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Metzler/Zeta Correspondence.

Authors :
Ide, Yusuke
Komatsu, Takashi
Konno, Norio
Sato, Iwao
Source :
Discrete Mathematics. Aug2023, Vol. 346 Issue 8, pN.PAG-N.PAG. 1p.
Publication Year :
2023

Abstract

We present a formula for determinants on the Metzler matrices of digraphs. Furthermore, we introduce a walk-type zeta function with respect to this Metzler matrix of a finite torus graph and express its limit formula by using the integral expression. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*ZETA functions
*TORUS

Details

Language :
English
ISSN :
0012365X
Volume :
346
Issue :
8
Database :
Academic Search Index
Journal :
Discrete Mathematics
Publication Type :
Academic Journal
Accession number :
163931652
Full Text :
https://doi.org/10.1016/j.disc.2023.113418