1. Divergence zero quaternionic vector fields and Hamming graphsJasna Prezelj, Fabio Vlacci, 2020, izvirni znanstveni članek Opis: 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 ▫$(2, 2)$▫. Ključne besede: quaternionic power series, bidegree full functions, Hamming graph, linearly independent quaternionic monomials Objavljeno v RUP: 03.01.2022; Ogledov: 838; Prenosov: 16 Celotno besedilo (354,73 KB) |
2. Splittable and unsplittable graphs and configurationsNino Bašić, Jan Grošelj, Branko Grünbaum, Tomaž Pisanski, 2019, izvirni znanstveni članek Opis: 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. Ključne besede: configuration of points and lines, unsplittable configuration, unsplittable graph, independent set, Levi graph, Grünbaum graph, splitting type, cyclic Haar graph Objavljeno v RUP: 03.01.2022; Ogledov: 847; Prenosov: 19 Celotno besedilo (355,79 KB) |
3. Populacijska dinamika polipov uhatega klobučnjaka (Aurelia aurita s.l.) : vpogled z vidika modeliranjaSara Hočevar, 2016, magistrsko delo Ključne besede: polyps, aurelia aurita, population dynamics, polyp density, density-dependent effects, density-independent effects, modelling, carrying capacity, growth rate Objavljeno v RUP: 19.07.2021; Ogledov: 1071; Prenosov: 22 Povezava na celotno besedilo |
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, izvirni znanstveni članek Ključne besede: combinatorial reconfiguration, independent set, token jumping, token sliding, parameterized complexity Objavljeno v RUP: 16.07.2021; Ogledov: 913; Prenosov: 25 Povezava na celotno besedilo |
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, objavljeni znanstveni prispevek na konferenci Ključne besede: combinatorial reconfiguration, independent set, token jumping, token sliding, parameterized complexity Objavljeno v RUP: 17.12.2020; Ogledov: 1141; Prenosov: 33 Povezava na celotno besedilo |
6. Mind the independence gapTinaz Ekim, Didem Gozüpek, Ademir Hujdurović, Martin Milanič, 2020, izvirni znanstveni članek Ključne besede: maximal independent set, independent dominating set, well-covered graph, hereditary independence gap, polynomial-time algorithm, NP-hard problem Objavljeno v RUP: 19.05.2020; Ogledov: 1519; Prenosov: 57 Povezava na celotno besedilo |
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