## Abstract

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 *R*
_{1}(*G*) = *r _{G}*(

*u*) +

*r*(

_{G}*v*)] and

*R*

_{2}(

*G*) =

*r*(

_{G}*u*)

*r*(

_{G}*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

*HR*

_{1}(

*G*) =

*r*(

_{G}*u*) +

*r*(

_{G}*v*)]

^{2}and

*HR*

_{2}(

*G*) =

*r*(

_{G}*u*)

*r*(

_{G}*v*)]

^{2}. In this paper, we compute the first and second kind of Revan and hyper-Revan indices for the octahedral and icosahedral networks.