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20182026
most citedOn the Parameterized Complexity of -Edge Colouring

4 citations · 8 across the 12 of their papers we have counts for

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5 papers · 1 filter

cs.DS2026

Odd Cycle Transversal on -free graphs

Esther Galby, Paloma T. de Lima, Andrea Munaro +1

\textsc{Odd Cycle Transversal} is a classic -hard graph optimization problem asking for a minimum-weight set of vertices whose deletion makes the input graph bipartite…

cs.DS2024

Polynomial-time approximation schemes for induced subgraph problems on fractionally tree-independence-number-fragile graphs

Esther Galby, Andrea Munaro, Shizhou Yang

We investigate a relaxation of the notion of fractional treewidth-fragility, namely fractional tree-independence-number-fragility. In particular, we obtain polynomial-time approxim…

cs.DS2023

Polynomial-Time Approximation Schemes for Independent Packing Problems on Fractionally Tree-Independence-Number-Fragile Graphs

Esther Galby, Andrea Munaro, Shizhou Yang

We investigate a relaxation of the notion of treewidth-fragility, namely tree-independence-number-fragility. In particular, we obtain polynomial-time approximation schemes for inde…

cs.DS2020

Approximating Independent Set and Dominating Set on VPG graphs

Esther Galby, Andrea Munaro

We consider Independent Set and Dominating Set restricted to VPG graphs (or, equivalently, string graphs). We show that they both remain -hard on -VPG graphs admi…

cs.DS2018

Classifying k-Edge Colouring for H-free Graphs

Esther Galby, Paloma T. Lima, Daniel Paulusma +1

A graph is -free if it does not contain an induced subgraph isomorphic to . For every integer and every graph , we determine the computational complexity of -Edge C…