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In graph theory, a dominating set for a graph G is a subset D of its vertices, such that any vertex of G is in D, or has a neighbor in D. The domination number γ(G) is the number of vertices in a smallest dominating set for G.
The analysis highlights History, Variants and Algorithms and computational complexity as prominent areas in the source structure around Dominating set.
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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.
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The extracted context around Dominating set shows recurring relationship patterns in the source. For example, Dominating set → dominating set in which every vertex in the set has either zero or at least two neighbours outside the set, dominating set of a graph G, dominating set that is also an independent set, dominating set that is also connected, dynamic version of domination in which a vertex v, set D, set of vertices such that all vertices in the graph, set of vertices such that each vertex in the graph has at least k neighbors in the set, star-dominating set and vice versa, subset D Another extracted example is Dominating set → Karp's, L-reductions, Log-APX-complete, Moreover, NP, NP-complete, NP-hard. Use these groups to spot repeated connection types before inspecting the individual relationships.
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dominating set graph doi displaystyle domination 10 graphs minimum vertices problem sets vertex number gamma cover also isbn every 1016
TTTA extracted 41 structured relationships around Dominating set. Examples in this analysis include Dominating set → is a → dominating set that is also an independent set and Dominating set → is a → dominating set that is also connected. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Dominating set | is a | dominating set that is also an independent set | 0.90 | text |
| Dominating set | is a | dominating set that is also connected | 0.90 | text |
| Dominating set | is a | set of vertices such that all vertices in the graph | 0.90 | text |
| Dominating set | is a | set D | 0.90 | text |
| Dominating set | is a | set of vertices such that each vertex in the graph has at least k neighbors in the set | 0.90 | text |
| Dominating set | is a | subset D | 0.90 | text |
| Dominating set | is a | star-dominating set and vice versa | 0.90 | text |
| Dominating set | is a | dynamic version of domination in which a vertex v | 0.90 | text |
| Dominating set | is a | dominating set of a graph G | 0.90 | text |
| Dominating set | is a | dominating set in which every vertex in the set has either zero or at least two neighbours outside the set | 0.90 | text |
| unit disk graphs | instance of | for special cases | 0.80 | text |
| planar graphs | instance of | for special cases | 0.80 | text |
The concept neighborhoods around Dominating set bring nearby vocabulary together. In this analysis, examples include Set, Minimum and Sets. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Dominating set, one of the stronger structural bridges in this analysis connects Dominating set with Variants. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
TTTA analyzes the structure around Dominating set to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History, Variants & Algorithms and computational complexity, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Dominating set · EN edition · Analysis: TopicsToTalkAbout
