1. Nut graphs with a given automorphism groupNino Bašić, Patrick W. Fowler, 2025, original scientific article Abstract: A nut graph is a simple graph of order 2 or more for which the adjacency matrix has a single zero eigenvalue such that all nonzero kernel eigenvectors have no zero entry (i.e. are full). It is shown by construction that every finite group can be represented as the group of automorphisms of infinitely many nut graphs. It is further shown that such nut graphs exist even within the class of regular graphs; the cases where the degree is 8, 12, 16, 20 or 24 are realised explicitly.
Keywords: nut graph, graph automorphism, automorphism group, nullity, graph spectra, f-universal
Published in RUP: 25.11.2025; Views: 434; Downloads: 4
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4. Infuence of coping strategies on the efcacy of YAM (Youth Aware of Mental Health) : a universal school-based suicide preventive programJean-Pierre Kahn, Renaud F. Cohen, Alexandra Tubiana, Karine Legrand, Camilla Wasserman, Vladimir Carli, Alan Apter, Judit Balazs, Raphaela Banzer, Barzilay Shira, Urša Mars Bitenc, Vita Poštuvan, 2020, original scientific article Keywords: YAM, universal programme, coping strategies, suicide, suicidal ideation, adolescents, mechanisms, suicide prevention, mental health promotion, SEYLE
Published in RUP: 10.11.2020; Views: 4981; Downloads: 67
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