Name
Abstract | ||
|---|---|---|
Recently, Smilansky expressed the determinant of the bond scattering matrix of a graph by means of the determinant of its Laplacian. We present another proof for this Smilansky's formula by using some weighted zeta function of a graph. Furthermore, we reprove a weighted version of Smilansky's formula by Bass' method used in the determinant expression for the Ihara zeta function of a graph. |
Year | Venue | Keywords |
|---|---|---|
2008 | ELECTRONIC JOURNAL OF COMBINATORICS | zeta function,scattering matrix |
Field | DocType | Volume |
Adjacency matrix,Discrete mathematics,Laplacian matrix,Combinatorics,Riemann zeta function,Matrix (mathematics),Ihara zeta function,Arithmetic zeta function,Degree matrix,Mathematics,Laplace operator | Journal | 15.0 |
Issue | ISSN | Citations |
1.0 | 1077-8926 | 2 |
PageRank | References | Authors |
0.44 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hirobumi Mizuno | 1 | 80 | 18.63 |
| Iwao Sato | 2 | 75 | 22.91 |