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- W2807997898 abstract "The atom-bond connectivity (ABC) index of a graph G=(V,E) is defined as ABC(G)=∑uv∈E(G)du+dv−2dudv,where du,dv are the degrees of the vertices u and v in G, respectively. In this paper, we prove that among all n-vertex graphs with given chromatic number χ≥3, the Turán graph Tn,χ is the unique graph having the maximum ABC index, which completely confirms a conjecture posed in Zhang et al. (2016)." @default.
- W2807997898 created "2018-06-21" @default.
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- W2807997898 date "2018-12-01" @default.
- W2807997898 modified "2023-10-09" @default.
- W2807997898 title "Solution to a conjecture on the maximum <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=mml1 display=inline overflow=scroll altimg=si1.gif><mml:mi>A</mml:mi><mml:mi>B</mml:mi><mml:mi>C</mml:mi></mml:math> index of graphs with given chromatic number" @default.
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- W2807997898 doi "https://doi.org/10.1016/j.dam.2018.05.063" @default.
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