
    • Size
    • Figure
    • Find
    • Furthermore
    • Matching
    • Minimum
    • Given
    • Problem
    • Factor
    • Smallest

Connections between topic areas Semantic bridges

For Edge dominating set, one of the stronger structural bridges in this analysis connects Edge dominating set with Properties. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Edge dominating set — Properties · splits 9 ⟂ 6
Edge dominating set — Algorithms and computational complexity · splits 9 ⟂ 6

Map overview Semantic statistics

Edge dominating set

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

Source & methodology

TTTA analyzes the structure around Edge dominating set to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Properties, Algorithms and computational complexity & Overview, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Edge dominating set · EN edition · Analysis: TopicsToTalkAbout

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