1. On general position sets in Cartesian productsSandi Klavžar, Balázs Patkós, Gregor Rus, Ismael G. Yero, 2021, original scientific article Abstract: The general position number gp(G) of a connected graph G is the cardinality of a largest set S of vertices such that no three distinct vertices from S lie on a common geodesic; such sets are refereed to as gp-sets of G. The general position number of cylinders Pr ◻ Cs is deduced. It is proved that (Cr ◻ Cs)∈{6,7} whenever r ≥ s ≥ 3, s ≠ 4, and r ≥ 6. A probabilistic lower bound on the general position number of Cartesian graph powers is achieved. Along the way a formula for the number of gp-sets in Pr ◻ Ps, where r,s ≥ 2, is also determined.
Keywords: general position problem, Cartesian product of graphs, paths and cycles, probabilistic constructions, exact enumeration
Published in DKUM: 27.08.2024; Views: 39; Downloads: 7
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3. New Approach for Fertiliser Size Assessment Using Contactless ScanningAndrius Laucka, Darius Andriukaitis, Algimantas Valinevicius, Mindaugas Zilys, Dangirutis Navikas, Leonas Balasevicius, Audrius Merfeldas, Roman Sotner, Jan Jerabek, Zhixiong Li, Jožef Ritonja, 2023, original scientific article Keywords: camera, particle, measurement, silhuette, volume, position
Published in DKUM: 22.05.2024; Views: 157; Downloads: 20
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4. General Position Sets in Two Families of Cartesian Product GraphsDanilo Korže, Aleksander Vesel, 2023, original scientific article Abstract: For a given graph G, the general position problem asks for the largest set of vertices S⊆V(G) , such that no three distinct vertices of S belong to a common shortest path of G. The general position problem for Cartesian products of two cycles as well as for hypercubes is considered. The problem is completely solved for the first family of graphs, while for the hypercubes, some partial results based on reduction to SAT are given.
Keywords: general position set, cartesian product, hypercube, SAT
Published in DKUM: 02.04.2024; Views: 256; Downloads: 22
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6. Analyzing the energy analysis tool (The Autodesk Insight 360) of BIM during the early stages of the design process in terms of window factors in a single-family houseFatemeh Boloorchi, 2022, original scientific article Abstract: In designing eco-buildings, windows play a big part in minimizing the energy load. There has not been any easy-to-use software to speed up the process, even after many recent studies about environment-friendly window size, shading, position, and material. Thus, a single-family house with simple geometry in Kvemelto karti, Georgia, was simulated to introduce an alternative method to manage this gap. A building information model (BIM) was devised for this procedure through Autodesk Revit® due to its simplicity, popularity, interoperability and convenience among its users. Not to mention, the energy analysis tool (The Autodesk Insight 360) in Revit (BEM) displays the total energy load while, in this case, focusing on window size, position, material, and shading executed by Autodesk Green Building Studio®. The early energy analysis (the optimum window-to-wall ratio (WWR), the windows’ location in the wall, material, and shading) suggested by BEM does not give enough information to apply in the early stages of design and create a net-zero-energy building. The aim is to show the gap between data-driven from BEM and design strategies and to display the information required to be more detailed. For this purpose, after using Insight 360 (a web-based tool) for investigating window shades, material, and WWR, it has been concluded that there is a need for a more convenient way to automate the process in more depth. They could help to pick a viable widow shading, size, position, and material. Besides, choosing determined factors using just BEM is not practical because detailed characteristics of window factors as determining elements are not defined. This tool has its limitations.
