@article{10.5614/ejgta.2016.4.1.1,
author = {Ioan Tomescu},
title = {On the General Sum-connectivity Index of Connected Graphs with Given Order and Girth},
number = {1},
volume = {4},
journal = {Electronic Journal of Graph Theory and Applications},
year = {2016},
abstract = {In this paper, we show that in the classof connected graphs $G$ of order $n\geq 3$ having girth at least equal to $k$, $3\leq k\leq n$, the unique graph $G$ having minimum general sum-connectivity index $\chi _{\alpha }(G)$ consists of $C_{k}$ and $n-k$ pendant vertices adjacent to a unique vertex of $C_{k}$, if $-1\leq \alpha <0$. This property does not hold for zeroth-order general Randi\' c index $^{0}R_{\alpha}(G)$.},
doi = {10.5614/ejgta.2016.4.1.1},
pages = {1--7},
}