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Universal vertex

In graph theory, a universal vertex is a vertex of an undirected graph that is adjacent to all other vertices of the graph. It may also be called a dominating vertex, as it forms a one-element dominating set in the graph. A graph that contains a universal vertex may be called a cone, and its universal vertex may be called the apex of the cone. This…

In special families of graphs, Overview & Combinatorial enumeration

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Overview

In special families of graphs

Combinatorial enumeration

Recognition

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Map overview Semantic statistics

Universal vertex

Nodes46
Edges45
Triples17
Avg. degree1.96
Density0.043478
Components1

How this topic connects Entity context

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Universal vertex

Top relations

related to In special families of graphs · 6
Universal vertex → However, In, More, The, These, They
is a · 4
Universal vertex → dismantlable graph, same as the number of, vertex of an undirected graph that is adjacent to all other vertices of the graph, vertex whose degree is exactly n
related to Recognition · 4
Universal vertex → In, Rightarrow, The, Using
related to Combinatorial enumeration · 3
Universal vertex → In, The, This

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Important terminology

universal vertex graphs graph vertices displaystyle may number apex one every property formula called contains contain two also dominating set

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Universal vertexis avertex of an undirected graph that is adjacent to all other vertices of the graph0.90text
Universal vertexis adismantlable graph0.90text
Universal vertexis asame as the number of0.90text
Universal vertexis avertex whose degree is exactly n0.90text
Universal vertexrelated to Combinatorial enumerationThe0.60section
Universal vertexrelated to Combinatorial enumerationThis0.60section
Universal vertexrelated to Combinatorial enumerationIn0.60section
Universal vertexrelated to In special families of graphsThe0.60section
Universal vertexrelated to In special families of graphsThese0.60section
Universal vertexrelated to In special families of graphsMore0.60section
Universal vertexrelated to In special families of graphsThey0.60section
Universal vertexrelated to In special families of graphsIn0.60section

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    Min side: 3
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