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Proceedings - Mathematical Sciences

, Volume 127, Issue 5, pp 755–767 | Cite as

On the partition dimension of two-component graphs

  • D O HaryeniEmail author
  • E T Baskoro
  • S W Saputro
  • M Bača
  • A Semaničová-Feňovčíková
Article
  • 103 Downloads

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 \(pd(G_1)=pd(G_2)\).

Keywords

Partition dimension disconnected graph component 

2010 Mathematics Subject Classification

05C12 05C15 

Notes

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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Copyright information

© Indian Academy of Sciences 2017

Authors and Affiliations

  • D O Haryeni
    • 1
    Email author
  • E T Baskoro
    • 1
  • S W Saputro
    • 1
  • M Bača
    • 2
  • A Semaničová-Feňovčíková
    • 2
  1. 1.Combinatorial Mathematics Research Group, Department of Mathematics, Faculty of Mathematics and Natural SciencesInstitut Teknologi Bandung (ITB)BandungIndonesia
  2. 2.Department of Applied Mathematics and InformaticsTechnical UniversityKosiceSlovak Republic

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