The hyper-Zagreb index and some graph operations
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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;
Eccentric harmonic index of a graph
Sign Up to like & getrecommendations! Published in 2019 at "Arab Journal of Basic and Applied Sciences"
DOI: 10.1080/25765299.2019.1688914
Abstract: Abstract In this paper, we introduce the eccentric harmonic index of a graph G, so that it is the sum of the terms for the edges where ei is the eccentricity of the ith vertex… read more here.
Keywords: eccentric harmonic; index; index graph; harmonic index ... See more keywords