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DC Field | Value | Language |
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dc.contributor.author | Asciak, Kevin J. | - |
dc.contributor.author | Lauri, Josef | - |
dc.date.accessioned | 2023-07-27T10:39:17Z | - |
dc.date.available | 2023-07-27T10:39:17Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | Asciak, K., & Lauri, J. (2011). On the edge-reconstruction number of disconnected graphs. Bulletin of the ICA, 63, 87-100. | en_GB |
dc.identifier.uri | https://www.um.edu.mt/library/oar/handle/123456789/112083 | - |
dc.description.abstract | The edge-reconstruction number of a graph G is the minimum number of edge-deleted subgraphs which are required to determine the isomorphism type of G. Molina has shown that a disconnected graph whose components are not all isomorphic has edge-reconstruction number at most three. He also showed that under certain conditions, including the property that at least one component has a cycle, the edge-reconstruction number is 2. In this paper we give an alter-native proof of Molina’s main result, characterise those disconnected graphs which have the largest possible edge-reconstruction number, and we also investigate what properties can force a forest to have edge-reconstruction number 2. | en_GB |
dc.language.iso | en | en_GB |
dc.publisher | Institute of Combinatorics and its Applications | en_GB |
dc.rights | info:eu-repo/semantics/restrictedAccess | en_GB |
dc.subject | Graph theory | en_GB |
dc.subject | Graphic methods | en_GB |
dc.subject | Mathematics -- Charts, diagrams, etc. | en_GB |
dc.title | On the edge-reconstruction number of disconnected graphs | en_GB |
dc.type | article | en_GB |
dc.rights.holder | The 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.reviewed | peer-reviewed | en_GB |
dc.publication.title | Bulletin of the ICA | en_GB |
Appears in Collections: | Scholarly Works - FacSciMat |
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On_the_edge_reconstruction_number_of_disconnected_graphs_2011.pdf Restricted Access | 145.54 kB | Adobe PDF | View/Open Request a copy |
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