Institute of Mathematics, Physics, and Mechanics

Fault‐Tolerant Mutual‐Visibility: Complexity and Solutions for Grid‐Like Networks

ABSTRACT Networks are often modeled using graphs, and within this setting we introduce the notion of ‐fault‐tolerant mutual visibility. Informally, a set of vertices in a graph is a ‐fault‐tolerant mutual‐visibility set (‐ftmv set) if any two non‐adjacent vertices in are connecte...

On association between the research performance of academic advisors and their PhD students

Abstract In this paper, we examine whether and how the research performance of advisors is associated with that of their PhD students. We analyze the entire population of PhD students in Slovenia who successfully defended their theses, along with their advisors, between 1988 and...

Fetal Magnetocardiography Using Optically Pumped Magnetometers: A Literature Review

Fetal magnetocardiography (fMCG) provides direct non-invasive assessment of fetal cardiac electrophysiology, enabling detailed evaluation of cardiac rhythm, conduction, and repolarization. However, the clinical adoption of conventional fMCG has been limited by its reliance on sup...

The free F-restriction semigroups

Abstract We provide a geometric model for the free X -generated F -restriction semigroup in the extended signature $${(\cdot , ^+,^{\mathfrak {m}},\lambda )}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>(</mml:mo> <mml:mo>·</mml:mo> <mml:msup> <m...