PI indices of pericondensed benzenoid graphs

被引：15

作者：

Deng, Hanyuan ^{[1
]}

Chen, Shubo ^{[1
]}

机构：

[1] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Peoples R China

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2008年 / 43卷 / 01期

基金：

中国国家自然科学基金;

关键词：

topological index; PI index; pericondensed benzenoid graph;

D O I：

10.1007/s10910-006-9175-9

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

The Padmakar - Ivan (PI) index is a graph invariant defined as the summation of the sums of n(eu)(e|G) and n(ev)(e|G) over all the edges e = uv of a connected graph G, i.e., PI(G) = Sigma(e is an element of E(G))[n(eu)(e|G) + n(ev)(e|G)], where n(eu)(e|G) is the number of edges of G lying closer to u than to v and n(ev)(e|G) is the number of edges of G lying closer to v than to u. An efficient formula for calculating the PI index of a class of pericondensed benzenoid graphs consisting of three rows of hexagonal of various lengths.

引用

页码：19 / 25

页数：7