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 $B_{1}(G)=\sum\limits_{ue}[d_{G}(u)+d_{G}(e)]$ and $B_{2}(G)=\sum\limits_{ue}[d_{G}(u)d_{G}(e)]$ ,where $ue$ means that the vertex $u$ and edge $e$ are incident in $G$....

Full description

Bibliographic Details
Main Authors: Wei Gao, Batsha Muzaffar, Waqas Nazeer
Format: Article
Language:English
Published: Ptolemy Scientific Research Press 2017-12-01
Series:Open Journal of Mathematical Analysis
Subjects:
Online Access:https://pisrt.org/psr-press/journals/oma-vol-1-issue-1-2017/k-banhatti-and-k-hyper-banhatti-indices-of-dominating-david-derived-network/