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Na voljo sta dva načina iskanja: enostavno in napredno. Enostavno iskanje lahko zajema niz več besed iz naslova, povzetka, ključnih besed, celotnega besedila in avtorja, zaenkrat pa ne omogoča uporabe operatorjev iskanja. Napredno iskanje omogoča omejevanje števila rezultatov iskanja z vnosom iskalnih pojmov različnih kategorij v iskalna okna in uporabo logičnih operatorjev (IN, ALI ter IN NE). V rezultatih iskanja se izpišejo krajši zapisi podatkov o gradivu, ki vsebujejo različne povezave, ki omogočajo vpogled v podroben opis gradiva (povezava iz naslova) ali sprožijo novo iskanje (po avtorjih ali ključnih besedah).

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Graphs with total mutual-visibility number zero and total mutual-visibility in Cartesian products
Jing Tian, Sandi Klavžar, 2024, izvirni znanstveni članek

Povzetek: 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 $\mu_{\rm t}(G)\mu_{\rm t}(H)$.
Ključne besede: mutual-visibility set, total mutual-visibility set, bypass vertex, Cartesian product of graphs, trees
Objavljeno v DiRROS: 26.08.2024; Ogledov: 36; Prenosov: 17
.pdf Celotno besedilo (184,44 KB)
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5.
Persistent homology with selective Rips complexes detects geodesic circles
Žiga Virk, 2024, izvirni znanstveni članek

Povzetek: 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.
Ključne besede: simple closed geodesic, Rips complex, persistent homology, local winding number
Objavljeno v DiRROS: 26.08.2024; Ogledov: 34; Prenosov: 13
.pdf Celotno besedilo (906,54 KB)
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6.
Complexity of 2-rainbow total domination problem
Tadeja Kraner Šumenjak, Aleksandra Tepeh, 2024, izvirni znanstveni članek

Povzetek: In this paper,we extend the findings of recent studies on $k$-rainbow total domination by placing our focus on its computational complexity aspects. We show that the problem of determining whether a graph has a $2$-rainbow total dominating function of a given weight is NP-complete. This complexity result holds even when restricted to planar graphs. Along the way tight bounds for the $k$-rainbow total domination number of rooted product graphs are established. In addition, we obtain the closed formula for the $k$-rainbow total domination number of the corona product $G ∗ H$, provided that $H$ has enough vertices.
Ključne besede: domination, rainbow domination, rooted product, NP-complete
Objavljeno v DiRROS: 26.08.2024; Ogledov: 32; Prenosov: 10
.pdf Celotno besedilo (391,20 KB)
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7.
The remedy for a world without transcendence : Georges Bataille on sacrifice and the theology of transgression
Luka Trebežnik, 2024, izvirni znanstveni članek

Povzetek: Georges Bataille is undoubtedly a key reference for all relevant contemporary thoughts about sacrifice. This article attempts to follow his impulses and intuitions, which are often misunderstood because they are highly personal, provocative, and suggestive. The problem of sacrifice is approached in three concentric circles. The first presents a view from a distance, from the cosmic standpoint of “base materialism” and “general economy.” The second takes a closer look at the sacrificial site and deals with Bataille’s fascination with Aztec sacrificial culture. The concluding third part looks at sacrifice from the point of the altar, the place of communication and communal consumption of death, as a site of the emergence of the sacred and of community. In this way, the article seeks to highlight Bataille’s transgressive thinking as a worthwhile contribution to post-metaphysical theology.
Ključne besede: sacrifice, transgression, violence, sacred, communication, Aztecs, Bataille
Objavljeno v DiRROS: 26.08.2024; Ogledov: 33; Prenosov: 10
.pdf Celotno besedilo (406,18 KB)
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8.
Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils
Daniel Kressner, Bor Plestenjak, 2024, izvirni znanstveni članek

Povzetek: The numerical solution of the generalized eigenvalue problem for a singular matrix pencil is challenging due to the discontinuity of its eigenvalues. Classically, such problems are addressed by first extracting the regular part through the staircase form and then applying a standard solver, such as the QZ algorithm, to that regular part. Recently, several novel approaches have been proposed to transform the singular pencil into a regular pencil by relatively simple randomized modifications. In this work, we analyze three such methods by Hochstenbach, Mehl, and Plestenjak that modify, project, or augment the pencil using random matrices. All three methods rely on the normal rank and do not alter the finite eigenvalues of the original pencil. We show that the eigenvalue condition numbers of the transformed pencils are unlikely to be much larger than the ▫$\delta$▫-weak eigenvalue condition numbers, introduced by Lotz and Noferini, of the original pencil. This not only indicates favorable numerical stability but also reconfirms that these condition numbers are a reliable criterion for detecting simple finite eigenvalues. We also provide evidence that, from a numerical stability perspective, the use of complex instead of real random matrices is preferable even for real singular matrix pencils and real eigenvalues. As a side result, we provide sharp left tail bounds for a product of two independent random variables distributed with the generalized beta distribution of the first kind or Kumaraswamy distribution.
Ključne besede: singular pencil, singular generalized eigenvalue problem, eigenvalue condition number, randomized numerical method, random matrices
Objavljeno v DiRROS: 26.08.2024; Ogledov: 30; Prenosov: 14
.pdf Celotno besedilo (659,18 KB)
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9.
Pairs of fixed points for a class of operators on Hilbert spaces
Abdelhak Mokhtari, Kamel Saoudi, Dušan Repovš, 2024, izvirni znanstveni članek

Povzetek: In this paper, existence of pairs of solutions is obtained for compact potential operators on Hilbert spaces. An application to a second-order boundary value problem is also given as an illustration of our results.
Ključne besede: Hilbert spaces, potential operators, genus, fixed point theorem, boundary value problem
Objavljeno v DiRROS: 26.08.2024; Ogledov: 23; Prenosov: 14
.pdf Celotno besedilo (317,15 KB)
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10.
Preliminarno istraživanje utjecaja orijentacije vlakana u mikroarmiranim mortovima
Julien Michels, Matija Gams, 2016, izvirni znanstveni članek

Povzetek: U radu se obrađuje utjecaj čeličnih vlakana u mikroarmiranim mortovima. Uzorci morta u svježem stanju, s nasumično raspoređenim vlaknima su smješteni u spiralnu zavojnicu i izloženi elektromagnetskom polju u cilju postizanja usmjerenosti vlakana. Lokacija i orijentacija vlakana je određena rengenskom snimkom. Provedena su ispitivanja čvrstoće na savijanje uz kontrolu progiba ISC sustavom (engl. Digital Image Correlation System - ICS). S obzirom na orijentaciju vlakana, rezultati su pokazali poboljšanu disipaciju energije i veću energiju pri lomu kod uzoraka s usmjerenim vlaknima.
Objavljeno v DiRROS: 23.08.2024; Ogledov: 100; Prenosov: 64
.pdf Celotno besedilo (514,56 KB)
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