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751 - 760 / 2000
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751.
Maker-Breaker resolving game played on corona products of graphs
Tijo James, Sandi Klavžar, Dorota Kuziak, K. S. Savitha, Ambat Vijayakumar, 2025, original scientific article

Abstract: The Maker-Breaker resolving game is a game played on a graph $G$ by Resolver and Spoiler. The players taking turns alternately in which each player selects a not yet played vertex of $G$. The goal of Resolver is to select all the vertices in a resolving set of $G$, while that of Spoiler is to prevent this from happening. The outcome $o(G)$ of the game played is one of $\mathcal{R}$, $\mathcal{S}$, and $\mathcal{N}$, where $o(G)=\mathcal{R}$ (resp. $o(G)=\mathcal{S}$), if Resolver (resp. Spoiler) has a winning strategy no matter who starts the game, and $o(G)=\mathcal{N}$, if the first player has a winning strategy. In this paper, the game is investigated on corona products $G\odot H$ of graphs $G$ and $H$. It is proved that if $o(H)\in\{\mathcal{N}, \mathcal{S}\}$, then $o(G\odot H) = \mathcal{S}$. No such result is possible under the assumption $o(H) = \mathcal{R}$. It is proved that $o(G\odot P_k) = \mathcal{S}$ if $k=5$, otherwise $o(G\odot P_k) = \mathcal{R}$, and that $o(G\odot C_k) = \mathcal{S}$ if $k=3$, otherwise $o(G\odot C_k) = \mathcal{R}$. Several results are also given on corona products in which the second factor is of diameter at most $2$.
Keywords: Maker-Breaker game, resolving set, Maker-Breaker resolving game, Maker-Breaker resolving number, corona product of graphs
Published in DiRROS: 20.10.2025; Views: 174; Downloads: 101
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752.
Fleet and traffic management systems for conducting future cooperative mobility
Gregor Papa, Vida Vukašinović, Raquel Sánchez-Cauce, Leire Serrano, 2025, published scientific conference contribution

Keywords: traffic management, fleet management, trafic simulation, mobility
Published in DiRROS: 20.10.2025; Views: 208; Downloads: 114
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753.
Two-generation of traceless matrices over finite fields
Omer Cantor, Urban Jezernik, Andoni Zozaya, 2025, original scientific article

Abstract: We prove that the Lie algebra $\mathfrak{sl}_n(\textbf{F}_q)$ of traceless matrices over a finite field of characteristic ▫$p$▫ can be generated by $2$ elements with exceptions when $(n, p)$ is $(3, 3)$ or $(4,2)$. In the latter cases, we establish curious identities that obstruct $2$-generation.
Keywords: generation, simple Lie algebras, finite fields
Published in DiRROS: 20.10.2025; Views: 207; Downloads: 102
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754.
Connected matchings
Oswin Aichholzer, Sergio Cabello, Viola Mészáros, Patrick Schnider, Jan Soukup, 2025, original scientific article

Abstract: We show that each set of $n\ge 2$ points in the plane in general position has a straight-line matching with at least $(5n+1)/27$ edges whose segments form a connected set, and such a matching can be computed in $O(n \log n)$ time. As an upper bound, we show that for some planar point sets in general position the largest matching whose segments form a connected set has $\lceil \frac{n-1}{3}\rceil$ edges. We also consider a colored version, where each edge of the matching should connect points with different colors.
Keywords: point sets, matchings for point sets, intersection graph
Published in DiRROS: 20.10.2025; Views: 194; Downloads: 105
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755.
Rezultati ankete "ChatGPT pri delu poljskih in slovenskih visokošolskih učiteljev in učiteljic"
Valerija Vendramin, Sabina Autor, Janja Žmavc, Lucija Zala Bezlaj, Igor Bijuklič, Krzysztof Skonieczny, Kamil Wielecki, 2025, complete scientific database of research data

Abstract: Datoteki vsebujeta odgovore slovenskih in poljskih visokošolskih učiteljev in učiteljic v anketi, katere namen je bil oceniti vpliv ChatGPT-ja in podobnih tehnologij umetne inteligence na izobraževalne prakse. Hkrati je bil namen tudi razumeti strategije, ki jih visokošolski učitelji in učiteljice uporabljajo, ko se soočajo z novimi tehnologijami, ki bi lahko motile učni proces.
Keywords: vzgoja in izobraževanje, podatkovne baze, EDUCATHUM, ChatGPT, raziskovalni podatki, anketa, izobraževanje na mejah človeškega, visokošolski učitelji/-ice, Poljska, Slovenija
Published in DiRROS: 20.10.2025; Views: 240; Downloads: 63
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756.
Weighted Padovan graphs
Vesna Iršič Chenoweth, Sandi Klavžar, Gregor Rus, Elif Tan, 2025, original scientific article

