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Counting perfect matchings and Hamiltonian cycles faster

cs.DS · 2023-09-27 · unverdicted · novelty 7.0

An algorithm computes hafnians and directed Hamiltonian cycle counts in time 2^{n - Ω(√n)}, improving the 2019 exponent by removing the log-log factor in the square-root term.

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  • Counting perfect matchings and Hamiltonian cycles faster cs.DS · 2023-09-27 · unverdicted · none · ref 17

    An algorithm computes hafnians and directed Hamiltonian cycle counts in time 2^{n - Ω(√n)}, improving the 2019 exponent by removing the log-log factor in the square-root term.