\(L\)-functions for images of graph coverings by some operations
type: Item
instance of: scholarly article
title: \(L\)-functions for images of graph coverings by some operations
zbMATH Open document ID: 1015.05076
DOI: 10.1016/S0012-365X(01)00439-3
author: Hirobumi Mizuno
author: Iwao Sato
published in: Discrete Mathematics
publication date: 2002-12-02T00:00:00Z
review text: The authors introduced \(L\)-functions in their paper [\(L\)-functions of graph coverings, JP J. Algebra Number Theory Appl. 1, 235-250 (2001; Zbl 1005.05023)]. In the present paper they express the \(L\)-functions of the line graph and the middle graph of a regular covering of a regular graph \(G\) by using some characteristic polynomials. As a corollary, they express the zeta functions of the line graph and the middle graph of a regular covering of \(G\) by using the characteristic polynomial of that regular covering.
reviewed by: Dara Moazzami
Mathematics Subject Classification ID: 05C70
Mathematics Subject Classification ID: 11M41
zbMATH DE Number: 1838929
zbMATH Keywords: line graph
zbMATH Keywords: middle graph
zbMATH Keywords: characteristic polynomial
zbMATH Keywords: regular covering
MaRDI profile type: Publication
full work available at URL: s0012-365x(01)00439-3
OpenAlex ID: W2029875413
Recommended article: Q3149112
Recommended article: \(L\)-functions of regular coverings of graphs.
Recommended article: Some \(L\)-function of a regular covering of a graph
Recommended article: Zeta functions for images of graph coverings by some operations
Recommended article: Q4550212
Recommended article: Laplacian of a graph covering and its applications
Recommended article: The L(2,1)-labeling and operations of graphs
Recommended article: The covering law in orthomodular lattices generated by graphs of functions
Recommended article: Graph coverings and twisted operators
Recommended article: Ω-Covers of Graphs
description: scientific article; zbMATH DE number 1838929