Author

Jasmina Ferme

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Preprint Oct 2026

Partitioning an $S$-packing coloring into broadcast dominating sets

Given a graph $G$ and a positive integer $k$, a packing $k$-domatic coloring of $G$ is a function $f: V(G) \to \{1,\ldots,t\}$ such that (1) for any color $j \in \{1,\ldots, t\}$ and any two distinct vertices $u,v\in V(G)$ with $f(u)=f(v)=j$ we have $d_G(u,v)>j$, and (2) $V(G)$ admits a partition into $k$ sets $A_1,\ld...

B. Brešar, Jasmina Ferme, Wen-Jie Hu · 0 citations

Preprint Sep 2026

On $S$-packing total colorings

In this paper, we generalize the concept of packing total coloring by introducing a new concept called the $S$-packing total coloring. For a graph $G$ and a non-decreasing sequence $S=(a_1,a_2,\ldots)$ of positive integers, an $S$-packing total coloring of $G$ is a mapping $c: V(G)\cup E(G)\rightarrow \{1,2,\ldots\}$ s...

Jasmina Ferme, Jaka Hedžet, Petra Melicharová et al. · 0 citations