Domination Defect of Some Parameterized Families of Graphs
In this paper, we study the concept of \(k\)-domination defect of a graph \(G\) and investigate it for some parameterized families of graphs. We produce characterizations of the \(\zeta_k\)-sets of the path, cycle, centipede graph, sunlet graph, bi-star graph, crown graph, and complete bipartite graph, and then from these characterizations, the corresponding \(k\)-domination defects of the aforesaid graphs are determined.
Authors
- Rolito G. Eballe (ORCID: https://orcid.org/0000-0003-1762-0970)
- Aldwin T. Miranda (ORCID: https://orcid.org/0000-0002-0898-0715)
Institutions
- Central Mindanao University (PH)
- Southern Philippines Agri-Business and Marine and Aquatic School of Technology (PH)
Publication Details
- Journal
- Communications in Mathematics and Applications
- Published
- 2024-11-14
- DOI
- https://doi.org/10.26713/cma.v15i2.1984
- Citations
- 2
- Primary Topic
- Advanced Graph Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Commission on Higher Education