Katedra matematiky / Department of Mathematics

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Recent Submissions

Holub, Přemysl , Lužar, Borut , Mihaliková, Erika , Mockovčiaková, Martina , Soták, Roman
Star Edge-Coloring of Square Grids

A star edge-coloring of a graph G is a proper edge-coloring without bichromatic paths and cycles of length four. The smallest integer k such that G admits a star edge-coloring with k colors is the star chromatic index of G. In the seminal paper on the topic, Dvo...

Ekstein, Jan , Fleischner, Herbert
A Best Possible Result for the Square of a 2-Block to be Hamiltonian

It is shown that for any choice of four different vertices x_1,...,x_4 in a 2-block G of order p>3, there is a hamiltonian cycle in G^2 containing four different edges x_iy_i of E(G) for certain vertices y_i, i=1,2,3,4. This result is best possible.

Holubová, Gabriela , Janoušek, Jakub
Suspension bridges with non-constant stiffness: bifurcation of periodic solutions

We consider a modified version of a suspension bridge model with a spatially variable stiffness parameter to reflect the discrete nature of the placement of the bridge hangers. We study the qualitative and quantitative properties of this model and compare the cases of constant ...

Marek, Patrice , Vávra, František
Comparison of Home Advantage in European Football Leagues

Home advantage in sports is important for coaches, players, fans, and commentators and has a key role in sports prediction models. This paper builds on results of recent research that—instead of points gained—used goals scored and goals conceded to describe home advantage. This off...

Chhetri, Maya , Drábek, Pavel , Shivaji, Ratnashingham
Influence of singular weights on the asymptotic behavior of positive solutions for classes of quasilinear equations

Main objective of this paper is to study positive decaying solutions for a class of quasilinear problems with weights. We consider one dimensional problems on an interval which may be finite or infinite. In particular, when the interval is infinite, unlike the known cases in&#...