Some Mathematical Properties of the Geometric-Arithmetic Index/Coindex of Graphs

被引：4

作者：

Stankov, S. ^{[1
]}

Matejic, M. ^{[1
]}

Milovanovic, I ^{[1
]}

Milovanovic, E. ^{[1
]}

机构：

[1] Univ Nis, Fac Elect Engn, Nish, Serbia

来源：

FILOMAT | 2021年 / 35卷 / 15期

关键词：

Topological indices; vertex degree; geometric-arithmetic index; coindex; MOLECULAR-ORBITALS; INDEX; ENERGY;

D O I：

10.2298/FIL2115045S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G = (V, E), V = {1, 2, ... , n}, be a simple connected graph of order n, size m with vertex degree sequence d(1) >= d(2) >= center dot center dot center dot >= d(n) > 0, d(i) = d(v(i)). The geometric-arithmetic topological index of G is defined as GA(G) = Sigma(i similar to j) 2 root d(i)d(j)/d(i)+d(j) , whereas thegeometric-arithmetic coindex as (GA) over bar (G) = Sigma(i(sic)j) 2 root d(i)d(j)/d(i)similar to d(j). New lower bounds for GA(G) and GA(G) in terms of some graph parameters and other invariants are obtained.

引用

页码：5045 / 5057

页数：13

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