Resumen de Revan and hyper-Revan indices of Octahedral and icosahedral networks

Abdul Qudair Baig, Muhammad Naeem, Wei Gao

• Let G be a connected graph with vertex set V(G) and edge set E(G). Recently, the Revan vertex degree concept is defined in Chemical Graph Theory. The first and second Revan indices of G are defined as R1(G)=∑uv∈E[rG(u)+rG(v)] and R2(G)=∑uv∈E[rG(u)rG(v)], where uv means that the vertex u and edge v are adjacent in G. The first and second hyper-Revan indices of G are defined as HR1(G)=∑uv∈E[rG(u)+rG(v)]2 and HR2(G)=∑uv∈E[rG(u)rG(v)]2. In this paper, we compute the first and second kind of Revan and hyper-Revan indices for the octahedral and icosahedral networks.