1. Species–park networks reflect the spatial structure of urban green infrastructureEdy Fantinato, Elisabetta Zendri, Rosario Rummo, Federico Fiorin, Peter Glasnović, Giovanna Aronne, Andrea Della Bella, Marino Simone Preo, Gabriella Buffa, 2026, izvirni znanstveni članek Opis: As cities expand, natural and semi-natural habitats are increasingly restricted in extent and connectivity, posing major challenges for biodiversity conservation. Urban parks, as nodes of green infrastructure, improve ecological connectivity in the urban landscape, yet their functional role in supporting urban plant communities remains challenging to quantify. This study aimed to investigate whether differences in the functional role of urban parks are reflected by their spatial location within the green infrastructure. We applied a bipartite species-park network approach to assess the role of urban parks in supporting plant species in three historic cities in north-eastern Italy. In 2024, we surveyed 57 parks, recorded vascular plant species in nested plots and measured park attributes including area, distance to the city centre, distance to other parks and tree canopy cover. Species–park networks were used to quantify the functional role of each park through park specialisation, importance, compositional representativeness, and colonisation potential. Statistical models showed that parks further from the city centre supported richer plant communities and hosted species more dependent on individual parks, while parks at intermediate distances from the centre acted as compositional links between parks closer and further from the city centre. Parks with greater tree canopy cover tended to host species that achieved comparatively higher local cover but showed reduced compositional representativeness to other parks. Our results revealed that the functional role of parks in supporting plant communities was strongly associated with their spatial location within the green infrastructure, providing insights for urban biodiversity conservation and landscape planning. Ključne besede: bipartite network, green infrastructure, habitat connectivity, urban biodiversity, urban park Objavljeno v RUP: 11.05.2026; Ogledov: 359; Prenosov: 7
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2. Cycle separating cuts in possible counterexamples to the cycle double cover and the Berge-Fulkerson conjecturesEdita Máčajová, Giuseppe Mazzuoccolo, Gloria Tabarelli, 2026, izvirni znanstveni članek Opis: It is known that smallest counterexamples to the Cycle Double Cover Conjecture and Berge-Fulkerson Conjecture (if they exist) are cyclically 4- and 5-edge-connected, respectively. We further analyse small cycle separating cuts in possible counterexamples. We prove that if a smallest counterexample G to the CDC Conjecture contains a cycle separating 4-cut S, then the behaviour of the admissible CDC coverings along the dangling edges of the two 4-poles induced by S is uniquely determined among more than 2 a priori possibilities. Similarly, for the Berge-Fulkerson Conjecture, we prove that among more than 2 a priori possibilities, there are only 13 pairs of admissible sets that could occur along the dangling edges of a 5-cut in a smallest counterexample. Ključne besede: snark, cyclic connectivity, cycle double cover, Berge-Fulkerson conjecture Objavljeno v RUP: 03.03.2026; Ogledov: 493; Prenosov: 17
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4. Role of music therapy in the development of language skills in children with autism spectrum disorder : a systematic literature reviewLucija Mlakar, Vesna Posavčević, 2026, pregledni znanstveni članek Opis: Autism Spectrum Disorder (ASD) is a complex neurodevelopmental condition that typically emerges in early childhood, marked by difficulties in communication, social interaction, behaviour, and emotional regulation. Despite these challenges, many children with ASD demonstrate exceptional musical abilities, making music a powerful medium for enhancing self-expression, fostering social bonds, and supporting neurological development crucial for speech and social skills. Historically, minimally verbal children with ASD were often excluded from research due to the difficulty of assessment using standardised tools; however, recent advancements have enabled more inclusive studies. Over the past decade, naturalistic approaches have gained prominence, with music therapy emerging as a particularly promising intervention. A systematic literature review, based on original