81. Ali in koliko poznamo izbrane neologizme, pozabnice in igre besed : Raziskovalna naloga pri predmetu Pomenoslovje in besedotvorjeTeja Breznik, Anika Černigoj, Anja Kolar, Ana Rihar, Ana Soldat, Meta Stergar, Maša Zidar, Tanja Žuvela, other educational material Abstract: V raziskovalni nalogi so združene seminarske naloge, ki so jih študentke opravljale pri predmetu Pomenoslovje in besedotvorje. Z anketami so preverjale, ali sodelujoči poznajo in uporabljajo izbrane izraze in ali predlagajo drugačna poimenovanja. Analiza je zajemala tri skupine izrazov – neologizme, pozabnice in besedne igre. Keywords: pomenoslovje, besedotvorje, pozabnice, neologizmi, igre besed Published in RUP: 10.01.2022; Views: 1392; Downloads: 54 Full text (806,46 KB) |
82. Some remarks on Balaban and sum-Balaban indexMartin Knor, Jozef Komorník, Riste Škrekovski, Aleksandra Tepeh, 2020, original scientific article Abstract: In the paper we study maximal values of Balaban and sum-Balaban index, and correct some results appearing in the literature which are only partially correct. Henceforth, we were able to solve a conjecture of M. Aouchiche, G. Caporossi and P. Hansen regarding the comparison of Balaban and Randić index. In addition, we showed that for every k and large enough n, the first k graphs of order n with the largest value of Balaban index are trees. We conclude the paper with a result about the accumulation points of sum-Balaban index. Keywords: topological index, Balaban index, sum-Balaban index, Randić index Published in RUP: 03.01.2022; Views: 1080; Downloads: 22 Full text (310,27 KB) |
83. Regular antilatticesKarin Cvetko-Vah, Michael Kinyon, Jonathan Leech, Tomaž Pisanski, 2019, original scientific article Abstract: Antilattices ▫$(S; \vee, \wedge)$▫ for which the Green's equivalences ▫$\mathcal{L}_{(\vee)}$▫, ▫$\mathcal{R}_{(\vee)}$▫, ▫$\mathcal{L}_{(\wedge)}$▫ and ▫$\mathcal{R}_{(\wedge)}$▫ are all congruences of the entire antilattice are studied and enumerated. Keywords: noncommutative lattice, antilattice, Green's equivalences, lattice of subvarieties, enumeration, partition, composition Published in RUP: 03.01.2022; Views: 1146; Downloads: 16 Full text (308,07 KB) |
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85. 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: 991; Downloads: 16 Full text (354,73 KB) |
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88. Total positivity of Toeplitz matrices of recursive hypersequencesTomislav Došlić, Ivica Martinjak, Riste Škrekovski, 2019, original scientific article Keywords: total positivity, totally positive matrix, Toeplitz matrix, Hankel matrix, hyperfibonacci sequence, log-concavity Published in RUP: 03.01.2022; Views: 876; Downloads: 26 Full text (254,44 KB) |
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90. 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: 987; Downloads: 19 Full text (355,79 KB) |