Eccentric domination path decomposition of Dumbbell graph
K. Lal Gipson, K S Jinisha Kalaiarasan · International Journal of Health Sciences · 2022
A decomposition (G_1,G_2,….G_n) of G is said to be Eccentric Domination Path Decomposition(EDPD) if i) G admits EDD ii) Each G_i is a path (1≤i≤n) iii) q(G_1 )=1 and q(G_2 )=2 or 3 iv) q(G_i )=3i-5 or 3i-4 or 3i-3, i=3,4….n.