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math.CO2025
Hitting all longest paths in -free graphs and -graphs
Paloma T. de Lima, Amir Nikabadi, Paweł Rzążewski
The \textit{longest path transversal number} of a connected graph , denoted by , is the minimum size of a set of vertices of that intersects all longest paths in …
math.CO2025
Maximum list -colorable induced subgraphs in -free graphs
Esther Galby, Paloma T. Lima, Andrea Munaro +1
We show that, for every fixed positive integers and , \textsc{Max-Weight List -Colorable Induced Subgraph} admits a polynomial-time algorithm on -free graphs. This…