Mathematical Institute of the Slovak Academy of Sciences

Tame Symmetric Algebras of Period Four with Small Gabriel Quivers

The tame symmetric algebras of period four, TSP4 algebras for short, form an important class of algebras, with interesting connections to various branches of modern algebra. The study of this class has been recently developed in two major directions. The first embraces new classe...

Joint economic and epidemiological modelling of alternative pandemic response strategies

Abstract In an emerging pandemic, policymakers need to make decisions with limited information and require trade-offs between the health impact of the pandemic and the economic costs of the response. Most mathematical models have focused on direct health impacts, neglecting the e...

Orthogonality related to Steiner and Pappus chains

The focus of this paper is on the study of specific circle formations known as orthogonal Pappus chains and the related incidence results that involve points of tangency between the circles in the construction. Using circle inversion as a key tool, it is shown that these chains g...

The case for using flexible healthcare capacity constraints to optimize pandemic control strategies

Abstract During the COVID-19 pandemic, a key challenge was designing control strategies that balance the benefits and costs of public health measures while preventing healthcare systems from becoming overwhelmed. This was often addressed by epidemiological modellers by implementi...