L. Volkmann

collaborators

3 papers

math.CO2026

Signed Total Roman Domination and Domatic Numbers: Degree Three and Complete Multipartite Graphs

Arie M. C. A. Koster, Lutz Volkmann, Moritz Wehrmann

Signed total Roman domination is a variant of the classic Roman domination-problem in graphs. A signed total Roman dominating function (STRD function) on a graph $G = (V, E)$ is a fun…

math.CO2026

A Characterization of $P_{6}$ -Free Irredundance Perfect Graphs

Vadim Zverovich, Pavel Skums, Lutz Volkmann

Let $i r (G)$ and $I^^{3} (G)$ be the irredundance number and the domination number of a graph $G$ , respectively. A graph $G$ is called irredundance perfect if $i r (H) = I^^{3} (H)$ for every ind…

math.CO2025

On the total Italian domination number in digraphs

Changchang Dong, Yubao Guo, Mei Lu +1

Consider a finite simple digraph $D$ with vertex set $V (D)$ . An Italian dominating function (IDF) on $D$ is a function $f : V (D) \to {0, 1, 2}$ satisfying every vertex $u$ with…

Signed Total Roman Domination and Domatic Numbers: Degree Three and Complete Multipartite Graphs

A Characterization of P6​-Free Irredundance Perfect Graphs

On the total Italian domination number in digraphs

A Characterization of $P_{6}$ -Free Irredundance Perfect Graphs