Articles with "given degree" as a keyword



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On the ABC index of connected graphs with given degree sequences

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Published in 2017 at "Journal of Mathematical Chemistry"

DOI: 10.1007/s10910-017-0802-4

Abstract: The atom-bond connectivity (ABC) index of a graph G is defined to be $$ABC(G)=\sum _{uv\in E(G)}\sqrt{\frac{d(u)+d(v)-2}{d(u)d(v)}}$$ABC(G)=∑uv∈E(G)d(u)+d(v)-2d(u)d(v) where d(u) is the degree of a vertex u. The ABC index plays a key role in correlating the… read more here.

Keywords: index; graphs given; given degree; index connected ... See more keywords