On distance spectral radius of power hypertrees with given number of pendant paths of fixed length
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910207584501760 |
|---|---|
| author | Wang, Yanna Qi, Xuli |
| author_facet | Wang, Yanna Qi, Xuli |
| contents | The distance spectral radius of a connected hypergraph is the largest eigenvalue of the distance matrix of the hypergraph. A pendant path of length l with l greater than or equal to 1 in a hypergraph G at vertex v sub l plus 1 is a path consisting of vertices and edges v1 e1 v2 up to vl el v(l+1). The vertex v(l+1) has degree at least 2, vertex v1 has degree 1, and each vertex vi has degree 2 for i from 2 to l. Every vertex belonging to edge ei except vi and v(i+1) has degree 1 for all i from 1 to l. We find the unique hypertree that maximizes or minimizes the distance spectral radius among all r-th power hypertrees with m edges and k pendant paths of length l, where r is no less than 3, k and l are no less than 1, and the product of k and l is smaller than m. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_09873 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On distance spectral radius of power hypertrees with given number of pendant paths of fixed length Wang, Yanna Qi, Xuli Combinatorics The distance spectral radius of a connected hypergraph is the largest eigenvalue of the distance matrix of the hypergraph. A pendant path of length l with l greater than or equal to 1 in a hypergraph G at vertex v sub l plus 1 is a path consisting of vertices and edges v1 e1 v2 up to vl el v(l+1). The vertex v(l+1) has degree at least 2, vertex v1 has degree 1, and each vertex vi has degree 2 for i from 2 to l. Every vertex belonging to edge ei except vi and v(i+1) has degree 1 for all i from 1 to l. We find the unique hypertree that maximizes or minimizes the distance spectral radius among all r-th power hypertrees with m edges and k pendant paths of length l, where r is no less than 3, k and l are no less than 1, and the product of k and l is smaller than m. |
| title | On distance spectral radius of power hypertrees with given number of pendant paths of fixed length |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2605.09873 |