Randić index and information

The Randić index R G is one of the classical graph-based molecular structure descriptors that found countless applications in chemistry and pharmacology. The mathematical background of this index is also well elaborated. We now point out a hitherto unnoticed feature of R G , namely its connection wi...

Full description

Bibliographic Details
Main Authors: Ivan Gutman, Boris Furtula, Vladimir Katanić
Format: Article
Language:English
Published: Taylor & Francis Group 2018-12-01
Series:AKCE International Journal of Graphs and Combinatorics
Online Access:http://www.sciencedirect.com/science/article/pii/S0972860017301408
_version_ 1811210698003316736
author Ivan Gutman
Boris Furtula
Vladimir Katanić
author_facet Ivan Gutman
Boris Furtula
Vladimir Katanić
author_sort Ivan Gutman
collection DOAJ
description The Randić index R G is one of the classical graph-based molecular structure descriptors that found countless applications in chemistry and pharmacology. The mathematical background of this index is also well elaborated. We now point out a hitherto unnoticed feature of R G , namely its connection with the degree-based information content of a (molecular) graph. This connection is based on the linear correlation betweenR G and the logarithm of the multiplicative version of the Randić index. Keywords: Randić index, Information content of molecular graph, Multiplicative Randić index
first_indexed 2024-04-12T05:00:07Z
format Article
id doaj.art-602231c08bb74b1cae844967bd4c9965
institution Directory Open Access Journal
issn 0972-8600
language English
last_indexed 2024-04-12T05:00:07Z
publishDate 2018-12-01
publisher Taylor & Francis Group
record_format Article
series AKCE International Journal of Graphs and Combinatorics
spelling doaj.art-602231c08bb74b1cae844967bd4c99652022-12-22T03:47:01ZengTaylor & Francis GroupAKCE International Journal of Graphs and Combinatorics0972-86002018-12-01153307312Randić index and informationIvan Gutman0Boris Furtula1Vladimir Katanić2Faculty of Science, University of Kragujevac, P. O. Box 60, 34000 Kragujevac, SerbiaCorresponding author.; Faculty of Science, University of Kragujevac, P. O. Box 60, 34000 Kragujevac, SerbiaFaculty of Science, University of Kragujevac, P. O. Box 60, 34000 Kragujevac, SerbiaThe Randić index R G is one of the classical graph-based molecular structure descriptors that found countless applications in chemistry and pharmacology. The mathematical background of this index is also well elaborated. We now point out a hitherto unnoticed feature of R G , namely its connection with the degree-based information content of a (molecular) graph. This connection is based on the linear correlation betweenR G and the logarithm of the multiplicative version of the Randić index. Keywords: Randić index, Information content of molecular graph, Multiplicative Randić indexhttp://www.sciencedirect.com/science/article/pii/S0972860017301408
spellingShingle Ivan Gutman
Boris Furtula
Vladimir Katanić
Randić index and information
AKCE International Journal of Graphs and Combinatorics
title Randić index and information
title_full Randić index and information
title_fullStr Randić index and information
title_full_unstemmed Randić index and information
title_short Randić index and information
title_sort randic index and information
url http://www.sciencedirect.com/science/article/pii/S0972860017301408
work_keys_str_mv AT ivangutman randicindexandinformation
AT borisfurtula randicindexandinformation
AT vladimirkatanic randicindexandinformation