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Let G be a connected graph with vertex set V (G) and edge set E(G). Bhanumathi and Easu Julia Rani introduced the first K -Eccentric index B1E(G) and the second K Eccentric index B2E(G) of a graph G as B1E(G) = Σue [ eG(u)+ eL(G)(e) ] ,B2E(G) = ∑ue [ eG(u)eL(G)(e) ] They also defined the first K -Hyper eccentric index HB1E(G) and the second K -Hyper eccentric index HB2E(G) of a graph G as HB1E(G) =∑ue [ eG(u)+ eL(G)(e) ]2 ,HB2E(G) = ∑ue [ eG(u)eL(G)(e) ]2 where in all the cases ue means that the vertex u and edge e are incident in G and eL(G)(e) is the eccentricity of e in the line graph L(G) of G. They have defined the multiplicative version of these indices also. In this paper, we calculate the first and second K eccentric, the first and second K-hyper eccentric indices and their multiplicative versions of benzenoid Hk system.

On $K$-eccentric and $K$-hyper eccentric indices of Benzenoid $H_k$ system