The Ihara expression for the generalized weighted zeta function of a finite simple graph
| Autor: | Hideaki Morita, Yusuke Ide, Iwao Sato, Ayaka Ishikawa, Etsuo Segwa |
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| Rok vydání: | 2021 |
| Předmět: |
Numerical Analysis
Algebra and Number Theory Simple graph Mathematics::Number Theory 010102 general mathematics 010103 numerical & computational mathematics 01 natural sciences Graph Expression (mathematics) Riemann zeta function Combinatorics symbols.namesake Simple (abstract algebra) symbols Discrete Mathematics and Combinatorics Geometry and Topology 0101 mathematics Mathematics |
| Zdroj: | Linear Algebra and its Applications. 627:227-241 |
| ISSN: | 0024-3795 |
| Popis: | Graph zeta functions have two kinds of determinant expressions, the Hashimoto expression and the Ihara expression. The main theorem of the present article gives the Ihara expression for graph zeta functions with a certain generalized weight. It unifies all the Ihara expressions known for the existing zeta functions of finite simple graphs. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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