The Slater and Sub-k-Domination Number of a Graph with Applications to Domination and k-Domination

In this paper we introduce and study a new graph invariant derived from the degree sequence of a graph G, called the sub-k-domination number and denoted subk(G). This invariant serves as a generalization of the Slater number; in particular, we show that subk(G) is a computationally efficient sharp l...

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Bibliographic Details
Main Authors: Amos David, Asplund John, Brimkov Boris, Davila Randy
Format: Article
Language:English
Published: Sciendo 2020-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2134