On the α-Spectral Radius of Uniform Hypergraphs
For 0 1 and a uniform hypergraph , the -spectral radius of is the largest -eigenvalue of )+(1 ), where ) and ) are the diagonal tensor of degrees and the adjacency tensor of , respectively. We give upper bounds for the -spectral radius of a uniform hypergraph, propose some transformations that incre...
Gespeichert in:
| Veröffentlicht in: | Discussiones Mathematicae. Graph Theory 2020-05, Vol.40 (2), p.559-575 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | For 0
1 and a uniform hypergraph
, the
-spectral radius of
is the largest
-eigenvalue of
)+(1
), where
) and
) are the diagonal tensor of degrees and the adjacency tensor of
, respectively. We give upper bounds for the
-spectral radius of a uniform hypergraph, propose some transformations that increase the
-spectral radius, and determine the unique hypergraphs with maximum
-spectral radius in some classes of uniform hypergraphs. |
|---|---|
| ISSN: | 1234-3099 2083-5892 |
| DOI: | 10.7151/dmgt.2268 |