On the geometric-arithmetic index of a graph

On the geometric-arithmetic index of a graph
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关于图的几何算术索引

DOI:
10.1016/j.dam.2018.06.021
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发表时间:
2019-02
影响因子:
1.1
通讯作者:
Baoyindureng Wu
Baoyindureng Wu
中科院分区:
数学3区
文献类型:
--
作者:
Yin Chen;Baoyindureng Wu

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Abstract Very recently, Aouchiche and Hansen gave an upper bound on the ratio of G A∕ χ of the geometric–arithmetic index G A (G) and the chromatic number χ (G) of a graph. Furthermore, they proposed several conjectures on the relation between geometric–arithmetic index and chromatic number, and clique number. In this note, we disprove four of those conjectures. In addition, we present a sufficient condition for an edge e∈ E (G) with G A (G− e)< G A (G).
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