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DC Field | Value | Language |
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dc.contributor.author | Sciriha, Irene | - |
dc.date.accessioned | 2018-03-22T12:52:07Z | - |
dc.date.available | 2018-03-22T12:52:07Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Sciriha, I. (2009). Maximal core size in singular graphs. ARS Mathematica Contemporanea, 2(2), 217-229. | en_GB |
dc.identifier.issn | 18553966 | - |
dc.identifier.uri | https://www.um.edu.mt/library/oar//handle/123456789/28153 | - |
dc.description.abstract | A graph G is singular of nullity η if the nullspace of its adjacency matrix G has dimension η. Such a graph contains η cores determined by a basis for the nullspace of G. These are induced subgraphs of singular configurations, the latter occurring as induced subgraphs of G. We show that there exists a set of η distinct vertices representing the singular configurations. We also explore how the nullity controls the size of the singular substructures and characterize those graphs of maximal nullity containing a substructure reaching maximal size. | en_GB |
dc.language.iso | en | en_GB |
dc.publisher | Drustvo Matematikov, Fizikov in Astronomov, Society of Mathematicians, Physicists and Astronomers | en_GB |
dc.rights | info:eu-repo/semantics/openAccess | en_GB |
dc.subject | Mathematics -- Charts, diagrams, etc. | en_GB |
dc.subject | Mathematics -- Problems, exercises, etc. | en_GB |
dc.title | Maximal core size in singular 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 | ARS Mathematica Contemporanea | en_GB |
Appears in Collections: | Scholarly Works - FacSciMat |
Files in This Item:
File | Description | Size | Format | |
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Maximal_core_size_in_singular_graphs_2009.pdf | 249.18 kB | Adobe PDF | View/Open |
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