1. Divergence zero quaternionic vector fields and Hamming graphsJasna Prezelj, Fabio Vlacci, 2020, original scientific article Abstract: We give a possible extension of the definition of quaternionic power series, partial derivatives and vector fields in the case of two (and then several) non commutative (quaternionic) variables. In this setting we also investigate the problem of describing zero functions which are not null functions in the formal sense. A connection between an analytic condition and a graph theoretic property of a subgraph of a Hamming graph is shown, namely the condition that polynomial vector field has formal divergence zero is equivalent to connectedness of subgraphs of Hamming graphs ▫$H(d, 2)$▫. We prove that monomials in variables ▫$z$▫ and ▫$w$▫ are always linearly independent as functions only in bidegrees ▫$(p, 0)$▫, ▫$(p, 1)$▫, ▫$(0, q)$▫, ▫$(1, q)$▫ and ▫$(2, 2)$▫. Keywords: quaternionic power series, bidegree full functions, Hamming graph, linearly independent quaternionic monomials Published in RUP: 03.01.2022; Views: 932; Downloads: 16 Full text (354,73 KB) |
2. Splittable and unsplittable graphs and configurationsNino Bašić, Jan Grošelj, Branko Grünbaum, Tomaž Pisanski, 2019, original scientific article Abstract: We prove that there exist infinitely many splittable and also infinitely many unsplittable cyclic ▫$(n_3)$▫ configurations. We also present a complete study of trivalent cyclic Haar graphs on at most 60 vertices with respect to splittability. Finally, we show that all cyclic flag-transitive configurations with the exception of the Fano plane and the Möbius-Kantor configuration are splittable. Keywords: configuration of points and lines, unsplittable configuration, unsplittable graph, independent set, Levi graph, Grünbaum graph, splitting type, cyclic Haar graph Published in RUP: 03.01.2022; Views: 945; Downloads: 19 Full text (355,79 KB) |
3. Populacijska dinamika polipov uhatega klobučnjaka (Aurelia aurita s.l.) : vpogled z vidika modeliranjaSara Hočevar, 2016, master's thesis Keywords: polyps, aurelia aurita, population dynamics, polyp density, density-dependent effects, density-independent effects, modelling, carrying capacity, growth rate Published in RUP: 19.07.2021; Views: 1193; Downloads: 22 Link to full text |
4. On girth and the parameterized complexity of token sliding and token jumpingValentin Bartier, Nicolas Bousquet, Clément Jean Dallard, Kyle Lomer, Amer E. Mouawad, 2021, original scientific article Keywords: combinatorial reconfiguration, independent set, token jumping, token sliding, parameterized complexity Published in RUP: 16.07.2021; Views: 1006; Downloads: 26 Link to full text |
5. On girth and the parameterized complexity of token sliding and token jumpingValentin Bartier, Nicolas Bousquet, Clément Jean Dallard, Kyle Lomer, Amer E. Mouawad, 2020, published scientific conference contribution Keywords: combinatorial reconfiguration, independent set, token jumping, token sliding, parameterized complexity Published in RUP: 17.12.2020; Views: 1240; Downloads: 33 Link to full text |
6. Mind the independence gapTinaz Ekim, Didem Gozüpek, Ademir Hujdurović, Martin Milanič, 2020, original scientific article Keywords: maximal independent set, independent dominating set, well-covered graph, hereditary independence gap, polynomial-time algorithm, NP-hard problem Published in RUP: 19.05.2020; Views: 1653; Downloads: 57 Link to full text |
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