A generalized Bartholdi zeta function for a regular covering of a bipartite graph
| Autor: | Iwao Sato, Seiken Saito |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Discrete mathematics
Hypergraph Numerical Analysis Algebra and Number Theory Complete bipartite graph Riemann zeta function Computer Science::Multiagent Systems Combinatorics Arithmetic zeta function symbols.namesake Edge-transitive graph symbols Bipartite graph Discrete Mathematics and Combinatorics Geometry and Topology Mathematics |
| Zdroj: | Linear Algebra and its Applications. 438(3):1025-1056 |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/j.laa.2012.09.007 |
| Popis: | Recently, Sato [13] introduced a generalized Bartholdi zeta function of a bipartite graph, and presented three determinant expressions of it. At first, we present a decomposition formula for the generalized Bartholdi zeta function of a regular covering of a bipartite graph G. Furthermore, we introduce a generalized Bartholdi L-function of G, and give three determinant expressions of it. As applications, we present three types of decomposition formulas for the generalized Bartholdi zeta function of a regular covering of G by its generalized Bartholdi L-functions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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