On the ABC index of connected graphs with given degree sequences
Sign Up to like & getrecommendations! 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
On atom-bond connectivity index of graphs
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.06.069
Abstract: Abstract The atom-bond connectivity index (ABC-index) is a useful topological index employed in studying the stability of alkanes and the strain energy of cycloalkanes. The ABC-index of a nontrivial graph G, denoted by A B… read more here.
Keywords: bond connectivity; atom bond; abc index; connectivity index ... See more keywords