On locating-dominating number of comb product graphs

Aswan Anggun Pribadi, Suhadi Wido Saputro

Abstract


We consider a set D ⊆ V(G) which dominate G and for every two distinct vertices x, y ∈ V(G) \ D, the open neighborhood of x and y in D are different. The minimum cardinality of D is called the locating-dominating number of G. In this paper, we determine an exact value of the locating- dominating number of comb product graphs of any two connected graphs of order at least two.


Keywords


comb product; locating-dominating number; locating-dominating sets

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DOI: http://dx.doi.org/10.19184/ijc.2020.4.1.4

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