Abstract
Define the zeroth-order Randic index $$R^0(G)=\sum _{x\in V(G)}\frac{1}{\sqrt{d_G(x)}}$$, where $$d_G(x)$$ denotes the degree of the vertex x. In this paper, we present two sufficient conditions for graphs and triangle-free graphs to be super-edge-connected in terms of the zeroth-order Randic index, respectively.
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