图的ISI指数与能量的界

Bounds on the ISI Index and Energy of Graph

运用一些熟知的不等式,研究图的ISI指数与能量的上下界,通过考虑ISI指数和能量与图的不变量(最大度、最小度、边度等)和一些已知的拓扑指数之间的关系,从而得到图的ISI指数与能量的一些新上下界。

Some well-known inequalities were used to study the bounds of the ISI index and energy of graph in the paper.By considering the relationship of ISI index and the energy with graph invariants(maximum degree,minimum degree,edge degree,etc)and some known topological indexes,we obtained the new upper and lower bounds of the ISI index and the energy.