UNIDOMINATING FUNCTIONS OF A PATH

Graph Theory is one of the most flourishing branches of Mathematics with wide applications to various branches of Science and Technology. One of the branches of Graph Theory that has emerged rapidly in the last three decades is “Domination in Graphs”. Recently dominating functions in domination theory have received much attention. We have introduced a new concept of unidominating function and in this paper we present unidominating functions of a path and determine the unidomination number. Further, we determine the number of unidominating functions of minimum weight for paths.