Monophonic Polynomial of the cartesian product of some graphs

Abstract

Let  be the family of monophonic sets of a graph  with cardinality  and let  Then the monophonic polynomial of  is defined as , where  is the monophonic number of . In this paper we have determined the sufficient condition for the monophonic set of . Also, we have calculated the monophonic polynomial of the cartesian product of some specific graphs by generating function method.