Restrained Weakly Connected 2-Domination in the Vertex and Edge Coronas of Graphs
DOI:
https://doi.org/10.26713/cma.v14i2.1940Keywords:
Restrained weakly connected 2-domination, Vertex corona, Edge coronaAbstract
In this paper, we explore the concept of restrained weakly connected 2-domination in the vertex and edge coronas of graphs. In particular, we characterize the restrained weakly connected 2-dominating sets in the vertex and edge coronas of two graphs and obtain the corresponding restrained weakly connected 2-domination numbers of these graphs.
Downloads
References
G. Chartrand, L. Lesniak and P. Zhang, Graphs and Digraphs, 6th edition, Chapman and Hall/CRC, New York, 640 pages (2015), DOI: 10.1201/b19731.
G. S. Domke, J. H. Hattingh, S. T. Hedetniemi, R. C. Laskar and L. R. Markus, Restrained domination in graphs, Discrete Mathematics, 203(1-3) (1999), 61 – 69, DOI: 10.1016/S0012-365X(99)00016-3.
J. E. Dunbar, J. W. Grossman, J. H. Hattingh, S. T. Hedetniemi and A. A. McRae, On weakly connected domination in graphs, Discrete Mathematics, 167-168 (1997), 261 – 269, DOI: 10.1016/S0012-365X(96)00233-6.
J. F. Fink and M. S. Jacobson, On n-domination, n-dependence and forbidden subgraphs, Graph Theory with Applications to Algorithms and Computer Science, Wiley, New York, pp. 301 – 312 (1985).
M. P. Militante and R. G. Eballe, Exploring the vertex and edge corona of graphs for their weakly connected 2-domination, International Journal of Contemporary Mathematical Sciences 16(4) (2021), 161 – 172, DOI: 10.12988/ijcms.2021.91633.
M. P. Militante, R. G. Eballe and R. E. Leonida, Restrained weakly connected 2-domination in the join of graphs, Communications in Mathematics and Applications 13 (3) (2022), 1087 – 1096, DOI: 10.26713/cma.v13i3.1939.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.