On Generalized Topological Indices for Some Special Graphs
Topological indices are numeric values associated with a graph and characterize its structure. There are various topological indices in graph theory such as degree-based, distance-based, and counting-related topological indices. Among these indices, degree-based indices are very interesting and stud...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1369490 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850172840836333568 |
|---|---|
| author | Sheeba Afridi Muhammad Yasin Khan Gohar ALi |
| author_facet | Sheeba Afridi Muhammad Yasin Khan Gohar ALi |
| author_sort | Sheeba Afridi |
| collection | DOAJ |
| description | Topological indices are numeric values associated with a graph and characterize its structure. There are various topological indices in graph theory such as degree-based, distance-based, and counting-related topological indices. Among these indices, degree-based indices are very interesting and studied well in literature. In this work, we studied the generalized form of harmonic, geometric-arithmetic, Kulli–Basava indices, and generalized power-sum-connectivity index for special graph that are bridge graph over path, bridge graph over cycle, bridge graph over complete graph, wheel graph, gear graph, helm graph, and square lattice graph. We found exact values for the stated indices and for the stated special graphs. We also investigated the generalized form of the indices for various properties of alkane isomers, from which we obtained interesting results which are closed to that of experimental obtained results. |
| format | Article |
| id | doaj-art-d52353348ff646578228a65e5ff1a71d |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d52353348ff646578228a65e5ff1a71d2025-08-20T02:19:58ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1369490On Generalized Topological Indices for Some Special GraphsSheeba Afridi0Muhammad Yasin Khan1Gohar ALi2Department of MathematicsDepartment of MathematicsDepartment of MathematicsTopological indices are numeric values associated with a graph and characterize its structure. There are various topological indices in graph theory such as degree-based, distance-based, and counting-related topological indices. Among these indices, degree-based indices are very interesting and studied well in literature. In this work, we studied the generalized form of harmonic, geometric-arithmetic, Kulli–Basava indices, and generalized power-sum-connectivity index for special graph that are bridge graph over path, bridge graph over cycle, bridge graph over complete graph, wheel graph, gear graph, helm graph, and square lattice graph. We found exact values for the stated indices and for the stated special graphs. We also investigated the generalized form of the indices for various properties of alkane isomers, from which we obtained interesting results which are closed to that of experimental obtained results.http://dx.doi.org/10.1155/2022/1369490 |
| spellingShingle | Sheeba Afridi Muhammad Yasin Khan Gohar ALi On Generalized Topological Indices for Some Special Graphs Journal of Mathematics |
| title | On Generalized Topological Indices for Some Special Graphs |
| title_full | On Generalized Topological Indices for Some Special Graphs |
| title_fullStr | On Generalized Topological Indices for Some Special Graphs |
| title_full_unstemmed | On Generalized Topological Indices for Some Special Graphs |
| title_short | On Generalized Topological Indices for Some Special Graphs |
| title_sort | on generalized topological indices for some special graphs |
| url | http://dx.doi.org/10.1155/2022/1369490 |
| work_keys_str_mv | AT sheebaafridi ongeneralizedtopologicalindicesforsomespecialgraphs AT muhammadyasinkhan ongeneralizedtopologicalindicesforsomespecialgraphs AT goharali ongeneralizedtopologicalindicesforsomespecialgraphs |