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511 - 520 / 2000
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511.
Poročilo o preskusu št.: LVG 2024-092 : vzorec št. 2024/00383
Barbara Piškur, Špela Hočevar, Patricija Podkrajšek, Nikica Ogris, 2024, expertise, arbitration decision

Keywords: varstvo gozdov, morfološke analize
Published in DiRROS: 27.08.2024; Views: 223; Downloads: 0
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512.
513.
Poročilo o preskusu št.: LVG 2024-090 : vzorec št.2024/00335/MDG
Tine Hauptman, Maarten De Groot, 2024, expertise, arbitration decision

Keywords: varstvo gozdov, morfološke analize
Published in DiRROS: 27.08.2024; Views: 229; Downloads: 0
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514.
Poročilo o preskusu št.: LVG 2024-089 : vzorec št.2024/00373
Maarten De Groot, Tine Hauptman, 2024, expertise, arbitration decision

Keywords: varstvo gozdov, morfološke analize
Published in DiRROS: 27.08.2024; Views: 214; Downloads: 0
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515.
Poročilo o preskusu št.: LVG 2024-088 : vzorec št.2024/00164/mdg
Maarten De Groot, Špela Hočevar, Barbara Piškur, 2024, expertise, arbitration decision

Keywords: varstvo gozdov, morfološke analize
Published in DiRROS: 27.08.2024; Views: 230; Downloads: 0
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518.
Computational fluid dynamics, transport, and chemical kinetics-based monolith catalyst dimensioning methodology for cost-effective performance
Jure Voglar, Andraž Pavlišič, Blaž Likozar, 2024, original scientific article

Published in DiRROS: 27.08.2024; Views: 257; Downloads: 225
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519.
Graphs with total mutual-visibility number zero and total mutual-visibility in Cartesian products
Jing Tian, Sandi Klavžar, 2024, original scientific article

Abstract: If $G$ is a graph and $X\subseteq V(G)$, then $X$ is a total mutual-visibility set if every pair of vertices $x$ and $y$ of $G$ admits a shortest $x,y$-path $P$ with $V(P) \cap X \subseteq \{x,y\}$. The cardinality of a largest total mutual-visibility set of $G$ is the total mutual-visibility number $\mu_{\rm t}(G)$ of $G$. Graphs with $\mu_{\rm t}(G) = 0$ are characterized as the graphs in which no vertex is the central vertex of a convex $P_3$. The total mutual-visibility number of Cartesian products is bounded and several exact results proved. For instance, $\mu_{\rm t}(K_n\,\square\, K_m) = \max\{n,m\}$ and $\mu_{\rm t}(T\,\square\, H) = \mu_{\rm t}(T)\mu_{\rm t}(H)$, where $T$ is a tree and $H$ an arbitrary graph. It is also demonstrated that $\mu_{\rm t}(G\,\square\, H)$ can be arbitrary larger than $\mu_{\rm t}(G)\mu_{\rm t}(H)$.
Keywords: mutual-visibility set, total mutual-visibility set, bypass vertex, Cartesian product of graphs, trees
Published in DiRROS: 26.08.2024; Views: 209; Downloads: 100
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520.
Persistent homology with selective Rips complexes detects geodesic circles
Žiga Virk, 2024, original scientific article

Abstract: This paper introduces a method to detect each geometrically significant loop that is a geodesic circle (an isometric embedding of $S^1$) and a bottleneck loop (meaning that each of its perturbations increases the length) in a geodesic space using persistent homology. Under fairly mild conditions, we show that such a loop either terminates a 1- dimensional homology class or gives rise to a 2-dimensional homology class in persistent homology. The main tool in this detection technique are selective Rips complexes, new custom made complexes that function as an appropriate combinatorial lens for persistent homology to detect the above mentioned loops. The main argument is based on a new concept of a local winding number, which turns out to be an invariant of certain homology classes.
Keywords: simple closed geodesic, Rips complex, persistent homology, local winding number
Published in DiRROS: 26.08.2024; Views: 218; Downloads: 93
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