RT Journal Article
T1 On the maximal general ABC index of graphs with given maximum degree
A1 Das, Kinkar Chandra
A1 Rodríguez García, José Manuel
A1 Sigarreta Almira, José María
AB The atom-bond connectivity index ABC is a topological index that has recently found remarkable applications in the study of the strain energy of cycloalkanes as well as in rationalizing the stability of linear and branched alkanes. In order to improve the correlationproperties of the atom-bond connectivity index for the heat of formation of alkanes, Furtula et al. considered a generalization of this index, namely,ABCα = ABCα (G) =uv∈E(G) du + dv − 2dudv αfor any α ∈ R \ {0},where dv is the degree of the vertex v and uv denotes the edge connecting the verticesu and v of graph G. Here, we obtain some optimization results for ABCα of the connectedgraph G.
PB Elsevier
SN 0096-3003
YR 2020
FD 2020-12-01
LK https://hdl.handle.net/10016/33859
UL https://hdl.handle.net/10016/33859
LA eng
NO The authors are grateful to the referees for their valuable comments on our manuscript, which have considerably improved the presentation of this paper. This work was supported in part by two grants from Ministerio de Economía y Competititvidad, Agencia Estatal de Investigación (AEI) and Fondo Europeo de Desarrollo Regional (FEDER) (MTM2016-78227-C2-1-P and MTM2017-90584-REDT), Spain, and a grant from Agencia Estatal de Investigación (PID2019-106433GB-I00 / AEI / 10.13039/50110 0 011033), Spain.
DS e-Archivo
RD 1 sept. 2024