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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Sciriha, Irene | - |
| dc.date.accessioned | 2018-03-22T13:12:16Z | - |
| dc.date.available | 2018-03-22T13:12:16Z | - |
| dc.date.issued | 2008 | - |
| dc.identifier.citation | Sciriha, I. (2008). Coalesced and embedded nut graphs in singular graphs. Ars Mathematica Contemporanea, 1(1), 20-31. | en_GB |
| dc.identifier.uri | https://www.um.edu.mt/library/oar//handle/123456789/28161 | - |
| dc.description.abstract | A nut graph has a non-invertible (singular) 0-1 adjacency matrix with non-zero entries in every kernel eigenvector. We investigate how the concept of nut graphs emerges as an underlying theme in the theory of singular graphs. It is known that minimal configurations (MCs) are necessarily found as subgraphs of singular graphs. We construct MCs having nut graphs as subgraphs. Nut graphs can be coalesced with singular graphs at particular vertices or grown into a family of core graphs of larger nullity by adding a vertex at a time. Moreover, we propose a construction of nut line graph of trees by coalescence and a local enlargement of nut fullerenes and tetravalent nut graphs. | 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 | Coalesced and embedded nut graphs 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 | |
|---|---|---|---|---|
| Coalesced_and_embedded_nut_graphs_in_singular_graphs_2008.pdf | 345.49 kB | Adobe PDF | View/Open |
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