K-Banhatti and K-hyper Banhatti Indices of Dominating David Derived Network

Let G be connected graph with vertex V ( G ) and edge set E ( G ) . The first and second K -Banhatti indices of G are defined as B 1 ( G ) = ∑ u e [ d G ( u ) + d G ( e ) ] and B 2 ( G ) = ∑ u e [ d G ( u ) d G ( e ) ] ,where u e means that the vertex u and edge e are incident in G . The first and second K -hyper Banhatti indices of G are defined as H B 1 ( G ) = ∑ u e [ d G ( u ) + d G ( e ) ] 2 and H B 2 ( G ) = ∑ u e [ d G ( u ) d G ( e ) ] 2 . In this paper, we compute the first and second K -Banhatti and K -hyper Banhatti indices of Dominating David Derived networks.