DC Field | Value | Language |
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dc.contributor.author | Choe, YB | - |
dc.contributor.author | Kwak, JH | - |
dc.contributor.author | Park, YS | - |
dc.contributor.author | Sato, I | - |
dc.date.accessioned | 2016-04-01T01:36:23Z | - |
dc.date.available | 2016-04-01T01:36:23Z | - |
dc.date.created | 2009-02-28 | - |
dc.date.issued | 2007-08-20 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.other | 2007-OAK-0000006982 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/23306 | - |
dc.description.abstract | Since a zeta function of a regular graph was introduced by Ihara [Y. Ihara, On discrete subgroups of the two by two projective linear group over rho-adic fields, J. Math. Soc. Japan 19 (1966) 219-235], many kinds of zeta functions and L-functions of a graph or a digraph have been defined and investigated. Most of the works concerning zeta and L-functions of a graph contain the following: (1) defining a zeta function, (2) defining an L-function associated with a (regular) graph covering, (3) providing their determinant expressions, and (4) computing the zeta function of a graph covering and obtaining its decomposition formula as a product of L-functions. As a continuation of those works, we introduce a zeta function of a weighted digraph and an L-function associated with a weighted digraph bundle. A graph bundle is a notion containing a cartesian product of graphs and a (regular or irregular) graph covering. Also we provide determinant expressions of the zeta function and the L-function. Moreover, we compute the zeta function of a weighted digraph bundle and obtain its decomposition formula as a product of the L-functions. (c) 2007 Elsevier Inc. All rights reserved. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.relation.isPartOf | ADVANCES IN MATHEMATICS | - |
dc.title | BARTHOLDI ZETA AND L-FUNCTIONS OF WEIGHTED DIGRAPHS, THEIR COVERINGS AND PRODUCTS | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1016/J.AIM.2007.0 | - |
dc.author.google | Choe, YB | - |
dc.author.google | Kwak, JH | - |
dc.author.google | Park, YS | - |
dc.author.google | Sato, I | - |
dc.relation.volume | 213 | - |
dc.relation.issue | 2 | - |
dc.relation.startpage | 865 | - |
dc.relation.lastpage | 886 | - |
dc.contributor.id | 10069685 | - |
dc.relation.journal | ADVANCES IN MATHEMATICS | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | ADVANCES IN MATHEMATICS, v.213, no.2, pp.865 - 886 | - |
dc.identifier.wosid | 000247803800013 | - |
dc.date.tcdate | 2019-01-01 | - |
dc.citation.endPage | 886 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 865 | - |
dc.citation.title | ADVANCES IN MATHEMATICS | - |
dc.citation.volume | 213 | - |
dc.contributor.affiliatedAuthor | Kwak, JH | - |
dc.identifier.scopusid | 2-s2.0-34248326493 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 4 | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | GRAPH COVERINGS | - |
dc.subject.keywordPlus | FINITE GRAPHS | - |
dc.subject.keywordPlus | BUNDLES | - |
dc.subject.keywordAuthor | zeta function | - |
dc.subject.keywordAuthor | digraph | - |
dc.subject.keywordAuthor | graph covering | - |
dc.subject.keywordAuthor | graph bundle | - |
dc.subject.keywordAuthor | group representation | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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