Blast Domination Number of Transformation Graphs of Linear and Circular Graphs
International Journal of Recent Technology and Engineering (IJRTE) ยท 2020
A subset S of V of a non-trivial connected graph G is called a Blast dominating set (BD-set), if S is a connected dominating set and the induced sub graph ๐ฝ โ ๐บ is triple connected. The minimum cardinality taken over all such Blast Dominating sets is called the Blast Domination Number (BDN) of G and is denoted as, ๐ธ๐ ๐๐ (๐ฎ). In this article, let us mull over the generalized transformation graphs ๐ฎ ๐๐ and get hold of the analogous lexis of the Blast domination numbers for all the rage, transformation graphs, ๐ฎ ๐๐ and their complement graphs, ๐ฎ ๐ ๐ for linear and circular graphs.