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cs.DS2024
Robust Contraction Decomposition for Minor-Free Graphs and its Applications
Sayan Bandyapadhyay, William Lochet, Daniel Lokshtanov +6
We prove a robust contraction decomposition theorem for -minor-free graphs, which states that given an -minor-free graph and an integer , one can partition in polynomi…
cs.DS2024
Can You Link Up With Treewidth?
Radu Curticapean, Simon Döring, Daniel Neuen +1
In a fundamental paper in parameterized complexity theory, Marx [ToC '10] constructed -vertex graphs of maximum degree such that time algorithms for d…
cs.CC2024
Counting Small Induced Subgraphs: Hardness via Fourier Analysis
Radu Curticapean, Daniel Neuen
For a fixed graph property and integer , consider the problem of counting the induced -vertex subgraphs satisfying in an input graph . This problem can be s…