摘要
Define the zeroth-order Randic index R^(0)(G)=∑x∈V(G)1/√dG1(x),where dG(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.
基金
This work is supported by the National Natural Science Foundation of China(Nos.11501490,61373019,13071107)
the Natural Science Foundation of Shandong Province(No.ZR2015AM006).