On the maximum ABC index of bipartite graphs without pendent vertices

For a simple graph G, the atom–bond connectivity index (ABC) of G is defined as ABC(G) = ∑uv∈ E(G)d(u)+d(v)−2d(u)d(v), $\sum_{uv\in{}E(G)} \sqrt{\frac{d(u)+d(v)-2}{d(u)d(v)}},$where d(v) denotes the degree of vertex v of G. In this paper, we prove that for any bipartite graph G of order n ≥ 6, size...

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Bibliographic Details
Main Authors: Shao Zehui, Wu Pu, Jiang Huiqin, Sheikholeslami S.M., Wang Shaohui
Format: Article
Language:English
Published: De Gruyter 2020-03-01
Series:Open Chemistry
Subjects:
Online Access:http://www.degruyter.com/view/j/chem.2020.18.issue-1/chem-2020-0002/chem-2020-0002.xml?format=INT