Portraits of Complex Networks

We propose a method for characterizing large complex networks by introducing a new matrix structure, unique for a given network, which encodes structural information; provides useful visualization, even for very large networks; and allows for rigorous statistical comparison between networks. Dynamic processes such as percolation can be visualized using animations. Applications to graph theory are discussed, as are generalizations to weighted networks, real-world network similarity testing, and applicability to the graph isomorphism problem.Comment: 6 pages, 9 figure

"Clumpiness" Mixing in Complex Networks

Three measures of clumpiness of complex networks are introduced. The measures quantify how most central nodes of a network are clumped together. The assortativity coefficient defined in a previous study measures a similar characteristic, but accounts only for the clumpiness of the central nodes that are directly connected to each other. The clumpiness coefficient defined in the present paper also takes into account the cases where central nodes are separated by a few links. The definition is based on the node degrees and the distances between pairs of nodes. The clumpiness coefficient together with the assortativity coefficient can define four classes of network. Numerical calculations demonstrate that the classification scheme successfully categorizes 30 real-world networks into the four classes: clumped assortative, clumped disassortative, loose assortative and loose disassortative networks. The clumpiness coefficient also differentiates the Erdos-Renyi model from the Barabasi-Albert model, which the assortativity coefficient could not differentiate. In addition, the bounds of the clumpiness coefficient as well as the relationships between the three measures of clumpiness are discussed.Comment: 47 pages, 11 figure

Karakterizacija nove dentalne zlitine z visoko vsebnostjo Au

The basis for developing a new dental alloy with high Au content is appropriate chemical composition and manufacturing technology. This new Au dental alloy is based on the ternary system of Au-Pt-Zn with a nominal composition of 88.5Au-8.7Pt-1.5Zn-0.5In-0.4Ir-0.3Rh. The alloy was melted and cast in a vacuum-induction melting furnace in Zlatarna Celje. Casting was followed with subsequent thermo-mechanical treatment (procedures of profile and polish milling, thermal treatment) and cutting-off strips to form a regular shape. The heat treatments of Au alloy samples were carried out in a tube furnace under different temperatures, and over different times. Testing of the new Au dental alloy included examining the initial cast, and the different heat treated conditions of the Au alloy. The optical properties of Au-dental alloy were investigated by means of spectrophotometric colourimetry. Finally the test of cytotoxicity of new Au based dental alloys using standard in vitro assays for testing the biocompatibility with establishing new, more sensitive, in vitro tests on cell lines was done.Osnovo razvoja nove dentalne zlitine z visoko vsebnostjo Au predstavljata pravilna določitev kemijske sestave in tehnologije izdelave. Nova dentalna zlitina temelji na ternarnem sistemu of Au-Pt-Zn z nominalno kemijsko sestavo 88,5Au-8,7Pt-1,5Zn-0,5In-0,4Ir-0,3Rh. Izdelava dentalne zlitine je potekala s pretaljevanjem zelo čistih komponent v vakuumski indukcijski peči v Zlatarni Celje. Temu je sledilo odlivanje taline v ustrezno formo, postopek termo-mehanske obdelave odlitka in razrez zlitine v ustrezno obliko. Toplotna obdelava je bila izvedena pri različnih temperaturah in za različne čase. Testiranje dentalne zlitine je vključevalo določitev lastnosti začetnega stanja in stanja po različnih toplotnih obdelavah. Optične lastnosti dentalne zlitine so bile raziskane s spektro-fotometrično kolorimetrijo. Na novi Au dentalni zlitini so bili narejeni še testi citotoksičnosti z uporabo standardain vitro analize za testiranje biokompatibilnosti z uvajanjem novih, bolj občutljivih in vitro testov na celični liniji

"Clumpiness" Mixing in Complex Networks

Three measures of clumpiness of complex networks are introduced. The measures quantify how most central nodes of a network are clumped together. The assortativity coefficient defined in a previous study measures a similar characteristic, but accounts only for the clumpiness of the central nodes that are directly connected to each other. The clumpiness coefficient defined in the present paper also takes into account the cases where central nodes are separated by a few links. The definition is based on the node degrees and the distances between pairs of nodes. The clumpiness coefficient together with the assortativity coefficient can define four classes of network. Numerical calculations demonstrate that the classification scheme successfully categorizes 30 real-world networks into the four classes: clumped assortative, clumped disassortative, loose assortative and loose disassortative networks. The clumpiness coefficient also differentiates the Erdos-Renyi model from the Barabasi-Albert model, which the assortativity coefficient could not differentiate. In addition, the bounds of the clumpiness coefficient as well as the relationships between the three measures of clumpiness are discussed.Comment: 47 pages, 11 figure

Views of Teachers,School Counsellors and Parents on the Importanceof Their Mutual Co-operation

