@article{MAKHILLJEAS201914117298,
title = {On the Metro Domination Number of Cartesian Product of Pm_Pn and Cm_Cn},
journal = {Journal of Engineering and Applied Sciences},
volume = {14},
number = {1},
pages = {114-119},
year = {2019},
issn = {1816-949x},
doi = {jeasci.2019.114.119},
url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2019.114.119},
author = {G.C.,P. and},
keywords = {cardinality,metro dominating set,dominating set,landmark,Metric dimension,product},
abstract = {Let G = (V, E) be a graph. A set S⊆V is called resolving set if for every u, v∈V there exist w∈V such
that d(u, w) ≠ = d(v, w). The resolving set with minimum cardinality is called metric basis and its cardinality is
called metric dimention and it is denoted by β(G). A set D⊆V is called dominating set if every vertex not in D
is adjacent to at least one vertex in D. The dominating set with minimum cardinality is called domination number
of G and it is denoted by γ(G). A set which is both resolving set as well as dominating set is called metro
dominating set. The minimum cardinality of a metro dominating set is called metro domination number of G and
it is denoted by γβ(G). In this study we determine on the metro domination number of cartesian product of Pm Pn and Cm Cn .}
}