Abstract: Weighted Padovan graphs $\Phi^{n}_{k}$, $n \geq 1$, $\lfloor \frac{n}{2} \rfloor \leq k \leq \lfloor \frac{2n-2}{3} \rfloor$, are introduced as the graphs whose vertices are all Padovan words of length $n$ with $k$ $1$s, two vertices being adjacent if one can be obtained from the other by replacing exactly one $01$ with a $10$. By definition, $\sum_k |V(\Phi^{n}_{k})|=P_{n+2}$, where $P_n$ is the $n$th Padovan number. Two families of graphs isomorphic to weighted Padovan graphs are presented. The order, the size, the degree, the diameter, the cube polynomial, and the automorphism group of weighted Padovan graphs are determined. It is also proved that they are median graphs.
Keywords: Padovan sequence, weighted Padovan graph, integer partition, median graphs
Published in DiRROS: 20.10.2025; Views: 156; Downloads: 62
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757.
A model theoretic perspective on matrix rings
Igor Klep, Marcus Tressl, 2025, original scientific article

Abstract: In this paper natural necessary and sufficient conditions for quantifier elimination of matrix rings $M_n(K)$ in the language of rings expanded by two unary functions, naming the trace and transposition, are identified. This is used together with invariant theory to prove quantifier elimination when $K$ is an intersection of real closed fields. On the other hand, it is shown that finding a natural definable expansion with quantifier elimination of the theory of $M_n({\mathbb C})$ is closely related to the infamous simultaneous conjugacy problem in matrix theory. Finally, for various natural structures describing dimension-free matrices it is shown that no such elimination results can hold by establishing undecidability results.
Keywords: model theory, quantifier elimination, matrix rings, trace, decidability, free analysis, simultaneous conjugacy problem
Published in DiRROS: 20.10.2025; Views: 188; Downloads: 82
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758.
Advanced Monte Carlo analysis of ex-vessel neutron dosimetry for cycle 25 of Krško nuclear power plant
Tanja Goričanec, Benjamin Barbarič, Vladimir Radulović, Dušan Čalič, Luka Snoj, Marjan Kromar, 2026, original scientific article

Abstract: This paper presents the results of Monte Carlo neutron transport calculations performed for the containment building of the Krško Nuclear Power Plant. The calculations were performed using the Monte Carlo N-Particle Transport Code (MCNP) in combination with the ADVANTG hybrid code to speed up the convergence of the results outside the reactor core. The paper focuses on the analysis of the Ex-Vessel Neutron Dosimetry (EVND) program conducted during the 25th fuel cycle at the Krško nuclear power plant with the irradiation of gradient chains and multiple foil sensor sets. The calculated reaction rates at the dosimeter locations are in good agreement with the measured values. However, deviations were observed in the thermal part of the neutron energy spectrum which cannot be neglected, and investigated were some possible reasons for the deviations: nuclear data, concrete material composition, concrete geometry, sensor position and impurities in sample.
Keywords: neutron transport, ex-vessel neutron dosimeters, neutron
Published in DiRROS: 20.10.2025; Views: 167; Downloads: 70
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759.
760.
Environmental drivers of scale morphology in a Canary Island lizard across 3700 m of elevation
K. Kelly, Rodrigo Megía-Palma, Urban Dajčman, S. Blázquez-Castro, M. R. Pie, Anamarija Žagar, 2025, original scientific article

Abstract: The skin serves as the outermost barrier between an organism and its environment and fulfills numerous physiological and ecological functions. In lizards, scale morphology is an important adaptive trait that mediates responses to environmental influences such as extreme temperatures, ultraviolet radiation, drought and anthropogenic disturbances. Our study provides an analysis of the environmental drivers influencing intraspecific variation in the scale ecomorphology of the island lizard Gallotia galloti across 3700 m of elevation, taking into account different macro- and microclimatic conditions and varying degrees of anthropogenic influences and across three body regions: dorsal, ventral and tail. We found several correlations suggesting multiple dependencies of scale morphology on environmental variation. The positive correlation between July temperature and wind speed at 3 cm above the ground and dorsal scale density showed that more densely packed scales are associated with hotter and drier environments. This could possibly be related to the thermoregulatory and hydroregulatory function of the skin, since the dorsal side of the body is most exposed. Higher sun exposure was associated with larger dorsal and tail scales, indicating a possible photoprotective function. Ventral scales are not exposed to the pressure of solar radiation and wind. Accordingly, ventral scales showed no correlation with these factors, but we found that a higher ratio of day-to-night temperature variation relative to seasonal changes (isothermality) was associated with a higher density of ventral scales. The human footprint index positively correlated with larger and denser ventral (and not dorsal or tail) scales. Overall, our results illustrate the complexity of responses of scale morphology to different environmental variations. Evidently, G. galloti exhibits morphological diversity in response to climatic conditions and urbanization, highlighting the potential ecological significance of scale size variation. Future research should investigate the genetic basis and possible effects of climate change on scale morphology.
Keywords: scale morphology, climatic conditions, human footprint, adaptation, skin, elevational gradient, zoology
Published in DiRROS: 17.10.2025; Views: 209; Downloads: 105
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