Abstract:The hyper-Wiener index is one of the distance-based graph invariants, used as a structure-descriptor for predicting physicochemical properties of organic compounds. By the definition and properties of hyper-Wiener index,we determine the calculating formulas, the extreme value and corresponding graphs which maximize the hyper-Wiener index among all trees with given order and specific diameter at most 4.
王艳玲,高玉斌,房宜宾. 固定直径树的极大hyper-Wiener指数[J]. 华中师范大学学报(自然科学版), 2018, 52(5): 602-606.
WANG Yanling,GAO Yubin,FANG Yibin. On the maximum hyper-Wiener index of trees with fixed diameter. journal1, 2018, 52(5): 602-606.