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
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author Das, Kinkar Ch.
Mohammed, Mohanad Ali
Gutman, Ivan
Mohd Atan, Kamel Ariffin
author_facet Das, Kinkar Ch.
Mohammed, Mohanad Ali
Gutman, Ivan
Mohd Atan, Kamel Ariffin
author_sort Das, Kinkar Ch.
collection UPM
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.
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spelling 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
spellingShingle Das, Kinkar Ch.
Mohammed, Mohanad Ali
Gutman, Ivan
Mohd Atan, Kamel Ariffin
Comparison between atom-bond connectivity indices of graphs
title 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_short Comparison between atom-bond connectivity indices of graphs
title_sort comparison between atom bond connectivity indices of graphs
url http://psasir.upm.edu.my/id/eprint/29176/1/Comparison%20between%20atom-bond%20connectivity%20indices%20of%20graphs.pdf
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