DMGT

ISSN 1234-3099 (print version)

ISSN 2083-5892 (electronic version)

https://doi.org/10.7151/dmgt

Discussiones Mathematicae Graph Theory

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Discussiones Mathematicae Graph Theory

Article in volume

Authors:

M.A. Henning

Michael A. Henning

University of Johannesburg

email: mahenning@uj.ac.za

0000-0001-8185-067X

Title:

Bounds on domination parameters in graphs: a brief survey

PDF

Source:

Discussiones Mathematicae Graph Theory 42(3) (2022) 665-708

Received: 2022-02-05 , Revised: 2022-03-29 , Accepted: 2022-03-29 , Available online: 2022-04-28 , https://doi.org/10.7151/dmgt.2454

Abstract:

In this paper we present a brief survey of bounds on selected domination parameters. We focus primarily on bounds on domination parameters in terms of the order and minimum degree of the graph. We present a list of open problems and conjectures that have yet to be solved in the hope of attracting future researchers to the field.

Keywords:

bounds, domination parameters

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