Abstract
In this paper, we continue investigating the partition dimension for disconnected graphs. We determine the partition dimension for some classes of disconnected graphs G consisting of two components. If \(G=G_1 \cup G_2\), then we give the bounds of the partition dimension of G for \(G_1 = P_n\) or \(G_1=C_n\) and also for \(pd(G_1)=pd(G_2)\).
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Acknowledgements
This research was supported by Research Grant: “Program Penelitian dan Pengabdian kepada Masyarakat-Institut Teknologi Bandung (P3MI-ITB)”, Ministry of Research, Technology and Higher Education, Indonesia. The research for this article was also supported by APVV-15-0116 and by VEGA 1/0233/18.
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Haryeni, D.O., Baskoro, E.T., Saputro, S.W. et al. On the partition dimension of two-component graphs. Proc Math Sci 127, 755–767 (2017). https://doi.org/10.1007/s12044-017-0363-2
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DOI: https://doi.org/10.1007/s12044-017-0363-2