A Note on Global Bipartite Domination in Graphs

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Authors :

Latheesh Kumar A. R. a and Anil Kumar V. b∗

Author Address :

a Department of Mathematics, St. Mary’s College, Sulthan bathery, Wayanad, Kerala, India 673 592.
b Department of Mathematics, University of Calicut, Malappuram, Kerala, India 673 635.

*Corresponding author.

Abstract :

In this paper we introduce the concept of the \textit{global bipartite domination number} $\gamma_{gb}(G)$ of a connected bipartite graph $G$ and study some of its general properties. Moreover we determine the global bipartite domination number of certain classes of graphs.

Keywords :

Domination, global bipartite domination, global bipartite domination number.

DOI :

Article Info :

Received : November 24, 2015; Accepted : April 15, 2016.