Conditional lower bounds for sparse parameterized 2-CSP: A streamlined proof

K CS, D Marx, M Pilipczuk, U Souza - 2024 Symposium on Simplicity in …, 2024 - SIAM
Abstract Assuming the Exponential Time Hypothesis (ETH), a result of Marx (ToC'10) implies
that there is no time algorithm that can solve 2-CSPs with k constraints (over a domain of …

The complexity of matching games: a survey

M Benedek, P Biró, M Johnson, D Paulusma… - Journal of Artificial …, 2023 - jair.org
Matching games naturally generalize assignment games, a well-known class of cooperative
games. Interest in matching games has grown recently due to some breakthrough results …

Can You Link Up With Treewidth?

R Curticapean, S Döring, D Neuen, J Wang - arXiv preprint arXiv …, 2024 - arxiv.org
A central result of Marx [ToC'10] proves that there are $ k $-vertex graphs $ H $ of maximum
degree $3 $ such that $ n^{o (k/\log k)} $ time algorithms for detecting colorful $ H …

[HTML][HTML] Manipulating the outcome of stable marriage and roommates problems

K Bérczi, G Csáji, T Király - Games and Economic Behavior, 2024 - Elsevier
The stable marriage and stable roommates problems have been extensively studied due to
their applicability in various real-world scenarios. However, it might happen that no stable …

Conditional lower bounds for sparse parameterized 2-CSP: A streamlined proof

D Marx, M Pilipczuk, U Souza - arXiv preprint arXiv:2311.05913, 2023 - arxiv.org
Assuming the Exponential Time Hypothesis (ETH), a result of Marx (ToC'10) implies that
there is no $ f (k)\cdot n^{o (k/\log k)} $ time algorithm that can solve 2-CSPs with $ k …

Manipulating the outcome of stable matching and roommates problems

K Bérczi, G Csáji, T Király - arXiv preprint arXiv:2204.13485, 2022 - arxiv.org
The stable marriage and stable roommates problems have been extensively studied due to
their high applicability in various real-world scenarios. However, it might happen that no …