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 (Tn), Quadrilateral Snake graph (Qn), Alternate Triangular Snake graph (A(Tn)), Alternate Quadrilateral Snake graph (A(Qn)). 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(Tn)), 3-Alternate Triangular Snake graph (3A(Tn)), 4-Alternate Triangular Snake graph (4A(Tn)) , 5-Alternate Triangular Snake graph (5A(Tn)) , 2-Alternate Quadrilateral Snake graph (2Q(Tn)), 3-Alternate Quadrilateral Snake graph (3Q(Tn)) , 4-Alternate Quadrilateral Snake graph (4Q(Tn)) , 5-Alternate Quadrilateral Snake graph (5Q(Tn)).
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