Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
d-regular graphs
|
| gptkbp:concerns |
eigenvalues of graphs
|
| gptkbp:field |
gptkb:spectral_graph_theory
gptkb:mathematics |
| https://www.w3.org/2000/01/rdf-schema#label |
Alon-Boppana theorem
|
| gptkbp:implies |
Ramanujan graphs are optimal expanders
|
| gptkbp:namedAfter |
gptkb:Noga_Alon
gptkb:Raoul_Boppana |
| gptkbp:publishedIn |
1987
|
| gptkbp:state |
the second largest eigenvalue of a d-regular graph is at least 2*sqrt(d-1)-o(1) as the number of vertices grows
|
| gptkbp:bfsParent |
gptkb:Ramanujan_graphs
|
| gptkbp:bfsLayer |
7
|