Sridhara G, Rajesh Kanna M R, Pradeep Kumar R, Soner Nandappa D
1Post Graduate Department of Mathematics, Maharani's Science College for Women, Mysore, India.
Department of Mathematics, Sri.D. Devaraja Urs Governement First Grade College, Hunsur, India.
J Inequal Appl. 2018;2018(1):334. doi: 10.1186/s13660-018-1927-0. Epub 2018 Dec 6.
Let be a graph with vertices and edges. The term energy of a graph was introduced by I. Gutman in chemistry due to its relevance to the total -electron energy of a carbon compound. An analogous energy , called the distance energy, was defined by Indulal et al. (MATCH Commun. Math. Comput. Chem. 60:461-472, 2008) in 2008. McClelland and Koolen-Moulton bounds for distance energy were established subsequently by Ramane et al. (Kragujev. J. Math. 31:59-68, 2008). The lower and upper bounds for obtained in this paper are better than the McClelland and Koolen-Moulton bounds.
设(G)是一个具有(n)个顶点和(m)条边的图。图(G)的能量这一术语由I. 古特曼在化学领域引入,因为它与碳化合物的总(\pi)电子能量相关。2008年,因杜拉尔等人(《MATCH通讯:数学与计算化学》60:461 - 472, 2008)定义了一种类似的能量(D(G)),称为距离能量。随后,拉马内等人(《克拉古耶瓦茨数学杂志》31:59 - 68, 2008)建立了距离能量的麦克莱兰界和库伦 - 莫尔顿界。本文得到的(D(G))的上下界比麦克莱兰界和库伦 - 莫尔顿界更好。