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Title: On atom-bond connectivity index
Authors: das, kinkar
Gutman I.
Furtula, Boris
Journal: Chemical Physics Letters
Issue Date: 5-Aug-2011
Abstract: The atom-bond connectivity index (ABC) is a molecular structure descriptor that recently found a remarkable application in rationalizing the stability of linear and branched alkanes as well as the strain energy of cycloalkanes. Let G be a molecular graph, di the degree of its vertex i, and ij the edge connecting the vertices i and j. Then ABC=∑ij(di+ di-2)/(didj). Several properties of ABC are established. In particular, if a new edge is inserted into G, then ABC necessarily increases. By means of this result we characterize the graphs extremal w.r.t. ABC. © 2011 Elsevier B.V. All rights reserved.
Type: Article
DOI: 10.1016/j.cplett.2011.06.049
ISSN: 00092614
SCOPUS: 79960929524
Appears in Collections:Faculty of Science, Kragujevac
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