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The use of digital technology in connection with physical/sports activity of preschool children of the first age period
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Gastronomska dediščina Vojvodine kot izziv za razvoj gastronomskega turizma na območju Novega Sada
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Invarianta grupe PGU(3, q) v hermitskem funkcijskem obsegu
No full textLet F = F|K be a function field over an algebraically closed constant field K of positive characteristic p. For a K-automorphism group G of F, the invariant of G is the fixed field FG of G. If F has transendency degree 1 (i.e. F is the function field of an irreducible curve) and FG is rational, then each generator of FG uniquely determines FG and it makes sense to call each of them the invariant of G. In this paper, F is the Hermitian function field K(Hq)=K(x,y) with yq + y − xq + 1 = 0 and q = pr. We determine the invariant of Aut(K(Hq)) cong PGU(3,q), and discuss some related questions on Galois subcovers of maximal curves over finite fields
Problemi, povezani z ekstremalnimi položaji grafov
No full textThe general position number of a graph G is the size of the largest set of vertices S such that no geodesic of G contains more than two elements of S. The monophonic position number of a graph is defined similarly, but with `induced path\u27 in place of `geodesic\u27. In this paper we investigate some extremal problems for these parameters. Firstly we discuss the problem of the smallest possible order of a graph with given general and monophonic position numbers. We then determine the asymptotic order of the largest size of a graph with given general or monophonic position number, classifying the extremal graphs with monophonic position number two. Finally we establish the possible diameters of graphs with given order and monophonic position number.Splošno položajno število grafa G je velikost najvecje množice točk S z lastnostjo, da nobena geodetka grafa G ne vsebuje vec kot dva elementa množice S. Monofonsko položajno število grafa definiramo podobno, le da ‘geodetko’ zamenjamo z ‘inducirano potjo’. V tem članku raziščemo nekatere ekstremalne probleme v zvezi s tema dvema parametroma. Najprej obravnavamo problem najmanjšega možnega reda grafa z danim splošnim in monofonskim pozicijskim številom. Potem dolocimo asimptotski red največje velikosti grafa z danim splošnim ali monofonskim pozicijskim številom in klasificiramo ekstremalne grafe z monofonskim pozicijskim številom dve. Nazadnje določimo možne premere grafov z danim redom in monofonskim pozicijskim številom
Supersimetrične preslikave iz diedrskih grup
No full textIn 1976, S. Wilson proposed to study a family of regular self-dual and self-Petrie-dual maps arising from groups of order 8n^3 defined by a specific presentation. Later on, in 2014, D. Archdeacon, M. Conder and J. Širáň proved that these maps are super-symmetric, that is, not only exhibiting all self-dualities but also all admissible exponents. Furthermore, in 2016, G. A. Jones suggested that it should be possible to obtain the same family by the means of a parallel product of maps arising from 2-extensions of dihedral groups of order 2n. In this paper we verify this suggestion for odd values of nfor even n we show that the parallel product construction gives maps that are quotients of Wilson’s maps by a normal subgroup of order 2