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math.CO2025
On -Roman graphs: complexity of recognition and the case of split graphs
Kenny Bešter Štorgel, Nina Chiarelli, Lara Fernández +4
For a positive integer , a -Roman dominating function of a graph is a function satisfying $\sum_{u\in N(v)} f(u) \geq…
cs.DM2025
Sandwich Monotonicity and Recognition of Weighted Graph Classes
Jesse Beisegel, Nina Chiarelli, Ekkehard Köhler +5
Edge-weighted graphs play an important role in the theory of Robinsonian matrices and similarity theory, particularly via the concept of level graphs, that is, graphs obtained from…