Name
Abstract | ||
|---|---|---|
We introduce a new type of the Bartholdi zeta function of a digraph D. Furthermore, we define a new type of the Bartholdi L-function of D, and give a determinant expression of it. We show that this L-function of D is equal to the L-function of D defined in [H. Mizuno, I. Sato, A new Bartholdi zeta function of a digraph, Linear Algebra Appl. 423 (2007) 498-511]. As a corollary, we obtain a decomposition formula for a new type of the Bartholdi zeta function of a group covering of D by new Bartholdi L-functions of D. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.disc.2008.09.030 | Discrete Mathematics |
Keywords | Field | DocType |
l -function,digraph covering,zeta function,l-function,l function,linear algebra,l | Discrete mathematics,Linear algebra,Combinatorics,Riemann zeta function,L-function,Directed graph,Decomposition method (constraint satisfaction),Corollary,Mathematics,Digraph | Journal |
Volume | Issue | ISSN |
309 | 10 | Discrete Mathematics |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hirobumi Mizuno | 1 | 80 | 18.63 |
| Iwao Sato | 2 | 75 | 22.91 |