2-Metro Domination Number of Open Ladder Graph

Authors

  • Shruthi A Dept of Mathematics, Brindavan College of Engineering, Bangalore.
  • G C Basavaraju Dept of Mathematics, Brindavan College of Engineering, Bangalore.
  • Yogalakshmi S Dept of Mathematics, Atria institute of technology, Bangalore.
  • Vishukumar M Dept of Mathematics, REVA University, Bangalore.

Keywords:

dominating set, domination number, metric dimension, metro domination

Abstract

A “subset D of the vertex set V of the graph  is said to be a dominating set if every vertex in  is adjacent to at least one vertex in D. The minimum cardinality of the dominating set is called the domination number. The metro domination number is the order of a minimum dominating set which resolves as a metric” as a metric set. It is denoted by  “In this paper we determine the 2-metro domination number of open ladder graph.

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References

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G CBasavaraju, M Vishukumar and Raghunath, “On the K-metrodomination number of Cartesian product of P2X Pn”, Journal of Advanced Reserch in Dynamical and Control Systems, 11(2019), no.1, pp.425-431.

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Published

18-10-2022

How to Cite

Shruthi, A., Basavaraju, G. C., Yogalakshmi, S., & Vishukumar, M. (2022). 2-Metro Domination Number of Open Ladder Graph. International Journal of Health Sciences, 6(S9), 3761–3765. Retrieved from https://sciencescholar.us/journal/index.php/ijhs/article/view/13457

Issue

Vol. 6 No. S9 (2022)

Section

Peer Review Articles
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