Combinatorial algorithm for counting small induced graphs and orbits

Graphlet analysis is an approach to network analysis that is particularly popular in bioinformatics. We show how to set up a system of linear equations that relate the orbit counts and can be used in an algorithm that is significantly faster than the existing approaches based on direct enumeration of graphlets. The algorithm requires existence of a vertex with certain properties; we show that such vertex exists for graphlets of arbitrary size, except for complete graphs and $C_4$, which are treated separately. Empirical analysis of running time agrees with the theoretical results

Usability of virtual reality in construction industry

Construction is a sector where new technologies are implemented slowly and are still behind western\ud countries. The need for a transfer to newer technologies is connected to bussiness success of a company,\ud even though new approaches increas productivity for the employees.\ud Thesis will present implementations and technologies from a field of virtual reality (VR) that could be\ud used in the contruction industry. Virtuality is described along with its variations that link fields between\ud reality and virtuality. Two products will be presented, SmartReality and Microsofts HoloLens, along\ud with their usage in the field of construction. Strong incentive is also presented to show a future\ud development of a given sector, its strenghts and weaknesses along with their technical limitations. Both\ud products are shown in combination with other peripheries like Oculuts rift and Moverio Smart Glasses\ud which increase products usability

Novi nalaz vrste Discina parma Breitenb. & Maas G. (Helvellaceae, Ascomycetes) u Jugoslaviji

Discina parma, opisana tek nedavno u Švicarskoj kao nova vrsta (Breitenbach i Maas Geesteranus 1973) poznata je dosad samo s malo mjesta u Evropi. Autorica ju je prvi put sabrala u Jugoslaviji (Hočevar 1978) a ovdje objavljuje novo nalazište. To je prašumski rezervat Kopa, na Kočevskom Rogu blizu Kočevja (Slovenija). D. parma rasla je tamo u dvije srodne bukove šume, na trulim ležećim deblima bukve, na visini od 1010—1020 m. U Jugoslaviji je ta gljiva ustanovljena samo na bukvi, no na ostalim evropskim nalazištima razvijala se i na drugom drveću, pa još nije sigurno koji joj je najčešći supstrat. U sjevernijim dijelovima njezina dosad poznatog areala lokaliteti su na nižim nadmorskim visinama nego naši, koji su zasad najjužniji. Ako se u našoj zemlji ponovo pronađe, što je vrlo vjerojatno, može se stoga očekivati da će to biti na visinama od blizu 1000 m, a južnije još i višima

Discina parma Breitenb. & Maas G. (Helvellaceae, Ascomycetes) u prašumskim rezervatima u Sloveniji (Jugoslavija)

Discina parma Breitenb. & Mass G. was described in 1973. from Switzerland, where it grew on soil rich in wood remnants in moist forest of Fraxinus, Ulmus, Corylus and Picea, at the alt. 570 m. Later it was found growing on prostrate Fraxinus trunk. Now it has been found in mountainous areas of Slovenia (Yugoslavia): on Gorjanci, at an altitude of 1080 m, in beech forest (Isopyro-Fagetum Kosir 1962), growing on dead beech bark, branch and trunks, and at Rajhenavski Rog, at 895 m ait., in the fir forest (Abieto-Galietum ocLorati). In the latter locality only some sterile specimens were found, also on beech wood, but, because of their macroscopic similarity and similar ecology, are considered as probably belonging to the same species. The Yugoslav specimens and their spores are somewhat larger than those in the Swiss material, which may be explained by the fact that they were fully mature when collected. It is to be expected that this species will be refound in other beech forests in Yugoslavia, particularly in nature reserves, as well as elsewhere in Europe.Discina parma opisana je 1973. godine iz Švicarske, gdje je rasla u nizinskoj šumi (Fraxinus, Ulmus, Corylus, Picea) u visini od 570 m na tlu bogatom ostacima drveta. U najnovije doba ustanovljena je tamo i na ležećem trulom deblu jasena. U Jugoslaviji je sabrana 9. VI 1976. i 1977. te početkom VI i VII 1978. u Sloveniji u rezervatu Gorjanci na istoimenom gorju, ispod Trdinova vrha, na visini od 1080 m, i to na truloj ležećoj kori, granama, i deblima bukve, u asocijaciji Fago-lsopyretum thalictroidis. Na Kočevskom Rogu, u rezervatu Rajhenavski Rog, na 895 m visine u asocijaciji Abieto-Galietum odorati, nađena su 20. V 1976 tri vrlo mlada primjerka također na ležećem trulom stablu bukve. Iako spore nisu bile razvijene, pa determinacija nije posve sigurna, prema ostalim indicijama najvjerojatnije se radilo također o ovoj vrsti. Primjerci iz Jugoslavije, a također i spore, nešto su veći nego je označeno u dijagnozi, po svoj prilici stoga što su bili posve razvijeni i zreli. U međuvremenu je autorica obaviještena da je ista vrsta nađena 1977. u Njemačkoj, također na bukvi. Prema tome je ovo lignikolna vrsta koja možda preferira bukvu kao podlogu i može se očekivati da raste u nas i u drugtim bukovim šumama, naročito zaštićenim, a također i u drugim dijelovima Evrope