2 citations · 3 across the 5 of their papers we have counts for
3 papers · 1 filter
Hereditary 2-WQO Graph Classes Have Bounded Clique-Width
Julien Duron, Nikolas Mählmann, Szymon Toruńczyk
A graph class is -WQO if its -labeled graphs are well-quasi-ordered under label-preserving induced subgraph embeddings. We show that every hereditary graph class that is -…
Fatness and Flatness
Arnold Filtser, Hung Le, Nikolas Mählmann +2
Fat minors are the metric analog of graph minors that are tailored to the analysis of metric (edge-weighted) graphs and, more generally, metric spaces having a suitable notion of s…
Flip-Breakability: A Combinatorial Dichotomy for Monadically Dependent Graph Classes
Jan Dreier, Nikolas Mählmann, Szymon Toruńczyk
A conjecture in algorithmic model theory predicts that the model-checking problem for first-order logic is fixed-parameter tractable on a hereditary graph class if and only if the…