1. The Sierpiński product of graphsJurij Kovič, Tomaž Pisanski, Sara Sabrina Zemljič, Arjana Žitnik, 2023, original scientific article Abstract: In this paper we introduce a product-like operation that generalizes the construction of the generalized Sierpiński graphs. Let ▫$G, \, H$▫ be graphs and let ▫$f: V(G) \to V(H)$▫ be a function. Then the Sierpiński product of graphs ▫$G$▫ and ▫$H$▫ with respect to ▫$f$▫, denoted by ▫$G\otimes_f H$▫, is defined as the graph on the vertex set ▫$V(G) \times V(H)$▫, consisting of ▫$|V(G)|$▫ copies of ▫$H$▫; for every edge ▫$\{g, g'\}$▫ of ▫$G▫$ there is an edge between copies ▫$gH$▫ and ▫$g'H$▫ of form ▫$\{(g, f(g'), (g', f(g))\}$▫. Some basic properties of the Sierpiński product are presented. In particular, we show that the graph ▫$G\otimes_f H$▫ is connected if and only if both graphs ▫$G$▫ and ▫$H$▫ are connected and we present some conditions that ▫$G, \, H$▫ must fulfill for ▫$G\otimes_f H$▫ to be planar. As for symmetry properties, we show which automorphisms of ▫$G$▫ and ▫$H$▫ extend to automorphisms of ▫$G\otimes_f H$▫. In several cases we can also describe the whole automorphism group of the graph ▫$G\otimes_f H$▫. Finally, we show how to extend the Sierpiński product to multiple factors in a natural way. By applying this operation ▫$n$▫ times to the same graph we obtain an alternative approach to the well-known ▫$n$▫-th generalized Sierpiński graph. Keywords: Sierpiński graphs, graph products, connectivity, planarity, symmetry Published in RUP: 06.11.2023; Views: 253; Downloads: 3 Full text (526,44 KB) |
2. Archaeological tourism products : towards a concept definitionKatharina Zanier, Tajda Senica, 2023, original scientific article Keywords: archaeological tourism, archaeological tourism products, cultural tourism, cultural tourism products, archaeological parks, archaeological routes, archaeological heritage management, sustainable development Published in RUP: 03.11.2023; Views: 286; Downloads: 3 Full text (216,69 KB) |
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7. Life cycle assessment - opportunities for forest products sectorAndreja Kutnar, Callum A. S. Hill, 2017, original scientific article Keywords: environmental impact, environmental product declaration (EPD), forest products, life cycle assessment (LCA), O-LCA, product category rules (PCR), S-LCA, wood Published in RUP: 15.11.2017; Views: 3018; Downloads: 92 Link to full text |
8. Compressed and moulded wood from processing to products - a reviewAndreja Kutnar, Dick Sandberg, Peer Haller, 2015, original scientific article Keywords: bending, densification, shaping, thermal treatment, thermo- hydro- mechanical treatment, thermo-hydro treatment, wood products Published in RUP: 15.10.2015; Views: 2992; Downloads: 146 Link to full text |
9. Agro-food exports variety from the Central and Eastern European countriesŠtefan Bojnec, Imre Fertő, 2012, original scientific article Abstract: This paper analyses the agro-food exports variety from twelve Central and Eastern European countries (CEECs) to the European Union (EU) during the years 1995-2007. The panel regression models explain the agro-food exports by its previous year, income in the importing EU countries, and measure of agro-food export product variety, while the real exŽchange rate appreciation of the CEECcurrencies has negatively influenced agro-food exports. The EU enlargement with the reduction in agricultural protection and the borderless single market has induced agro-food export increases in primary agŽricultural produce and intermediate food-processed products, but less in higher value-added food-processed differentiated products. The impact of increased number of CEECs agro-food product varieties on agro-food export to the EU is positive. Keywords: export variety, agro-food products, Central and Eastern European countries, European Union Published in RUP: 15.10.2013; Views: 4968; Downloads: 107 Link to full text |
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