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1.
Nut graphs with a given automorphism group
Nino Bašić, Patrick W. Fowler, 2025, izvirni znanstveni članek

Opis: 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.
Ključne besede: nut graph, graph automorphism, automorphism group, nullity, graph spectra, f-universal
Objavljeno v RUP: 25.11.2025; Ogledov: 558; Prenosov: 4
.pdf Celotno besedilo (526,71 KB)
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2.
All bipartite circulants are dispersable
Shannon Overbay, Samuel S. Joslin, Paul C. Kainen, 2025, izvirni znanstveni članek

Opis: We show that a cyclic vertex order due to Yu, Shao and Li gives a dispersable book embedding for any bipartite circulant.
Ključne besede: edge-coloring, graph drawing, universal ordering
Objavljeno v RUP: 03.11.2025; Ogledov: 298; Prenosov: 3
.pdf Celotno besedilo (1,92 MB)

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