{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/the-minimal-hitting-set-generation-problem","title":"The minimal hitting set generation problem: algorithms and computation","arxiv_id":"1601.02939","date":"2016-01-05","proceeding":null,"authors":["Andrew Gainer-Dewar","Paola Vera-Licona"],"abstract":"Finding inclusion-minimal \"hitting sets\" for a given collection of sets is a\nfundamental combinatorial problem with applications in domains as diverse as\nBoolean algebra, computational biology, and data mining. Much of the\nalgorithmic literature focuses on the problem of *recognizing* the collection\nof minimal hitting sets; however, in many of the applications, it is more\nimportant to *generate* these hitting sets. We survey twenty algorithms from\nacross a variety of domains, considering their history, classification, useful\nfeatures, and computational performance on a variety of synthetic and\nreal-world inputs. We also provide a suite of implementations of these\nalgorithms with a ready-to-use, platform-agnostic interface based on Docker\ncontainers and the AlgoRun framework, so that interested computational\nscientists can easily perform similar tests with inputs from their own research\nareas on their own computers or through a convenient Web interface.","url_abs":"http://arxiv.org/abs/1601.02939v1","url_pdf":"http://arxiv.org/pdf/1601.02939v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"the-minimal-hitting-set-generation-problem","repo_url":"https://github.com/VeraLiconaResearchGroup/MHSGenerationAlgorithms","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[{"task_slug":"classification","task_name":"General Classification"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}