@article{Lin2024, 
author = {Zhen Lin and Ting Zhou},
title = {Degree-weighted Wiener index of a graph},
year = {2024},
journal = {Mathematical Modelling and Control},
volume = {4},
number = {1},
pages = {9-16},
keywords = {Sombor-Wiener index, degree-weighted Wiener index, tree},
url = {https://www.sciopen.com/article/10.3934/mmc.2024002},
doi = {10.3934/mmc.2024002},
abstract = {From geometric point of view, we introduced the Sombor-Wiener index of a graph and studied the basic properties of the new index. It was shown that the Sombor-Wiener index was useful in predicting the acentric factor of octane isomers. In addition, we proposed a degree-weighted Wiener index to generalize the Schultz index, the Gutman index, and the Sombor-Wiener index. Meanwhile, we gave the calculation formula of degree-weighted Wiener index for generalized Bethe trees.}
}