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4 days ago · Richard M. Karp demonstrated that the Hamiltonian Cycle Problem was NP-complete, underscoring the TSP’s computational challenge by establishing its NP-hardness. This revelation provided a mathematical basis for the problem’s inherent difficulty in finding optimal tours.
Jun 22, 2024 · Over the past decade, there has been a revolution in the theoretical foundations for efficiently solving multiple foundational problems in theoreti...
Jun 28, 2024 · The same applies to the pioneering flow algorithms of the 1970s, for which the theoretical computer scientists John Edward Hopcroft, Richard Manning Karp and Robert Endre Tarjan each received a Turing Award, regarded as the “Nobel Prize” of computer science. Karp received his in 1985; Hopcroft and Tarjan won theirs in 1986.
Jun 8, 2024 · In the balanced allocations framework, there are \ (m\) jobs (balls) to be allocated to \ (n\) servers (bins). The goal is to minimize the gap, the difference between the maximum and the average load...
Jun 21, 2024 · Richard M. Karp. 1972. Reducibility among combinatorial problems. In Proceedings of the Symposium on the Complexity of Computer Computations, Held March 20–22, 1972, at the IBM Thomas J. Watson Research Center, Yorktown Heights, New York, USA (The IBM Research Symposia Series) .
4 days ago · We give a fully polynomial-time randomized approximation scheme (FPRAS) for two terminal reliability in directed acyclic graphs (DAGs). In contrast, we also show the complementing problem of approximating two terminal unreliability in DAGs is #BIS-hard.
Jun 10, 2024 · Causal structure learning is a key problem in many domains. Causal structures can be learnt by performing experiments on the system of interest. We address the largely unexplored problem of designing a batch of experiments that each simultaneously intervene on multiple variables.
