Name
Abstract | ||
|---|---|---|
We give the (Ahumada type) Selberg trace formula for a semiregular bipartite graph G. Furthermore, we discuss the distribution on arguments of poles of zeta functions of semiregular bipartite graphs. As an application, we present two analogs of the semicircle law for the distribution of eigenvalues of specified regular subgraphs of semiregular bipartite graphs. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1016/S0097-3165(02)00010-9 | J. Comb. Theory, Ser. A |
Keywords | Field | DocType |
semiregular graph,zeta function,semiregular bipartite graph,semicircle law,ahumada type,selberg trace formula,specified regular subgraphs,bipartite graph | Discrete mathematics,Complete bipartite graph,Combinatorics,Riemann zeta function,Biregular graph,Bipartite graph,Law,Mathematics,Eigenvalues and eigenvectors,Selberg trace formula | Journal |
Volume | Issue | ISSN |
101 | 2 | Journal of Combinatorial Theory, Series A |
Citations | PageRank | References |
2 | 0.56 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hirobumi Mizuno | 1 | 80 | 18.63 |
| Iwao Sato | 2 | 75 | 22.91 |