Capacitated Vertex Cover admits no k^{o(k)} n^{O(1)} algorithm under ETH, n^{O(tw)} is optimal even for tree-depth, and vertex integrity admits a vi^{O(vi^2)} n^{O(1)} algorithm via N-fold IP.
An algorithmic theory of integer programming
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The minimum recoloring problem to eliminate p-illusion is NP-hard on general directed graphs and bipartite DAGs but solvable in polynomial time on trees, cycles, and outerplanar networks.
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Parameterized Capacitated Vertex Cover Revisited
Capacitated Vertex Cover admits no k^{o(k)} n^{O(1)} algorithm under ETH, n^{O(tw)} is optimal even for tree-depth, and vertex integrity admits a vi^{O(vi^2)} n^{O(1)} algorithm via N-fold IP.
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Eliminating Illusion in Directed Networks
The minimum recoloring problem to eliminate p-illusion is NP-hard on general directed graphs and bipartite DAGs but solvable in polynomial time on trees, cycles, and outerplanar networks.