Keywords: window size, window material, widow shadings, window position
Published in DKUM: 13.07.2023; Views: 456; Downloads: 61
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7. Miniature magneto-optic angular position sensorVedran Budinski, Simon Pevec, Stanislav Čampelj, Alenka Mertelj, Darja Lisjak, Denis Đonlagić, 2022, original scientific article Abstract: This Letter describes a miniature Fabry–Perot, contactless, magneto-optic sensor for angular position measurement. The sensor utilizes a magneto-optic fluid comprising barium hexaferrite nanoplatelets that become birefringent in the presence of an external magnetic field and a compact fiber-optic sensor system for tracking the liquid’s optical axis direction. An efficient temperature compensation system is provided which allows the use of otherwise highly temperature-sensitive magneto-optic liquids. An unambiguous measurement range of 90° and a resolution of better than 0.05° are demonstrated experimentally.
Keywords: Fiber optic sensor, magneto-optic sensor, angular position measurement
Published in DKUM: 12.05.2023; Views: 623; Downloads: 97
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8. A new approach to rebates after Intel caseSandra Fišer Šobot, 2018, original scientific article Abstract: Although heated debates are quite common in the law on abuses of dominant position, it is not an exaggeration to state that Intel case has generated an unusual storm of comments and discussions. In 2009, the European Commission fined Intel 1.06 billion % for abusing dominant position by granting exclusivity rebates. In 2014, the General Court rendered judgment in support of the European Commission's decision. In 2017, the Court of Justice of the European Union set aside that judgment and referred the case back to the General Court in order for it to examine Intel's arguments regarding the capacity of the rebates at issue to restrict competition. This long awaited ruling in the Intel case is so far one of the most important judgments regarding exclusivity rebates and Art. 102 TFEU enforcement. The paper addresses relevant issues and conclusions in relation to the exclusivity rebates. Additionally, the author attempts to assess possible effects and implications of the Courts of Justice's judgment.
Keywords: Art. 102 TFEU, abuse of dominant position, exclusivity rebates, the "as efficient competitor" test, effects-based approach
Published in DKUM: 15.01.2021; Views: 787; Downloads: 23
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9. The criminal offense of abuse of position or trust in business activity and the limits of free economic initiativeZlatan Dežman, 2017, original scientific article Abstract: The criminal offense of abuse of position or trust in business activity within the meaning of the Slovenian Criminal Code is the most common criminal offense against the economy. To adequately assess such an offense it is essential to clarify at the very beginning of the criminal proceedings that all preliminary questions have their origin in the field of civil, corporative and commercial law. In other words, the difficulty of problem solving for such cases in later stages of the process only intensifies, as the decision-making process becomes more and more difficult and can cause delays. And even in cases where the facts are undisputed, the whole issue concentrates primarily around the dispute regarding the issue of material criminal law. The purpose of this paper is to present the above mentioned issues, firstly from a more theoretical perspective on freedom of economic (business) initiative in a postmodern era, followed by a presentation of the criminal law subsystem dealing also with phenomena from the economic subsystem, and lastly by a presentation of the Slovenian Criminal Code in regards to prosecution and adjudication of economic crimes and its difficulties, specifically by using the example of the above mentioned offense.
Keywords: free economic initiative, criminal offense of abuse of position or trust in business activity, standard of good businessman, blanket criminal offense, factual questions, legal questions, legal description of the offense
Published in DKUM: 02.08.2018; Views: 1557; Downloads: 91
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10. Introduction to copyright and collective management in competition lawJorg Sladič, 2013, original scientific article Abstract: Copyright is an absolute intellectual property right. Historically it is of territorial nature. One of the central issues of copyright is the remuneration of authors. A copyright confers to its holder a legal monopoly comprising certain economic rights that are granted for pecuniary consideration. The economically most efficient way of management of copyright's pecuniary consideration is the collective management. However, collective management covers due to territorial nature of copyright only territory of a certain state. In competition law that might be considered as a monopoly by collecting societies limited to borders of states, in other words there are issues of a possible abuse of a dominant position.
Keywords: copyright, common law, droit d'auteur, civil law, collective management, intellectual property rights, dominant position, abuse of a dominant position, principle of solidarity, copyright related market, search market
Published in DKUM: 01.08.2018; Views: 1300; Downloads: 331
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