University of Kashan Iranian Journal of Mathematical Chemistry 2228-6489 6 2 2015 10 01 A Note on Connectivity and Lambda-modified Wiener index 137 143 10429 10.22052/ijmc.2015.10429 EN W. Gao Yunnan normal university Y. Gao yunnan normal university Journal Article 2015 03 08 In theoretical chemistry, -modified Wiener index is a graph invariant topological index to analyze the chemical properties of molecular structure. In this note, we determine the minimum -modified Wiener index of graph with fixed connectivity or edge-connectivity. Our results also present the sufficient and necessary condition for reaching the lower bound. Chemical graph theory lambda-modified Wiener index connectivity Edge-connectivity https://ijmc.kashanu.ac.ir/article_10429_01579a1608e80d4c9c5ad2257762be5e.pdf