On the maximal general ABC index of graphs with given maximum degree

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

doi:10.1016/j.amc.2020.125531

On the maximal general ABC index of graphs with given maximum degree

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

Department of Mathematics

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

12 Scopus citations

Abstract

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 correlation properties of the atom-bond connectivity index for the heat of formation of alkanes, Furtula et al. considered a generalization of this index, namely, [Formula presented] where d_v is the degree of the vertex v and uv denotes the edge connecting the vertices u and v of graph G. Here, we obtain some optimization results for ABC_α of the connected graph G.

Original language	English
Article number	125531
Journal	Applied Mathematics and Computation
Volume	386
DOIs	https://doi.org/10.1016/j.amc.2020.125531
State	Published - 1 Dec 2020

Keywords

ABC Index
Degree-based topological indices
Generalized ABC index
Optimization problems

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title = "On the maximal general ABC index of graphs with given maximum degree",

abstract = "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 correlation properties of the atom-bond connectivity index for the heat of formation of alkanes, Furtula et al. considered a generalization of this index, namely, [Formula presented] where dv is the degree of the vertex v and uv denotes the edge connecting the vertices u and v of graph G. Here, we obtain some optimization results for ABCα of the connected graph G.",

keywords = "ABC Index, Degree-based topological indices, Generalized ABC index, Optimization problems",

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

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2020",

month = dec,

day = "1",

doi = "10.1016/j.amc.2020.125531",

language = "English",

volume = "386",

journal = "Applied Mathematics and Computation",

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T1 - On the maximal general ABC index of graphs with given maximum degree

AU - Das, Kinkar Chandra

AU - Rodríguez, José M.

AU - Sigarreta, José M.

PY - 2020/12/1

Y1 - 2020/12/1

N2 - 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 correlation properties of the atom-bond connectivity index for the heat of formation of alkanes, Furtula et al. considered a generalization of this index, namely, [Formula presented] where dv is the degree of the vertex v and uv denotes the edge connecting the vertices u and v of graph G. Here, we obtain some optimization results for ABCα of the connected graph G.

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 correlation properties of the atom-bond connectivity index for the heat of formation of alkanes, Furtula et al. considered a generalization of this index, namely, [Formula presented] where dv is the degree of the vertex v and uv denotes the edge connecting the vertices u and v of graph G. Here, we obtain some optimization results for ABCα of the connected graph G.

KW - ABC Index

KW - Degree-based topological indices

KW - Generalized ABC index

KW - Optimization problems

UR - https://www.scopus.com/pages/publications/85088378496

U2 - 10.1016/j.amc.2020.125531

DO - 10.1016/j.amc.2020.125531

M3 - Article

AN - SCOPUS:85088378496

SN - 0096-3003

VL - 386

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

M1 - 125531

ER -

On the maximal general ABC index of graphs with given maximum degree

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Keywords

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