501. The 2-rainbow domination number of Cartesian product of cyclesSimon Brezovnik, Darja Rupnik Poklukar, Janez Žerovnik, 2025, original scientific article Abstract: A k-rainbow dominating function (kRDF) of G is a function that assigns subsets of {1, 2, ..., k} to the vertices of G such that for vertices v with f(v) = ∅ we have Uu∈N(v)f(u) = {1, 2, ..., k}. The weight w(f) of a kRDF f is defined as w(f) = P v∈V(G)|f(v)|. The minimum weight of a kRDF of G is called the k-rainbow domination number of G, which is denoted by γrk(G). In this paper, we study the 2-rainbow domination number of the Cartesian product of two cycles. Exact values are given for a number of infinite families and we prove lower and upper bounds for all other cases. Keywords: 2-rainbow domination, domination number, cartesian product Published in DiRROS: 21.11.2025; Views: 132; Downloads: 85
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506. Male sex, B symptoms, bone marrow involvement, and genetic alterations as predictive factors in diffuse large B-cell lymphoma : Elektronski virMatej Panjan, Vita Šetrajčič Dragoš, Gorana Gašljević, Srdjan Novaković, Barbara Jezeršek Novaković, 2025, original scientific article Abstract: Approximately 40% of patients with diffuse large B-cell lymphoma (DLBCL) are not cured with first-line chemoimmunotherapy, resulting in poor prognosis. Schmitz et al. classified DLBCL into four prognostic genetic groups using whole-exome sequencing. We applied a simplified approach using a targeted next-generation sequencing assay (Archer FusionPlex Lymphoma Assay) to analyze samples from 105 patients—53 with a progression-free survival (PFS) < 2 years (the “Relapse group”) and 52 with a PFS > 5 years (the “Remission group”) following first-line systemic treatment. Patients were classified according to Schmitz et al. into the following categories: “MCD” (MYD88L265P and CD79B alteration), “N1” (NOTCH1 alteration), “BN2” (NOTCH2 alteration and BCL6 translocation), and “EZB” (EZH2 alteration and BCL2 translocation). The predictive value of this simplified genetic classification and of relevant clinical features were evaluated. The “Relapse group” included more patients classified as MCD and N1, while fewer were classified as EZB and BN2. Also, cell-of-origin (COO) characteristics and the size of N1 aligned with the classification of Schmitz et al. However, the limited sample size precludes definitive conclusions about the predictive value of our simplified approach. Additionally, male sex, B symptoms, and bone marrow involvement were associated with relapse. Therefore, these clinical features may be useful in predicting outcomes until an effective molecular classification is widely adopted. Keywords: DLBCL, genetic classification, predictive, lymphoma Published in DiRROS: 21.11.2025; Views: 108; Downloads: 31
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507. Proces dietetične obravnave s prikazi kliničnih primerov : strokovni priročnik2025, not set Keywords: prehranska priporočila, hranilne snovi, enakovredna živila, prehranski dodatki, prehranjevalne motnje, prehranjenost, živila, telesna aktivnost, zdravstveni nasveti Published in DiRROS: 21.11.2025; Views: 152; Downloads: 43
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508. On the direct numerical computation of Hopf bifurcations to assess the dynamic stability of fluid-conveying cantilevered pipesHauke Gravenkamp, Bor Plestenjak, 2026, original scientific article Abstract: In the structural analysis of fluid-conveying pipes, dynamic instabilities can occur at specific values of the flow velocity, depending on the geometry as well as the material parameters of the pipe and the interior fluid. These critical points fall into the broader category of Hopf bifurcations. Typical numerical models of this problem employ a one-dimensional weighted residual method, leading to a velocity-dependent eigenvalue problem. The solutions form eigencurves, and the critical points are characterized by eigenvalues with vanishing real parts. In this paper, we show that critical points can be computed directly as solutions to a single three-parameter eigenvalue problem. In addition, we employ a recently developed method for computing individual eigencurves, based on the concept of exponential residual relaxation. For the discretization of the weak form, we use a finite element method with a particular version of $C^1$-continuous high-order spectral elements, suited for fourth-order differential equations, and we discuss the differences compared to the more commonly used weighted residual method based on the basis functions of a linear Euler-Bernoulli beam. Four numerical examples demonstrate the effectiveness of the implemented algorithms. For verification, we provide a detailed derivation of analytical solutions for special cases. Keywords: pipes, Euler-Bernoulli beam, stability, Hopf bifurcation, multiparameter eigenvalue problem, spectral element method Published in DiRROS: 20.11.2025; Views: 126; Downloads: 64
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510. Sense of place and identity in peri-urban landscapes : a multimethod explorationVita Žlender, Rok Brišnik, 2025, original scientific article Abstract: This study examines the sense of place (SOP) and identity in peri-urban landscapes, which serve as borderscapes between urban and rural areas. It applies SOP both as a cultural ecosystem service and a phenomenological construct to explore how residents and visitors connect with these landscapes. Using a mixed-methods approach with over seven hundred participants from Ljubljana, Koper, and Kranj, Slovenia, the study maps and evaluates how residents and visitors perceive their environment. The results show that residents have a stronger SOP, but the importance of places for SOP and other cultural services is similar for both residents and visitors. Participatory mapping effectively identified areas of high SOP value, revealing strong connections to hills, bodies of water, biodiverse areas, and small settlements. Conflicts between land-use planning and local values were identified, emphasising the need for flexible, participatory spatial planning to reflect diverse, locally specific perspectives in decision-making. Published in DiRROS: 20.11.2025; Views: 152; Downloads: 41
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