A Characterization of Hypergraphs with Large Domination Number

Let H = (V, E) be a hypergraph with vertex set V and edge set E. A dominating set in H is a subset of vertices D ⊆ V such that for every vertex v ∈ V \ D there exists an edge e ∈ E for which v ∈ e and e ∩ D ≠ ∅. The domination number γ(H) is the minimum cardinality of a dominating set in H. It is kn...

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Bibliographic Details
Published in:Discussiones Mathematicae Graph Theory
Main Authors: Henning Michael A., Löwenstein Christian
Format: Article
Language:English
Published: University of Zielona Góra 2016-05-01
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1865