Comparison between atom-bond connectivity indices of graphs

The atom-bond connectivity index ABC is a much studied degree-based graph invariant with noteworthy applications in chemistry. Few years ago, a new distance-based variant of this index, ABCGG, was introduced. We establish relations between the two ABC-indices. In particular, we determine classes of...

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Main Authors: Das, Kinkar Ch., Mohammed, Mohanad Ali, Gutman, Ivan, Mohd Atan, Kamel Ariffin
Format: Article
Language:English
Published: Faculty of Science, University of Kragujevac 2016
Online Access:http://psasir.upm.edu.my/id/eprint/29176/1/Comparison%20between%20atom-bond%20connectivity%20indices%20of%20graphs.pdf
http://psasir.upm.edu.my/id/eprint/29176/
http://match.pmf.kg.ac.rs/content76n1.htm
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spelling my.upm.eprints.291762016-06-20T06:50:31Z http://psasir.upm.edu.my/id/eprint/29176/ Comparison between atom-bond connectivity indices of graphs Das, Kinkar Ch. Mohammed, Mohanad Ali Gutman, Ivan Mohd Atan, Kamel Ariffin The atom-bond connectivity index ABC is a much studied degree-based graph invariant with noteworthy applications in chemistry. Few years ago, a new distance-based variant of this index, ABCGG, was introduced. We establish relations between the two ABC-indices. In particular, we determine classes of graph for which ABC is greater than (resp. equal to or less than) ABCGG. Faculty of Science, University of Kragujevac 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/29176/1/Comparison%20between%20atom-bond%20connectivity%20indices%20of%20graphs.pdf Das, Kinkar Ch. and Mohammed, Mohanad Ali and Gutman, Ivan and Mohd Atan, Kamel Ariffin (2016) Comparison between atom-bond connectivity indices of graphs. MATCH Communications in Mathematical and in Computer Chemistry, 76 (1). pp. 159-170. ISSN 0340-6253 http://match.pmf.kg.ac.rs/content76n1.htm
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description The atom-bond connectivity index ABC is a much studied degree-based graph invariant with noteworthy applications in chemistry. Few years ago, a new distance-based variant of this index, ABCGG, was introduced. We establish relations between the two ABC-indices. In particular, we determine classes of graph for which ABC is greater than (resp. equal to or less than) ABCGG.
format Article
author Das, Kinkar Ch.
Mohammed, Mohanad Ali
Gutman, Ivan
Mohd Atan, Kamel Ariffin
spellingShingle Das, Kinkar Ch.
Mohammed, Mohanad Ali
Gutman, Ivan
Mohd Atan, Kamel Ariffin
Comparison between atom-bond connectivity indices of graphs
author_facet Das, Kinkar Ch.
Mohammed, Mohanad Ali
Gutman, Ivan
Mohd Atan, Kamel Ariffin
author_sort Das, Kinkar Ch.
title Comparison between atom-bond connectivity indices of graphs
title_short Comparison between atom-bond connectivity indices of graphs
title_full Comparison between atom-bond connectivity indices of graphs
title_fullStr Comparison between atom-bond connectivity indices of graphs
title_full_unstemmed Comparison between atom-bond connectivity indices of graphs
title_sort comparison between atom-bond connectivity indices of graphs
publisher Faculty of Science, University of Kragujevac
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/29176/1/Comparison%20between%20atom-bond%20connectivity%20indices%20of%20graphs.pdf
http://psasir.upm.edu.my/id/eprint/29176/
http://match.pmf.kg.ac.rs/content76n1.htm
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score 13.211869