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importantSYS.SOURCE: arXiv• 2026-09-15T07:45:31Z

Proof of the k-server Conjecture via Work Function Algorithm

#online algorithms#k-server conjecture#matrix operations

The k-server conjecture, which posits a deterministic online algorithm can achieve a competitive ratio of k on any metric space, has been proven using the work function algorithm. The proof employs an algebraic matrix representation of the work function, leveraging matrix operations and a potential function for amortized analysis.

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