Proponent 发表于 2025-3-28 18:37:14
https://doi.org/10.1007/978-1-349-22199-8d in polynomial time. The previously best approximation ratio for the first class of graphs (also known as unweighted quasi-bipartite graphs) is ≈ 1.217 (Gröpl et al. ) is reduced in this paper to 8/7–1/160≈ 1.137. For the case of graphs where terminals form a dominating set, an approximation ratio of 4/3 is achieved.Mast-Cell 发表于 2025-3-28 19:41:28
China’s Grain Economy and Trade Policyrelativisation of .. iterated . times provides a natural separation between Res(.) and Res(.+1). We prove the same result for the iterated relativisation of .. if the tree-like proof system Res*(.) is considered instead of Res (.).尖 发表于 2025-3-29 02:28:08
http://reply.papertrans.cn/24/2339/233826/233826_43.pngObligatory 发表于 2025-3-29 06:15:03
http://reply.papertrans.cn/24/2339/233826/233826_44.pngarcane 发表于 2025-3-29 10:59:00
Relativisation Provides Natural Separations for Resolution-Based Proof Systemsrelativisation of .. iterated . times provides a natural separation between Res(.) and Res(.+1). We prove the same result for the iterated relativisation of .. if the tree-like proof system Res*(.) is considered instead of Res (.).Plaque 发表于 2025-3-29 11:46:37
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https://doi.org/10.1007/978-1-349-22199-8for all . ≥ 2. Further, this is equivalent to the existence of a propositional proof system in which the disjointness of all .-tuples is shortly provable. We also show that a strengthening of this conditions characterizes the existence of optimal proof systems.使成波状 发表于 2025-3-29 21:57:04
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http://reply.papertrans.cn/24/2339/233826/233826_49.png爱得痛了 发表于 2025-3-30 05:53:08
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