11. Uniform equations for bipartite graphs and the center of a Terwilliger algebraŠtefko Miklavič, Giusy Monzillo, 2026, izvirni znanstveni članek Opis: The uniform property was introduced by P. Terwilliger in the context of graded posets and was later extended to connected bipartite graphs. The core of this definition involves the so called uniform equations that must be satisfied. Let Γ denote a connected bipartite graph. Fix a vertex x of Γand let T=T(x) denote the corresponding Terwilliger algebra. In this paper, we study the connections between the uniform equations and the center of T. We show that these uniform equations give rise to a certain subspace of the center of T. Changing the logical direction, we show that if a matrix of a particular form belongs to the center of T, then uniform equations are satisfified.
Ključne besede: uniform equations, center of a Terwilliger algebra, bipartite graphs
Objavljeno v RUP: 08.05.2026; Ogledov: 69; Prenosov: 7
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18. Group distance magic cubic graphsSylwia Cichacz, Štefko Miklavič, 2026, izvirni znanstveni članek Opis: A $\Gamma$-distance magic labeling of a graph $G = (V, E)$ with $|V| = n$ is a bijection $\ell$ from $V$ to an Abelian group $\Gamma$ of order $n$, for which there exists $\mu \in \Gamma$, such that the weight $w(x) =\sum_{y\in N(x)}\ell(y)$ of every vertex $x \in V$ is equal to $\mu$. In this case, the element $\mu$ is called the magic constant of $G$. A graph $G$ is called a group distance magic if there exists a $\Gamma$-distance magic labeling of $G$ for every Abelian group $\Gamma$ of order $n$. In this paper, we focused on cubic $\Gamma$-distance magic graphs as well as some properties of such graphs.
Ključne besede: group distance magic labeling, Kotzig array, generalized Petersen graph
Objavljeno v RUP: 06.05.2026; Ogledov: 109; Prenosov: 5
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20. Vpliv otroške literature na ločitveno tesnobo pri otrocih : diplomska nalogaYlenia Poldrugovac, 2026, diplomsko delo Ključne besede: attaccamento, sviluppo socio-emotivo, scuola dell'infanzia, letteratura per l'infanzia, ansia da separazione, lettura condivisa, sviluppo emotivo, competenze sociali
Objavljeno v RUP: 06.05.2026; Ogledov: 119; Prenosov: 6
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