DC Field | Value | Language |
---|---|---|
dc.contributor.author | Koolen, JH | - |
dc.contributor.author | Markowsky, G | - |
dc.contributor.author | Park, J | - |
dc.date.accessioned | 2016-03-31T07:59:17Z | - |
dc.date.available | 2016-03-31T07:59:17Z | - |
dc.date.created | 2014-12-19 | - |
dc.date.issued | 2013-05 | - |
dc.identifier.issn | 0195-6698 | - |
dc.identifier.other | 2013-OAK-0000030555 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/14310 | - |
dc.description.abstract | We investigate the behavior of electric potentials on distance-regular graphs, and extend some results of a prior paper, Koolen and Markowsky (2010) [15]. Our main result shows that if the distance between points is measured by electric resistance then all points are close to being equidistant on a distance-regular graph with large valency. In particular, we show that the ratio between resistances between pairs of vertices in a distance-regular graph of diameter 3 or more is bounded by 1 + 6/k, where k is the degree of the graph. We indicate further how this bound can be improved to 1+ 4/k in most cases. A number of auxiliary results are also presented, including a discussion of the diameter 2 case as well as applications to random walks. (C) 2012 Elsevier Ltd. All rights reserved. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD | - |
dc.relation.isPartOf | EUROPEAN JOURNAL OF COMBINATORICS | - |
dc.subject | VALENCY | - |
dc.title | On electric resistances for distance-regular graphs | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1016/J.EJC.2012.12.001 | - |
dc.author.google | Koolen, JH | - |
dc.author.google | Markowsky, G | - |
dc.author.google | Park, J | - |
dc.relation.volume | 34 | - |
dc.relation.issue | 4 | - |
dc.relation.startpage | 770 | - |
dc.relation.lastpage | 786 | - |
dc.contributor.id | 10200295 | - |
dc.relation.journal | EUROPEAN JOURNAL OF COMBINATORICS | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | EUROPEAN JOURNAL OF COMBINATORICS, v.34, no.4, pp.770 - 786 | - |
dc.identifier.wosid | 000315004700007 | - |
dc.date.tcdate | 2019-01-01 | - |
dc.citation.endPage | 786 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 770 | - |
dc.citation.title | EUROPEAN JOURNAL OF COMBINATORICS | - |
dc.citation.volume | 34 | - |
dc.contributor.affiliatedAuthor | Koolen, JH | - |
dc.identifier.scopusid | 2-s2.0-84871652227 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 3 | - |
dc.description.scptc | 3 | * |
dc.date.scptcdate | 2018-05-121 | * |
dc.type.docType | Article | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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