María Inés Lopez Pujato

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20182026

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math.CO2026

Total ${k}$ -domination in caterpillars: Structural properties and exact results

Mariana Escalante, Paola Tolomei, María Inés Lopez Pujato

The total ${k}$ -domination problem ( $T {k} D P$ ) seeks a minimum-weight function such that the sum of weights in every open neighborhood is at least $k$ . While this problem is kno…

math.CO2026

Released packing functions in graphs

Pablo Fekete, Erica Hinrichsen, Valeria Leoni +1

We introduce and start the study of a variant of packing functions in graphs. Given a graph $G$ with vertex set $V$ and nonnegative integer vectors $k = (k_{v})_{v \in V}$ , $\b…

Total {k}-domination in caterpillars: Structural properties and exact results

Released packing functions in graphs

Total ${k}$ -domination in caterpillars: Structural properties and exact results