A note on hyper-Zagreb coindex of graph operations
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DOI: 10.1007/s12190-016-0986-y
Abstract: In this paper, the hyper-Zagreb coindex of the union, Cartesian product, composition and corona product of graphs are computed. The hyper-Zagreb coindex of the union, Cartesian product and composition of graphs correct some errors in… read more here.
Keywords: hyper zagreb; coindex graph; zagreb coindex; note hyper ... See more keywords
The hyper-Zagreb index and some graph operations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-016-1008-9
Abstract: Let G be a simple connected graph. The Hyper-Zagreb index is defined as $$\textit{HM}(G)=\sum _{uv\in E_{G}}(d_{G}(u)+d_{G}(v))^2$$HM(G)=∑uv∈EG(dG(u)+dG(v))2. In this paper some exact expressions for the hyper-Zagreb index of graph operations containing cartesian product and join of… read more here.
Keywords: hyper zagreb; zagreb index; index graph;