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  • Coalesced and embedded nut graphs in singular graphs
    Sciriha, Irene
    A nut graph has a non-invertible (singular) 0-1 adjacency matrix with nonzero 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 one vertex at a time. Moreover, we propose a local enlargement of nut fullerenes and tetravalent nut graphs.
    Vir: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 1, no. 1, 2008, str. 20-31)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2008
    Jezik - angleški
    COBISS.SI-ID - 15111257

vir: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 1, no. 1, 2008, str. 20-31)

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