1. OAR@UM
  2. Faculty of Science
  3. Department of Mathematics
  4. Scholarly Works - FacSciMat
Please use this identifier to cite or link to this item: https://www.um.edu.mt/library/oar/handle/123456789/111599
Full metadata record
DC FieldValueLanguage
dc.contributor.authorAsciak, Kevin J.-
dc.contributor.authorLauri, Josef-
dc.contributor.authorMyrvold, Wendy-
dc.contributor.authorPannone, Virgilio-
dc.date.accessioned2023-07-13T05:36:31Z-
dc.date.available2023-07-13T05:36:31Z-
dc.date.issued2014-
dc.identifier.citationAsciak, K., Lauri, J., Myrvold, W., & Pannone, V. (2014). On the edge-reconstruction number of a tree. Australasian Journal of Combinatorics, 60(2), 169-190.en_GB
dc.identifier.urihttps://www.um.edu.mt/library/oar/handle/123456789/111599-
dc.description.abstractThe edge-reconstruction number ern(G) of a graph G is equal to the minimum number of edge-deleted subgraphs G−e of G which are sufficient to determine G up to isomorphism. Building upon the work of Molina and using results from computer searches by Rivshin and more recent ones which we carried out, we show that, apart from three known exceptions, all bicentroidal trees have edge-reconstruction number equal to 2. We also exhibit the known trees having edge-reconstruction number equal to 3 and we conjecture that the three infinite families of unicentroidal trees which we have found to have edge-reconstruction number equal to 3 are the only ones.en_GB
dc.language.isoenen_GB
dc.publisherCentre for Discrete Mathematics & Computingen_GB
dc.rightsinfo:eu-repo/semantics/openAccessen_GB
dc.subjectGraph theoryen_GB
dc.subjectMathematicsen_GB
dc.subjectGraphic methodsen_GB
dc.subjectCharts, diagrams, etc.en_GB
dc.titleOn the edge-reconstruction number of a treeen_GB
dc.typearticleen_GB
dc.rights.holderThe copyright of this work belongs to the author(s)/publisher. The rights of this work are as defined by the appropriate Copyright Legislation or as modified by any successive legislation. Users may access this work and can make use of the information contained in accordance with the Copyright Legislation provided that the author must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the prior permission of the copyright holder.en_GB
dc.description.reviewedpeer-revieweden_GB
dc.publication.titleAustralasian Journal of Combinatoricsen_GB
Appears in Collections:Scholarly Works - FacSciMat

Files in This Item:
File Description SizeFormat 
On_the_edge_reconstruction_number_of_a_tree_2014.pdf240.06 kBAdobe PDFView/Open
Show simple item record Statistics


Items in OAR@UM are protected by copyright, with all rights reserved, unless otherwise indicated.