On Resolving Efficient Dominating Set of Cycle and Comb Product Graph
- 10.2991/978-94-6463-138-8_2How to use a DOI?
- Resolving Efficient Dominating Set; Cycle Graph; Comb Product Graph
The graph used in this paper is a connected, bounded, and undirected graph G, is used which contains a set of vertex V(G) and a set of edge E(G). It is called the efficient dominating set of a graph if every point V in D or is adjacent to one vertex in D. For a set of solutions of G in an ordered set, it is distinguished by the distance of its point representation. Suppose we take any vertex in G, then is a subset of V(G) and the ordered set W of vertex representation is . The set S can be is called the completion set of G if . And for subset Z of V(G) it can be called the efficient dominating set if , then the minimum cardinality of resolving efficient dominating set is symbolized by . The axiomatic deductive technique and the pattern detection method used in this study apply the principles of deductive proof to mathematical logic by using existing axioms, lemmas, and theorems to solve questions about the topic under study. Some theorems or definitions will be obtained in this study as a result of further analysis of previously existing theorems or definitions. The pattern identification approach follows a research method for locating efficient set completion patterns in the graph under consideration and the problem. In this paper we obtain from several cycle graphs , namely , , , in this paper the proving of resolving efficient dominating set is only on .
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TY - CONF AU - Muzayyanatun Munawwarah AU - Dafik AU - Arika Indah Kristiana AU - Elsa Yuli Kurniawati AU - Rosanita Nisviasari PY - 2023 DA - 2023/04/27 TI - On Resolving Efficient Dominating Set of Cycle and Comb Product Graph BT - Proceedings of the 6th International Conference of Combinatorics, Graph Theory, and Network Topology (ICCGANT 2022) PB - Atlantis Press SP - 3 EP - 16 SN - 2352-541X UR - https://doi.org/10.2991/978-94-6463-138-8_2 DO - 10.2991/978-94-6463-138-8_2 ID - Munawwarah2023 ER -