A short note on double Roman domination in graphs

Articles in Press

Document Type : Short notes

Authors

1 LAMDA-RO Laboratory, Department of Mathematics, University of Blida 1, Algeria

2 Department of Mathematics and Computer Science, University of Médéa, Algeria.

Abstract

In this short note, we report an erroneous result of Mojdeh, Parsian and Masoumi relating the double Roman domination number to the enclaveless number and the differential of a graph. ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

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References

[1] S. Bermudo, H. Fernau, and J. Sigarreta, The differential and the Roman domination number of a graph, Appl. Anal. Discret. Math. 8 (2014), no. 1, 155–171. http://doi.org/10.2298/AADM140210003B
[2] J.R. Lewis, Differentials of Graphs, East Tennessee State University, Johnson City, 2004.
[3] D.A. Mojdeh, I. Masoumi, and A. Parsian, A new approach on Roman graphs, Turk. J. Math. Comput. Sci. 13 (2021), no. 1, 6–13.
[4] D.A. Mojdeh, A. Parsian, and I. Masoumi, Characterization of double Roman trees, Ars Combin. 153 (2020), 53–68.
Communications in Combinatorics and Optimization

Articles in Press, Accepted Manuscript
Available Online from 11 January 2024

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