Authors : G. Mahadevan and V. Vijayalakshmi
Abstract: The medium domination number of a Jahangir graph Jm,n was introduced by M. Ramachandran and N. Parvathi. Recently Mahadevan et al., introduced the concept of extended medium domination number of a graph. edom (u, v) is the sum of number of u-v paths of length less than or equal to 3. ETDV (G) = Σedom (u, v) for u, vεV(G) is the total number of vertices that dominate every pair of vertices. The extended medium domination number of G is EMD(G) = ETDV(G)/(p2) where, p is the number of vertices in G. Here, we generalize the extended medium domination number of Jahangir graph, sunflower graph and windmill graph.
G. Mahadevan and V. Vijayalakshmi, 2018. Extended Medium Domination Number of a Jahangir Graph. Journal of Engineering and Applied Sciences, 13: 8843-8846.