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cs.CC2026
Improved Quantum Algorithms for Subset Sum and -SUM
Nikolai Chukhin, Alexander S. Kulikov, Maksim Levitskii +1
The Subset Sum problem asks whether, given integers and a target, some subset of the integers sums to the target. Its best known worst-case running time is (Horo…
cs.CC2026
If Edge Coloring is Hard under SETH, then SETH is False
Alexander S. Kulikov, Ivan Mihajlin
The Edge Coloring problem is notoriously hard: it is still unknown whether it can be solved in time (let alone ), where is the number of nodes of the inp…
cs.CC2026
Complexity of the Graph Homomorphism Problem w.r.t. Degeneracy
Grigorii Braulov, Nikolai Chukhin, Alexander S. Kulikov +1
The graph homomorphism problem HOM is: given an -vertex source graph and an -vertex target graph , is there a mapping from to that preserves edges? A str…