In this paper we focus on the role of some factors of quality co-operation between the school and the home, particularly on the views of parents, teachers and counselling workers on the quality of their mutual co-operation. The empirical research was carried out on a representative sample of primary school teachers together with primary and secondary school counsellors and parents of children who attended the third, fifth/sixth and ninth primary school grades in Slovenia. One of the main findings is that teachers, counselling workers and parents are aware of the importance of their mutual co-operation. In general, most schools exhibit great readiness and a favourable atmosphere for co-operating with parents. Parents also experience a high level of the school’s or teachers’ readiness to co- operate with them. However, at the same time, the data warns that co-operation could be improved in many cases. It is up to schools, teachers and counsellors to find what to improve and how

School counselling work in Slovenia: between the normative and the ethic

This paper casts light on some formal aspects and aspects of professional ethics that bind and direct school counsellors in their work. Some basic principles of ethical treatment are presented, with focus on the principle of confidentiality and dilemmas that appear in its application. In striking a balance bet ween the ethical and legal aspects in counselling work with children/pupils it is important that the counsellor accepts parents, teachers, head staff and other experts as allies and partners in the counselling process, as these people most often offer assistance to the child/pupil who is in need of help

Uporaba klasičnih in sodobnih kartografskih učil za poučevanje geografije: Od Blaža Kocena do danes

This article presents cartographic teaching materials used in two different periods: the second half of the nineteenth century and the beginning of the 2020s. During the first period examined, the works of Blaž Kocen (also Blasius Kozenn) laid the foundations of school cartography in the Habsburg Monarchy. The most highly valued among them in central Europe were his atlases, which have the longest tradition of publishing in the world. In the second period, technological development and the COVID-19 pandemic laid the foundations for a faster transition to digital approaches to teaching. This article examines the use of maps, atlases, and textbooks by Slovenian geography teachers to determine whether modern (digital) teaching materials have replaced or will replace the traditional (paper) ones. It was established that the use of printed cartographic materials continues to predominate in geography teaching, which indirectly preserves the importance of Kocen’s pioneering and visionary work.Namen članka je predstaviti kartografska učila dveh obdobij: v drugi polovici 19. stoletja in na začetku 21. stoletja. V prvem obdobju je Blaž Kocen s svojimi deli postavil didaktične temelje šolske kartografije na območju habsburške monarhije. V Srednji Evropi so bili strokovno najbolj cenjeni njegovi geografski atlasi, ki imajo najdaljšo tradicijo izhajanja na svetu. V drugem obdobju pa sta tehnični razvoj in pandemija postavila temelje za hitrejši prehod na digitalne didaktične pristope. V raziskavi smo preučili uporabo zemljevidov, atlasov in učbenikov pri slovenskih učiteljih geografije ter ugotavljali ali so oziroma bodo sodobna (digitalna) učila zamenjala klasične (papirne). Ugotovili smo, da pri pouku geografije še vedno prevladuje uporaba tiskanih kartografskih učil, s čimer se posledično ohranja pionirski in vizionarski pomen Kocenovega dela

THE ROLE OF THE SCHOOL COUNSELLOR IN SCHOOL–COMMUNITY COLLABORATION: THE CASE OF SLOVENIA

The article presents some essential characteristics of collaboration between the school counselling service and individuals or institutions in the community. The role of school counselling in Slovenia is not limited merely to counselling and providing direct assistance to students with learning and their personal development. Rather, it includes the encouragement of all participants in the educational process to create adequate learning environments. The role, however, should also be understood in broader terms as organizational and content collaboration with external environments, institutions and individuals in the community. The authors begin by proposing some starting points for collaboration between the school counselling service and the local community and, in the second part of the article, they move on to the findings of their empirical research study, conducted on a representative sample of school counsellors working in Slovenian primary schools. The results prove the need for collaboration between the school counselling service and different institutions or individuals in the community. The authors primarily focus on examining the obstacles and drawbacks to the collaboration, while they simultaneously highlight examples of good practice that enable constructive collaboration, without which schools and school-based counselling would not be able to contribute to educational processes. The described examples demonstrate that collaboration between schools/school counsellors and institutions/individuals in the community is crucial to solving the problems that students and their families face

Numeričko predviđanje izobličenja nakon zavarivanja s različnim slijedom zavarivanja i spajanja

Welding simulation of a test cover for hydropower plant was made due to very large dimensions of the cover. The main aim was to predict distortion after welding in order to avoid machining the cover. Welding process was simulated with the Sysweld program to keep distortion in desired limits. Various welding sequences and clamping conditions were calculated to reduce the distortion. Calculation of microstructure constituents in virtual complex geometry of joints was also analyzed.Simulacija zavarivanja testnog pokrova hidroelektrane provedena je zbog velikih dimenzija ispitne prevlake. Osnovni je cilj predvidjeti izobličenje nakon zavarivanja. Radi postizanja veličine izobličenja u željenim granicama proces zavarivanja je simuliran programom Sysweld. Različiti tijekovi zavarivanja i uvjeta spajanja prorač unati su radi smanjenja izobličenja. Određivanje mikrostrukturnih konstituenata u virtualnoj komleksnoj geometriji spojeva je također provedeno