research sourced from PubMed, Sage, and ScienceDirect, examined six studies involving children aged two to twelve years with minimal verbal abilities and a clinical diagnosis of autism. These studies consistently found that music therapy significantly supports the development of language and social communication skills, while also enhancing fronto-temporal brain connectivity. The review contributes valuable insights into the current state of research, underscores the importance of early intervention and parental involvement, and lays the groundwork for further exploration into the role of music therapy in language development for children with ASD. Ključne besede: autism spectrum disorder, children, minimal language abilities, social communication, fronto-temporal brain connectivity, music therapy, non-music therapy Objavljeno v RUP: 28.01.2026; Ogledov: 673; Prenosov: 21
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5. Estimation of task-related dynamic brain connectivity via data inflation and classification model explainabilityPeter Rogelj, 2025, izvirni znanstveni članek Opis: Study of brain function often involves analyzing task-related switching between intrinsic brain networks, which connect various brain regions. Functional brain connectivity analysis methods aim to estimate these networks but are limited by the statistical constraints of windowing functions, which reduce temporal resolution and hinder explainability of highly dynamic processes. In this work, we propose a novel approach to functional connectivity analysis through the explainability of EEG classification. Unlike conventional methods that condense raw data into extracted features, our approach inflates raw EEG data by decomposition into meaningful components that explain processes in the application domain. To uncover the brain connectivity that affects classification decisions, we introduce a new method of dynamic influence data inflation (DIDI), which extracts signals representing interactions between electrode regions. These inflated data are then classified using an end-to-end neural network classifier architecture designed for raw EEG signals. Saliency map estimation from trained classifiers reveals the connectivity dynamics affecting classification decisions, which can be visualized as dynamic connectivity support maps for improved interpretability. The methodology is demonstrated on two publicly available datasets: one for imagined motor movement classification and the other for emotion classification. The results highlight the dual benefits of our approach: in addition to providing interpretable insights into connectivity dynamics it increases classification accuracy. Ključne besede: EEG, functional connectivity, data inflation, classification, explainability, saliency maps Objavljeno v RUP: 04.06.2025; Ogledov: 2341; Prenosov: 19
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7. The Sierpiński product of graphsJurij Kovič, Tomaž Pisanski, Sara Sabrina Zemljič, Arjana Žitnik, 2023, izvirni znanstveni članek Opis: In this paper we introduce a product-like operation that generalizes the construction of the generalized Sierpiński graphs. Let ▫$G, \, H$▫ be graphs and let ▫$f: V(G) \to V(H)$▫ be a function. Then the Sierpiński product of graphs ▫$G$▫ and ▫$H$▫ with respect to ▫$f$▫, denoted by ▫$G\otimes_f H$▫, is defined as the graph on the vertex set ▫$V(G) \times V(H)$▫, consisting of ▫$|V(G)|$▫ copies of ▫$H$▫; for every edge ▫$\{g, g'\}$▫ of ▫$G▫$ there is an edge between copies ▫$gH$▫ and ▫$g'H$▫ of form ▫$\{(g, f(g'), (g', f(g))\}$▫. Some basic properties of the Sierpiński product are presented. In particular, we show that the graph ▫$G\otimes_f H$▫ is connected if and only if both graphs ▫$G$▫ and ▫$H$▫ are connected and we present some conditions that ▫$G, \, H$▫ must fulfill for ▫$G\otimes_f H$▫ to be planar. As for symmetry properties, we show which automorphisms of ▫$G$▫ and ▫$H$▫ extend to automorphisms of ▫$G\otimes_f H$▫. In several cases we can also describe the whole automorphism group of the graph ▫$G\otimes_f H$▫. Finally, we show how to extend the Sierpiński product to multiple factors in a natural way. By applying this operation ▫$n$▫ times to the same graph we obtain an alternative approach to the well-known ▫$n$▫-th generalized Sierpiński graph. Ključne besede: Sierpiński graphs, graph products, connectivity, planarity, symmetry Objavljeno v RUP: 06.11.2023; Ogledov: 2514; Prenosov: 15
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