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1.
In-domatic number and some operations in digraphs
Germán Benítez-Bobadilla, Laura Pastrana-Ramírez, 2026, original scientific article

Abstract: Let D be a digraph, a subset S of V(D) is called in-dominating set in D if for each vertex x ∈ V(D) \ S there is a vertex w ∈ S such that (x, w) ∈ A(D). An in-domatic partition of D is a partition of V(D) where all parts are in-dominating sets in D. The maximum number of parts of an in-domatic partition of D is the in-domatic number of D and it is denoted by d⁻(D). In this work, the in-domatic number for some families of digraphs such as complete digraphs, transitive digraphs, directed cycles and the cartesian product of two cycles, is calculated. Also, in-domatically critical digraphs are characterized. Additionally, the in-domatic partitions of the line digraph and some other operations which reflect the adjacency and incidence relations in digraphs are explored.
Keywords: in-domatic number, in-domatically critical digraph, line digraph, in-domatically full digraph, cartesian product
Published in RUP: 21.12.2025; Views: 216; Downloads: 2
.pdf Full text (420,14 KB)

2.
The impact of Aureobasidium melanogenum cells and extracellular vesicles on human cell lines
Anja Černoša, Cene Gostinčar, Marija Holcar, Rok Kostanjšek, Metka Lenassi, Nina Gunde-Cimerman, 2025, original scientific article

Abstract: Aureobasidium melanogenum is a black yeast-like fungus that occurs frequently both in nature and in domestic environments. It is becoming increasingly important as an opportunistic pathogen. Nevertheless, its effect on human cells has not yet been studied. In this study, we investigated the effect of A. melanogenum cells and extracellular vesicles (EVs) on human cell lines A549 (human lung cells), HDFa (human dermal fibroblasts), and SH-SY5Y (human neuroblastoma cells). Scanning electron microscopy (SEM) showed no direct interaction between A. melanogenum cells and human cell lines, but there were some changes in HDFa cells. As a possible cause for this change, we tested the cytotoxic effect of EVs from A. melanogenum on the same cell lines. We isolated EVs from the fungus and prepared three different pools: a non-melanin pool (containing mainly EVs), a melanin pool (containing mainly melanin nanoparticles), and a total pool (containing both EVs and melanin nanoparticles). All three pools were characterized and then added to human cell lines to test their cytotoxicity. Unlike in some other fungal opportunistic pathogens, no effects of fungal EVs on human cell viability were observed. Therefore, the opportunistic potential of A. melanogenum remains only partially understood.
Keywords: extracellular vesicles, Aureobasidium melanogenum, pathogenesis, melanin, human cell line
Published in RUP: 07.08.2025; Views: 556; Downloads: 5
.pdf Full text (2,07 MB)
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3.
On a conjecture about the ratio of Wiener index in iterated line graphs
Katarína Hriňáková, Martin Knor, Riste Škrekovski, 2018, original scientific article

Keywords: Wiener index, line graph, tree, iterated line graph
Published in RUP: 03.01.2022; Views: 3229; Downloads: 64
.pdf Full text (391,35 KB)

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In-line measurement of wood surface roughness
Jakub Michal Sandak, Kazimierz A. Orłowski, Anna Malgorzata Sandak, Daniel Chuchała, Piotr Taube, 2019, published scientific conference contribution abstract

Keywords: wood surface roughness, triangulation scanner, surface defects, on-line, at-line
Published in RUP: 11.02.2020; Views: 3000; Downloads: 115
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8.
Detecting strong cliques
Ademir Hujdurović, Martin Milanič, Bernard Ries, 2019, original scientific article

Keywords: strong clique, weakly chordal graph, line graph, cubic graph
Published in RUP: 30.06.2019; Views: 4538; Downloads: 214
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