直链四角系统的Balaban指标

THE BALABAN INDICES OF STRAIGHT CHAIN POLYOMINO SYSTEMS

令G是顶点集为V(G)和边集为E(G)的一个简单连通图,其顶点数为n,边数为m.Balaban指标在化学信息学、定量结构-性质关系和定量结构-活性关系、药物的筛选与合成等领域都存在广泛应用.本文主要对比了直链四角系统和直链四角系统变换,通过比较直链四角系统和直链四角系统变换的Balaban指标大小,利用求导判断距离之和的单调性给出了直链四角系统Balaban指标的上下界.

Let G be a simple connected graph with vertex set V(G)and edge set E(G).The Balaban index has been found lots of applications such as cheminformatics,QSAR and QSPR studies and drug design and synthesis.This paper compares their Balaban indices among straight chain polyomino systems and gives their different upper bounds and lower ones on the Balaban indices.