Some bounds on the modified Randic index
In this paper, we present some new lower and upper bounds for the modified Randic index in terms of maximum, minimum degree, girth, algebraic connectivity, diameter and average distance. Also we obtained relations between this index with Harmonic and Atom-bond connectivity indices. Finally, as an ap...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Kragujevac, Faculty of Science
2015-01-01
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| Series: | Kragujevac Journal of Science |
| Subjects: | |
| Online Access: | http://scindeks-clanci.ceon.rs/data/pdf/1450-9636/2015/1450-96361537079M.pdf |
| _version_ | 1811291070334500864 |
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| author | Mahsa Hemmasi Ali Iranmanesh |
| author_facet | Mahsa Hemmasi Ali Iranmanesh |
| author_sort | Mahsa Hemmasi |
| collection | DOAJ |
| description | In this paper, we present some new lower and upper bounds for the modified Randic index in terms of maximum, minimum degree, girth, algebraic connectivity, diameter and average distance. Also we obtained relations between this index with Harmonic and Atom-bond connectivity indices. Finally, as an application we computed this index for some classes of nano-structures and linear chains. |
| first_indexed | 2024-04-13T04:22:55Z |
| format | Article |
| id | doaj.art-341056941c3343b480733bdd0483c1b3 |
| institution | Directory Open Access Journal |
| issn | 1450-9636 2466-5509 |
| language | English |
| last_indexed | 2024-04-13T04:22:55Z |
| publishDate | 2015-01-01 |
| publisher | University of Kragujevac, Faculty of Science |
| record_format | Article |
| series | Kragujevac Journal of Science |
| spelling | doaj.art-341056941c3343b480733bdd0483c1b32022-12-22T03:02:39ZengUniversity of Kragujevac, Faculty of ScienceKragujevac Journal of Science1450-96362466-55092015-01-01201537799010.5937/KgJSci1537079M1450-96361537079MSome bounds on the modified Randic indexMahsa Hemmasi0Ali Iranmanesh1Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, I.R.IranDepartment of Mathematics, Tarbiat Modares University, Tehran, I.R.IranIn this paper, we present some new lower and upper bounds for the modified Randic index in terms of maximum, minimum degree, girth, algebraic connectivity, diameter and average distance. Also we obtained relations between this index with Harmonic and Atom-bond connectivity indices. Finally, as an application we computed this index for some classes of nano-structures and linear chains.http://scindeks-clanci.ceon.rs/data/pdf/1450-9636/2015/1450-96361537079M.pdfRandic indexgirthharmonic indexABC indexalgebraic connectivityaverage distance |
| spellingShingle | Mahsa Hemmasi Ali Iranmanesh Some bounds on the modified Randic index Kragujevac Journal of Science Randic index girth harmonic index ABC index algebraic connectivity average distance |
| title | Some bounds on the modified Randic index |
| title_full | Some bounds on the modified Randic index |
| title_fullStr | Some bounds on the modified Randic index |
| title_full_unstemmed | Some bounds on the modified Randic index |
| title_short | Some bounds on the modified Randic index |
| title_sort | some bounds on the modified randic index |
| topic | Randic index girth harmonic index ABC index algebraic connectivity average distance |
| url | http://scindeks-clanci.ceon.rs/data/pdf/1450-9636/2015/1450-96361537079M.pdf |
| work_keys_str_mv | AT mahsahemmasi someboundsonthemodifiedrandicindex AT aliiranmanesh someboundsonthemodifiedrandicindex |