The topological index of molecular graph is a number that attributed to the molecular graph and is valid than graph isomorphism, this number can reflect the properties of the molecules. In this study, Harari index in ...The topological index of molecular graph is a number that attributed to the molecular graph and is valid than graph isomorphism, this number can reflect the properties of the molecules. In this study, Harari index in family phenacenes was calculated with some electronic and optical properties desired for a number of elements of the family, a model for predicting the electronic and optical properties by Harari index was prepared. To offer this model using mathematical software, electronic and optical properties of phenacenes calculated and compared with the data sources.展开更多
In this paper, in terms of Wiener index, hyper-Wiener index and Harary index, we first give some sufficient conditions for a nearly balance bipartite graph with given minimum degree to be traceable. Secondly, we estab...In this paper, in terms of Wiener index, hyper-Wiener index and Harary index, we first give some sufficient conditions for a nearly balance bipartite graph with given minimum degree to be traceable. Secondly, we establish some conditions for a k-connected graph to be Hamilton-connected and traceable for every vertex, respectively.展开更多
文摘The topological index of molecular graph is a number that attributed to the molecular graph and is valid than graph isomorphism, this number can reflect the properties of the molecules. In this study, Harari index in family phenacenes was calculated with some electronic and optical properties desired for a number of elements of the family, a model for predicting the electronic and optical properties by Harari index was prepared. To offer this model using mathematical software, electronic and optical properties of phenacenes calculated and compared with the data sources.
基金Supported by the Natural Science Foundation of China under Grant no(11871077)the NSF of Anhui Province of China under Grant no(1808085MA04)the Natural Science Foundation of Department of Education of Anhui Province of China under Grant no(KJ2017A362)
文摘In this paper, in terms of Wiener index, hyper-Wiener index and Harary index, we first give some sufficient conditions for a nearly balance bipartite graph with given minimum degree to be traceable. Secondly, we establish some conditions for a k-connected graph to be Hamilton-connected and traceable for every vertex, respectively.
