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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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Faculty of Science, University of Kragujevac
2016
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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. |
first_indexed | 2024-03-06T08:13:44Z |
format | Article |
id | upm.eprints-29176 |
institution | Universiti Putra Malaysia |
language | English |
last_indexed | 2024-03-06T08:13:44Z |
publishDate | 2016 |
publisher | Faculty of Science, University of Kragujevac |
record_format | dspace |
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 |
work_keys_str_mv | AT daskinkarch comparisonbetweenatombondconnectivityindicesofgraphs AT mohammedmohanadali comparisonbetweenatombondconnectivityindicesofgraphs AT gutmanivan comparisonbetweenatombondconnectivityindicesofgraphs AT mohdatankamelariffin comparisonbetweenatombondconnectivityindicesofgraphs |