Cabahug,, Isagani S. (2023) On the 2-Rainbow Domination Number Over the γ-set of Some Classes of Graphs. Asian Research Journal of Mathematics, 19 (9). pp. 212-217. ISSN 2456-477X
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Official URL: https://doi.org/10.9734/arjom/2023/v19i9712
Abstract
A 2-rainbow domination function (2-RDF) is a function f : V (G) → 2[2] on a vertex set V (G) of a graph G, such that for any vertex v with f(x) = ∅, we have S u∈N(v) f(u) = [2]. The weight of f is kfk = P v∈V (G) |f(v)|. The minimum value of kfk is the 2-rainbow domination number denoted by γr2(G). In this study, we determine the 2-rainbow domination number of some special classes of graphs over its
corresponding γ-set, specifically, path, cycle, fan, and wheel graphs.
| Item Type: | Article |
|---|---|
| Subjects: | GO for ARCHIVE > Mathematical Science |
| Depositing User: | Unnamed user with email support@goforarchive.com |
| Date Deposited: | 19 Sep 2023 09:48 |
| Last Modified: | 19 Sep 2023 09:48 |
| URI: | http://eprints.go4mailburst.com/id/eprint/1114 |
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