Umilasari, Reni and Susilowati, Liliek and Slamin, S and prabhu, savari (2022) (Similarity + Document) On the Dominant Local Metric Dimension of Corona Product Graphs. IJAM IAENG.
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Abstract
A nontrivial connected graph T which one of the vertex is v, v is said to distinguish two vertex u, t if the distance between v and u is different from v to t, where u, t ∈ V (T). Metric dimension is one topic in graph theory that uses the concept of distance. Combining the definition of the local metric dimension and dominating set, there is a new term, we called it dominant local metric dimension and symbolized as Ddiml(T). An ordered subset Wl = {w1, w2, . . . , wn} ⊆ V (T) is called a dominant local resolving set of T if Wl is a local resolving set as well as a dominating set of T. The goal of this paper’s research is to determine precise values of dominant local metric dimension for the corona product graphs. n copies of the graphs P1, P2, ..., Pn of P are made to constructed the corona of any two graph T and P. After that, we link the i-th vertex of T to the vertices of Pi, where n is an order of graph T. T coronaP is symbolized by T �⊚ P
| Item Type: | Peer Review |
|---|---|
| Subjects: | 500 Natural Science and Mathematics > 510 Mathematics |
| Divisions: | Faculty of Engineering > Department of Informatics Engineering (S1) |
| Depositing User: | Reni Umilasari |
| Date Deposited: | 25 Jan 2023 01:28 |
| Last Modified: | 25 Jan 2023 01:28 |
| URI: | http://repository.unmuhjember.ac.id/id/eprint/16109 |
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