NoteA short note on: There is no graph G with GSR≅ Kr,s,r,s≥2
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Add time:09/07/2019 Source:sciencedirect.com
The strong resolving graph GSR of a connected graph G was introduced by Oellermann and Peters-Fransen (2007) as a tool to study the strong metric dimension of G. Recently, Kuziak et al. (2018) studied the realization and characterization problems of strong resolving graphs and they pose a conjecture: The graph equation GSR≅Kr,s has no solution for any r,s≥2. In this paper we give a positive answer to this conjecture.
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