Matej Bel University

About: Matej Bel University is a education organization based out in Banská Bystrica, Slovakia. It is known for research contribution in the topics: Tourism & Fuzzy set. The organization has 721 authors who have published 1497 publications receiving 11573 citations. The organization is also known as: Matej Bel & Univerzita Mateja Bela.

Harmonic morphisms of graphs and the Riemann–Hurwitz theorem

Abstract: Several versions of the Riemann–Hurwitz theorem for branched coverings of graphs are presented. A larger class of graphs which may have not only multiple edges but also loops and darts is considered. This makes it possible to render the class of graphs closed with respect to morphisms arising as quotient maps for actions of finite groups.

The symmetric Choquet integral with respect to Riesz-space-valued capacities

Abstract: A definition of “Sipos integral” is given, similarly to [3], [5], [10], for real-valued functions and with respect to Dedekind complete Riesz-space-valued “capacities”. A comparison of Choquet and Sipos-type integrals is given, and some fundamental properties and some convergence theorems for the Sipos integral are proved.

The impact of the board process on board and corporate performance: the case of Slovakia

Abstract: Nowadays a great deal of attention is paid to corporate governance (CG). Frequent takeovers of ownership rights by management bodies led to a need for business owners to establish clear rules for business management and compliance monitoring. The aim of this paper is to examine the relationship between selected characteristics of the governance process and the ability of governing bodies to perform their core tasks, as well as to model and predict the impact of the selected characteristics of the governance process on the company’s financial performance, measured by the year-on-year change in return on equity. The respondent sample consists of members of randomly selected top management entities with their headquarters in Slovakia. A total of 132 subjects participated and answered questions in the survey, 54% of which were joint stock companies, 36% were limited liability companies and 10% were respondents from cooperatives. Data were personally collected by a questionnaire survey conducted during 2019. To verify the assumptions and success of the formulated model, correlation analysis, binary logistic regression and other relevant tests were used. The results show that each of the examined board process attributes significantly affects at least one board performance attribute. All significant correlations have a positive value. Independent variables in the ROE regression model increased the estimation rate of ROE change from 54.5% to 93.9%. The model is applicable in the CG practice and allows the prediction of changes in ROE with respect to ongoing governance processes. Janka Grofcikova (Slovak Republic), Hussam Musa (Slovak Republic)