DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bang, S | - |
dc.contributor.author | Koolen, JH | - |
dc.contributor.author | Moulton, V | - |
dc.date.accessioned | 2016-04-01T09:05:41Z | - |
dc.date.available | 2016-04-01T09:05:41Z | - |
dc.date.created | 2009-03-05 | - |
dc.date.issued | 2007-10 | - |
dc.identifier.issn | 0195-6698 | - |
dc.identifier.other | 2007-OAK-0000010868 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/29442 | - |
dc.description.abstract | In 1984 Bannai and Ito conjectured that there are finitely many distance-regular graphs with fixed valencies greater than two. In a series of papers, they showed that this is the case for valency 3 and 4, and also for the class of bipartite distance-regular graphs. To prove their result, they used a theorem concerning the intersection array of a triangle-free distance-regular graph, a theorem that was subsequently generalized in 1994 by Suzuki to distance-regular graphs whose intersection numbers satisfy a certain simple condition. More recently, Koolen and Moulton derived a more general version of Banni and Ito's theorem which they used to show that the Banai-Ito conjecture holds for valencies 5, 6 and 7, and which they subsequently extended to triangle-free distance-regular graphs in order to show that the Bannai-Ito conjecture holds for such graphs with valencies 8, 9 and 10. In this paper, we extend the theorems of Bannai and Ito, and Koolen and Moulton to arbitrary distance-regular graphs. (c) 2006 Elsevier Ltd. All rights reserved. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS LTD ELSEVIER SCIENCE L | - |
dc.relation.isPartOf | EUROPEAN JOURNAL OF COMBINATORICS | - |
dc.subject | DISTANCE-REGULAR GRAPHS | - |
dc.subject | FIXED VALENCY | - |
dc.subject | DIAMETER | - |
dc.title | Two theorems concerning the Bannai-Ito conjecture | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1016/J.EJC.2006.0 | - |
dc.author.google | Bang, S | - |
dc.author.google | Koolen, JH | - |
dc.author.google | Moulton, V | - |
dc.relation.volume | 28 | - |
dc.relation.issue | 7 | - |
dc.relation.startpage | 2026 | - |
dc.relation.lastpage | 2052 | - |
dc.contributor.id | 10200295 | - |
dc.relation.journal | EUROPEAN JOURNAL OF COMBINATORICS | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Conference Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | EUROPEAN JOURNAL OF COMBINATORICS, v.28, no.7, pp.2026 - 2052 | - |
dc.identifier.wosid | 000248808300012 | - |
dc.date.tcdate | 2019-02-01 | - |
dc.citation.endPage | 2052 | - |
dc.citation.number | 7 | - |
dc.citation.startPage | 2026 | - |
dc.citation.title | EUROPEAN JOURNAL OF COMBINATORICS | - |
dc.citation.volume | 28 | - |
dc.contributor.affiliatedAuthor | Koolen, JH | - |
dc.identifier.scopusid | 2-s2.0-34447269428 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 5 | - |
dc.type.docType | Article; Proceedings Paper | - |
dc.subject.keywordPlus | DISTANCE-REGULAR GRAPHS | - |
dc.subject.keywordPlus | FIXED VALENCY | - |
dc.subject.keywordPlus | DIAMETER | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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