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- W2972103073 abstract "For a graph $G$ without isolated vertices, the inverse degree of a graph $G$ is defined as $ID(G)=sum_{uin V(G)}d(u)^{-1}$ where $d(u)$ is the number of vertices adjacent to the vertex $u$ in $G$. By replacing $-1$ by any non-zero real number we obtain zeroth-order general Randic index, i.e. $^0R_{gamma}(G)=sum_{uin V(G)}d(u)^{gamma}$ where $gamma$ is any non-zero real number. In cite{xd}, Xu et. al. determined some upper and lower bounds on the inverse degree for a connected graph $G$ in terms of chromatic number, clique number, connectivity, number of cut edges. In this paper, we extend their results and investigate if the same results hold for $gamma<0$. The corresponding extremal graphs have been also characterized." @default.
- W2972103073 created "2019-09-12" @default.
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- W2972103073 date "2019-09-07" @default.
- W2972103073 modified "2023-09-27" @default.
- W2972103073 title "Some Bounds on Zeroth-Order General Randi'c$ Index" @default.
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