Please use this identifier to cite or link to this item: https://www.um.edu.mt/library/oar/handle/123456789/28156
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dc.contributor.authorSciriha, Irene-
dc.date.accessioned2018-03-22T12:55:33Z-
dc.date.available2018-03-22T12:55:33Z-
dc.date.issued1998-
dc.identifier.citationSciriha, I. (1998). On the construction of graphs of nullity one. Discrete Mathematics, 181(1-3), 193-211.en_GB
dc.identifier.urihttps://www.um.edu.mt/library/oar//handle/123456789/28156-
dc.description.abstractThis paper studies singular graphs by considering minimal singular induced subgraphs of small order. These correspond to a number k of linearly dependent rows of the adjacency matrix determining what is termed as a core of the singular graph. For k at most 5, the distinct cores and corresponding minimal configurations (61 in number) are identified. This provides a method of constructing singular graphs from others of smaller order. Furthermore, it is shown that when a graph has a minimal configuration as an induced subgraph, then it is singular.en_GB
dc.language.isoenen_GB
dc.publisherElsevier BVen_GB
dc.rightsinfo:eu-repo/semantics/restrictedAccessen_GB
dc.subjectMathematics -- Charts, diagrams, etc.en_GB
dc.subjectMathematics -- Problems, exercises, etc.en_GB
dc.titleOn the construction of graphs of nullity oneen_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.identifier.doi10.1016/S0012-365X(97)00036-8-
dc.publication.titleDiscrete Mathematicsen_GB
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