• ON THE K-METRO DOMINATION NUMBER OF CARTESIAN PRODUCT OF P2XPn

BASAVARAJU G C*, VISHUKUMAR M, RAGHUNATH P

Abstract


A dominating set  of a graph  is called metro dominating set  if for every pair of vertices  there exists a vertex   in  such that  The - metro domination number of Cartesian product of   is the order of smallest  - dominating set of  which resolves as a metric set. In this paper we calculate the - metro domination number of Cartesian product of .


Keywords


Metric Dimension, Landmark, k- dominating set, Metro dominating set.

Full Text:

PDF


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 Unported License.
© 2010-2018 International Journal of Mathematical Archive (IJMA)
Copyright Agreement & Authorship Responsibility
Web Counter