Extremal $ABS$ Spectral Radius in Bicyclic and Bipartite Unicyclic Graphs
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909977512247296 |
|---|---|
| author | Shetty, Swathi Rakshith, B. R. N. V, Sayinath Udupa |
| author_facet | Shetty, Swathi Rakshith, B. R. N. V, Sayinath Udupa |
| contents | The ABS spectral radius of a graph G is defined as the largest eigenvalue of its $ABS$ matrix. Motivated by recent studies on this parameter, in this paper, we determine the bipartite unicyclic graphs that attain the largest $ABS$ spectral radius. Furthermore, we characterize the bicyclic graphs that attain the largest and the second largest $ABS$ spectral radii. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23209 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extremal $ABS$ Spectral Radius in Bicyclic and Bipartite Unicyclic Graphs Shetty, Swathi Rakshith, B. R. N. V, Sayinath Udupa Combinatorics 05C50 The ABS spectral radius of a graph G is defined as the largest eigenvalue of its $ABS$ matrix. Motivated by recent studies on this parameter, in this paper, we determine the bipartite unicyclic graphs that attain the largest $ABS$ spectral radius. Furthermore, we characterize the bicyclic graphs that attain the largest and the second largest $ABS$ spectral radii. |
| title | Extremal $ABS$ Spectral Radius in Bicyclic and Bipartite Unicyclic Graphs |
| topic | Combinatorics 05C50 |
| url | https://arxiv.org/abs/2512.23209 |