The exponent of Cartesian product of cycles
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Byeong Moon | - |
dc.contributor.author | Song, Byung Chul | - |
dc.contributor.author | Hwang, Woonjae | - |
dc.date.accessioned | 2021-09-08T18:33:05Z | - |
dc.date.available | 2021-09-08T18:33:05Z | - |
dc.date.created | 2021-06-10 | - |
dc.date.issued | 2009-04 | - |
dc.identifier.issn | 0893-9659 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/120354 | - |
dc.description.abstract | A digraph D is primitive if for each pair of vertices v, w of D, there is a positive integer k such that there is a directed walk of length k from v to w. The minimum of such k is the exponent of D. In this paper, we show that fora primitive graph G and a strongly connected bipartite digraph D, the exponent of the Cartesian product G x D is equal to the addition of the exponent of G and the diameter of D. Finally, we find the exponents of Cartesian products of cycles. (C) 2008 Elsevier Ltd. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.subject | PRIMITIVE MATRICES | - |
dc.subject | CONJECTURE | - |
dc.subject | DIGRAPHS | - |
dc.subject | NUMBER | - |
dc.subject | SET | - |
dc.title | The exponent of Cartesian product of cycles | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Hwang, Woonjae | - |
dc.identifier.doi | 10.1016/j.aml.2008.06.030 | - |
dc.identifier.scopusid | 2-s2.0-61349163599 | - |
dc.identifier.wosid | 000264680100026 | - |
dc.identifier.bibliographicCitation | APPLIED MATHEMATICS LETTERS, v.22, no.4, pp.561 - 564 | - |
dc.relation.isPartOf | APPLIED MATHEMATICS LETTERS | - |
dc.citation.title | APPLIED MATHEMATICS LETTERS | - |
dc.citation.volume | 22 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 561 | - |
dc.citation.endPage | 564 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.subject.keywordPlus | PRIMITIVE MATRICES | - |
dc.subject.keywordPlus | CONJECTURE | - |
dc.subject.keywordPlus | DIGRAPHS | - |
dc.subject.keywordPlus | NUMBER | - |
dc.subject.keywordPlus | SET | - |
dc.subject.keywordAuthor | Exponent | - |
dc.subject.keywordAuthor | Cartesian product | - |
dc.subject.keywordAuthor | Digraphs | - |
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