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Zeta functions from graphs
- Source :
- AKCE International Journal of Graphs and Combinatorics, Vol 15, Iss 2, Pp 224-228 (2018)
- Publication Year :
- 2018
- Publisher :
- Taylor & Francis Group, 2018.
-
Abstract
- The location of the nontrivial poles of a generalized zeta function is derived from the spectrum of Ramanujan graphs and bounds are established for irregular graphs. The existence of a similarity transformation of the diagonal matrix given by a specified set of eigenvalues to an adjacency matrix of a graph is proven, and the method yields a set of finite graphs with eigenvalues determined approximately by a finite subset of the poles of the Ihara zeta function.
- Subjects :
- graph
zeta function
adjacency matrix
eigenvalues
Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 09728600
- Volume :
- 15
- Issue :
- 2
- Database :
- Directory of Open Access Journals
- Journal :
- AKCE International Journal of Graphs and Combinatorics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.b2c0eb8810274956b25fefdb75b5dd60
- Document Type :
- article
- Full Text :
- https://doi.org/10.1016/j.akcej.2017.09.007