Raziskovalni matematični seminar - Arhiv

The lecture will present key novelties in the field of Open Science (OS), with a focus on changes at the Slovenian Research and Innovation Agency (ARIS), national and international initiatives, and activities at the University of Primorska (UP). We will review the new ARIS requirements regarding research data management plans, trusted repositories, citizen science, and other topics. Key updates in open access to scientific publications will be presented, including licensing requirements and changes in funding for publication costs. A section will be dedicated to the SPOZNAJ project, which enhances training and support for Open Science in Slovenia, and to the activities of the Slovenian Open Science Community (SSOZ). UP is actively organizing new events and training sessions to promote Open Science, including online lectures, workshops, and professional support for researchers. Finally, we will also introduce the latest Open Science activities within the T4EU university alliance.

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A theorem of Mader states that in every finite (k+1)-edge-connected digraph D, for any s, t ∈ V(D), there exists an st-path P such that D - E(P) remains k-edge-connected. We show that this result does not extend to infinite digraphs and can fail drastically. Specifically, for every k ∈ ℕ, we construct a "fractal-like" infinite k-edge-connected digraph D_k with s, t ∈V(D_k), in which every st-path shares an edge with every ts-path.