DMGT

ISSN 1234-3099 (print version)

ISSN 2083-5892 (electronic version)

https://doi.org/10.7151/dmgt

Discussiones Mathematicae Graph Theory

Journal Impact Factor (JIF 2023): 0.5

5-year Journal Impact Factor (2023): 0.6

CiteScore (2023): 2.2

SNIP (2023): 0.681

Discussiones Mathematicae Graph Theory

Article in volume

Authors:

M. Chellali

Mustapha Chellali

Department of MathematicsUniversity of BlidaB.P. 270, Blida, ALGERIA

email: m_chellali@yahoo.com

0000-0001-5231-6195

N. Jafari Rad

Nader Jafari Rad

Department of Mathematics Shahrood Niversity of TechnologyUniversity Blvd. Shahrood IRAN

email: n.jafarirad@gmail.com

S.M. Sheikholeslami

Seyed Mahmoud Sheikholeslami

Azarbaijan Shahid Madani university

email: s.m.sheikholeslami@azaruniv.ac.ir

0000-0003-2298-4744

L. Volkmann

Lutz Volkmann

Lehrstuhl II für Mathematik, RWTH-Aachen52056 Aachen GERMANY

email: volkm@math2.rwth-aachen.de

0000-0003-3496-277X

Title:

The Roman domatic problem in graphs and digraphs: a survey

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Source:

Discussiones Mathematicae Graph Theory 42(3) (2022) 861-891

Received: 2019-09-26 , Revised: 2020-02-21 , Accepted: 2020-02-24 , Available online: 2020-03-14 , https://doi.org/10.7151/dmgt.2313

Abstract:

In this paper, we survey results on the Roman domatic number and its variants in both graphs and digraphs. This fifth survey completes our works on Roman domination and its variations published in two book chapters and two other surveys.

Keywords:

Roman domination, domatic

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