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New Bounds for Topological Indices on Trees through Generalized Methods
| Content Provider | MDPI |
|---|---|
| Author | Álvaro Martínez-Pérez, Jos, é M. Rodríguez |
| Copyright Year | 2020 |
| Description | Topological indices are useful for predicting the physicochemical behavior of chemical compounds. A main problem in this topic is finding good bounds for the indices, usually when some parameters of the graph are known. The aim of this paper is to use a unified approach in order to obtain several new inequalities for a wide family of topological indices restricted to trees and to characterize the corresponding extremal trees. The main results give upper and lower bounds for a large class of topological indices on trees, fixing or not the maximum degree. This class includes the first variable Zagreb, the Narumi–Katayama, the modified Narumi–Katayama and the Wiener index. |
| Starting Page | 1097 |
| e-ISSN | 20738994 |
| DOI | 10.3390/sym12071097 |
| Journal | Symmetry |
| Issue Number | 7 |
| Volume Number | 12 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2020-07-02 |
| Access Restriction | Open |
| Subject Keyword | Symmetry Logic First Variable Zagreb Index Narumi–katayama Index Modified Narumi–katayama Index Wiener Index Topological Indices Schur-convexity Trees |
| Content Type | Text |
| Resource Type | Article |
