On the generalized ABC index of graphs

Kinkar Chandra Das; José M. Rodríguez; José M. Sigarreta

doi:10.46793/match.87-1.147D

On the generalized ABC index of graphs

Kinkar Chandra Das
, José M. Rodríguez
, José M. Sigarreta

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

The atom-bond connectivity and the generalized atom-bond connectivity indices have shown to be useful in the QSPR/QSAR researches. In particular, the atom-bond connectivity index has been applied to study the stability of alkanes and the strain energy of cycloalkanes. In this paper we obtain some bounds on these indices in terms of graph parameters. To obtain these bounds we use the mathematical tools from analysis. Some of these bounds for ABC_α improve, when α = 1/2, known results on the ABC index.

Original language	English
Pages (from-to)	147-169
Number of pages	23
Journal	Match
Volume	87
Issue number	1
DOIs	https://doi.org/10.46793/match.87-1.147D
State	Published - 2022

Access to Document

10.46793/match.87-1.147D

Cite this

@article{d5a53aec672243be9848a9c7a7f7fcbf,

title = "On the generalized ABC index of graphs",

abstract = "The atom-bond connectivity and the generalized atom-bond connectivity indices have shown to be useful in the QSPR/QSAR researches. In particular, the atom-bond connectivity index has been applied to study the stability of alkanes and the strain energy of cycloalkanes. In this paper we obtain some bounds on these indices in terms of graph parameters. To obtain these bounds we use the mathematical tools from analysis. Some of these bounds for ABCα improve, when α = 1/2, known results on the ABC index.",

author = "Das, \{Kinkar Chandra\} and Rodr{\'i}guez, \{Jos{\'e} M.\} and Sigarreta, \{Jos{\'e} M.\}",

year = "2022",

doi = "10.46793/match.87-1.147D",

language = "English",

volume = "87",

pages = "147--169",

journal = "Match",

issn = "0340-6253",

publisher = "University of Kragujevac, Faculty of Science",

number = "1",

}

TY - JOUR

T1 - On the generalized ABC index of graphs

AU - Das, Kinkar Chandra

AU - Rodríguez, José M.

AU - Sigarreta, José M.

PY - 2022

Y1 - 2022

N2 - The atom-bond connectivity and the generalized atom-bond connectivity indices have shown to be useful in the QSPR/QSAR researches. In particular, the atom-bond connectivity index has been applied to study the stability of alkanes and the strain energy of cycloalkanes. In this paper we obtain some bounds on these indices in terms of graph parameters. To obtain these bounds we use the mathematical tools from analysis. Some of these bounds for ABCα improve, when α = 1/2, known results on the ABC index.

AB - The atom-bond connectivity and the generalized atom-bond connectivity indices have shown to be useful in the QSPR/QSAR researches. In particular, the atom-bond connectivity index has been applied to study the stability of alkanes and the strain energy of cycloalkanes. In this paper we obtain some bounds on these indices in terms of graph parameters. To obtain these bounds we use the mathematical tools from analysis. Some of these bounds for ABCα improve, when α = 1/2, known results on the ABC index.

UR - https://www.scopus.com/pages/publications/85116644616

U2 - 10.46793/match.87-1.147D

DO - 10.46793/match.87-1.147D

M3 - Article

AN - SCOPUS:85116644616

SN - 0340-6253

VL - 87

SP - 147

EP - 169

JO - Match

JF - Match

IS - 1

ER -

On the generalized ABC index of graphs

Abstract

Access to Document

Other files and links

Fingerprint

Cite this