1. Baseline resting-state network integration modulates task performance and aftereffectRok Požar, Tim Martin, Mary Katherine Kerlin, Aidan McColligan, Bruno Giordani, Voyko Kavcic, 2026, original scientific article Abstract: Understanding how intrinsic brain networks adapt to cognitive demands is central to neuroscience. The aim of this study was to examine how eyes-open and eyes-closed resting-state network integration, derived from electroencephalography before and after a visual oddball task, relates to task performance in young adults. Task engagement reduced global integration in theta, lower alpha, and beta bands, independent of eye condition, indicating a transient shift toward a less demanding post-task configuration. Eyes-open resting states consistently exhibited higher integration than eyes-closed in the upper alpha band, both before and after the task, reflecting enhanced inter-regional communication and sensory readiness. Importantly, higher pre-task beta-band integration during eyes-open resting state predicted faster reaction times and larger post-task decreases in integration, highlighting baseline network organization as a determinant of cognitive efficiency and neural flexibility. These findings support the concept of neural reserve, where intrinsic network efficiency and adaptability underpin both performance readiness and dynamic reorganization. Overall, the results demonstrate that resting-state network integration— modulated by both eye condition and task engagement—captures fundamental aspects of the brain’s capacity for efficient and flexible cognitive function.
Keywords: electroencephalography, brain network integration, cognitive task, neuropsychology
Published in RUP: 29.01.2026; Views: 277; Downloads: 2
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2. Generalization of edge general position problemPaul Manuel, R. Prabha, Sandi Klavžar, 2025, original scientific article Abstract: The edge geodesic cover problem of a graph G is to find a smallest number of geodesics that cover the edge set of G. The edge k-general position problem is introduced as the problem to find a largest set S of edges of G such that at most k-1 edges of S lie on a common geodesic. We show that these are dual min-max problems and connect them to an edge geodesic partition problem. Using these connections, exact values of the edge k-general position number is determined for different values of k and for various networks including torus networks, hypercubes, and Benes networks.
Keywords: general position set, edge geodesic cover problem, edge k-general position problem, torus network, hypercube, Benes network
Published in RUP: 03.11.2025; Views: 328; Downloads: 3
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7. Modelling the spread of infectious diseases in public transport systems under varying demand patterns and capacity constraintsLászló Hajdu, Jovan Pavlović, Miklós Ferenz Krész, András Bóta, 2025, original scientific article Abstract: Understanding the dynamics of passenger interactions and their epidemiological impact across public transportation systems is crucial for both service efficiency and public health. High passenger density and close physical proximity have been shown to accelerate the spread of infectious diseases. During the COVID-19 pandemic, many public transportation companies took measures to slow down and minimize the spread of the disease. One of these measures was introducing spacing and capacity constraints on public transit vehicles. Our objective is to explore the effects of changes in demand and transportation measures from an epidemiological point of view, offering alternative measures to public transportation companies to keep the system operational while minimizing the epidemiological risk as much as possible. Our findings show that restricting vehicle capacity can significantly reduce the spread of infections, while demand-related measures have an even stronger effect. Combining these approaches offers the best solutions for balancing public health and operability.
Keywords: agent based modelling, infectious diseases, network analysis
Published in RUP: 27.08.2025; Views: 600; Downloads: 3
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