## On two eccentricity-based topological indices of graphs

- Kexiang Xu, Yaser Alizadeh, Kinkar Chandra Das
- Discrete Applied Mathematics
- 2017

@article{Zhang2012OnTM, title={On the minimal eccentric connectivity indices of graphs}, author={Jianbin Zhang and Bo Zhou and Zhongzhu Liu}, journal={Discrete Mathematics}, year={2012}, volume={312}, pages={819-829} }

- Published 2012 in Discrete Mathematics
DOI:10.1016/j.disc.2011.10.006

Let G be a simple connected graph. The eccentric connectivity index ξ c(G) of G is defined as ξ c(G) = ∑ v∈V (G) d(v)ecG(v), where the eccentricity ecG(v) is the largest distance between v and any other vertex u ofG. In this paper, we obtain lower bounds on ξ c(G) in terms of the number of edges among n-vertex connected graphs with given diameter. Over… CONTINUE READING

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