Independent Domination for Some Special Types of Snake Graphs

Abstract

In this chapter, we discussed about a particular types of snake graphs i.e., Triangular and Quadrilateral Snake graphs. We determined the Independent Domination and Independent Domination Number for various forms of Triangular Snake graph (T_n), Quadrilateral Snake graph (Q_n), Alternate Triangular Snake graph (A(T_n)), Alternate Quadrilateral Snake graph (A(Q_n)). Later, we extended our work to a new form of alternate snake graph (ie.,) n Alternative snake graph. Here, we have figured out the new form of -alternate snake graph in various forms and found the independent domination and independent domination number for 2-Alternate Triangular Snake graph (2A(T_n)), 3-Alternate Triangular Snake graph (3A(T_n)), 4-Alternate Triangular Snake graph (4A(T_n)) , 5-Alternate Triangular Snake graph (5A(T_n)) ,  2-Alternate Quadrilateral Snake graph (2Q(T_n)), 3-Alternate Quadrilateral Snake graph (3Q(T_n)) , 4-Alternate Quadrilateral Snake graph (4Q(T_n)) , 5-Alternate Quadrilateral Snake graph (5Q(T_n)).