{"id":"https://openalex.org/W4403795509","doi":"https://doi.org/10.48550/arxiv.2409.17250","title":"Kernelization Complexity of Solution Discovery Problems","display_name":"Kernelization Complexity of Solution Discovery Problems","publication_year":2024,"publication_date":"2024-09-25","ids":{"openalex":"https://openalex.org/W4403795509","doi":"https://doi.org/10.48550/arxiv.2409.17250"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2409.17250","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2409.17250","pdf_url":"https://arxiv.org/pdf/2409.17250","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2409.17250","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002401893","display_name":"Mario Grobler","orcid":"https://orcid.org/0000-0001-8103-6440"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Grobler, Mario","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047464461","display_name":"Stephanie Maaz","orcid":"https://orcid.org/0000-0001-7188-8834"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Maaz, Stephanie","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051065386","display_name":"Amer E. Mouawad","orcid":"https://orcid.org/0000-0003-2481-4968"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mouawad, Amer E.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112513881","display_name":"Naomi Nishimura","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nishimura, Naomi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065001447","display_name":"Vijayaragunathan Ramamoorthi","orcid":"https://orcid.org/0000-0001-8554-6392"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ramamoorthi, Vijayaragunathan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5073548944","display_name":"Sebastian Siebertz","orcid":"https://orcid.org/0000-0002-6347-1198"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Siebertz, Sebastian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13297","display_name":"History and advancements in chemistry","score":0.7839000225067139,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13297","display_name":"History and advancements in chemistry","score":0.7839000225067139,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10906","display_name":"AI-based Problem Solving and Planning","score":0.7487000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12292","display_name":"Graph Theory and Algorithms","score":0.6798999905586243,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kernelization","display_name":"Kernelization","score":0.9711185693740845},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.5353330373764038},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4337807297706604},{"id":"https://openalex.org/keywords/drug-discovery","display_name":"Drug discovery","score":0.425981342792511},{"id":"https://openalex.org/keywords/computational-biology","display_name":"Computational biology","score":0.3409940004348755},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.18062788248062134},{"id":"https://openalex.org/keywords/bioinformatics","display_name":"Bioinformatics","score":0.13023030757904053},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12181681394577026}],"concepts":[{"id":"https://openalex.org/C207225210","wikidata":"https://www.wikidata.org/wiki/Q1759539","display_name":"Kernelization","level":3,"score":0.9711185693740845},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5353330373764038},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4337807297706604},{"id":"https://openalex.org/C74187038","wikidata":"https://www.wikidata.org/wiki/Q1418791","display_name":"Drug discovery","level":2,"score":0.425981342792511},{"id":"https://openalex.org/C70721500","wikidata":"https://www.wikidata.org/wiki/Q177005","display_name":"Computational biology","level":1,"score":0.3409940004348755},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.18062788248062134},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.13023030757904053},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12181681394577026}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2409.17250","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2409.17250","pdf_url":"https://arxiv.org/pdf/2409.17250","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2409.17250","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2409.17250","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2409.17250","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2409.17250","pdf_url":"https://arxiv.org/pdf/2409.17250","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324729","display_name":"Universit\u00e4t Bremen","ror":"https://ror.org/04ers2y35"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403795509.pdf","grobid_xml":"https://content.openalex.org/works/W4403795509.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2381408042","https://openalex.org/W2425261484","https://openalex.org/W33845589","https://openalex.org/W189387296","https://openalex.org/W4388276051","https://openalex.org/W2161286454","https://openalex.org/W2964273883","https://openalex.org/W2355184605","https://openalex.org/W2122202324","https://openalex.org/W4382583004"],"abstract_inverted_index":{"In":[0,118],"the":[1,23,61,66,107,112,123,127,147],"solution":[2,48,67,87,104,128],"discovery":[3,68,88,105,129,153],"variant":[4,64],"of":[5,20,26,49,65,75,86,126,131,150],"a":[6,33,46,77],"vertex":[7,82],"(edge)":[8],"subset":[9],"problem":[10],"$\u03a0$":[11,50],"on":[12,22,51],"graphs,":[13],"we":[14,40,121],"are":[15],"given":[16],"an":[17,27,80],"initial":[18],"configuration":[19,44],"tokens":[21,151],"vertices":[24],"(edges)":[25],"input":[28],"graph":[29],"$G$":[30,52],"together":[31],"with":[32,53,144],"budget":[34,154],"$b$.":[35],"The":[36,84],"question":[37],"is":[38],"whether":[39],"can":[41],"transform":[42],"this":[43,119],"into":[45],"feasible":[47],"at":[54],"most":[55],"$b$":[56],"modification":[57,72],"steps.":[58],"We":[59],"consider":[60],"token":[62,78],"sliding":[63,76],"framework,":[69],"where":[70],"each":[71],"step":[73],"consists":[74],"to":[79,146],"adjacent":[81],"(edge).":[83],"framework":[85],"was":[89],"recently":[90],"introduced":[91],"by":[92],"Fellows":[93],"et":[94,97],"al.":[95],"[Fellows":[96],"al.,":[98],"ECAI":[99],"2023]":[100],"and":[101,141],"for":[102],"many":[103],"problems":[106],"classical":[108],"as":[109,111,156,158,162],"well":[110,157],"parameterized":[113],"complexity":[114,125],"has":[115],"been":[116],"established.":[117],"work,":[120],"study":[122],"kernelization":[124],"variants":[130],"Vertex":[132,142],"Cover,":[133],"Independent":[134],"Set,":[135,137],"Dominating":[136],"Shortest":[138],"Path,":[139],"Matching,":[140],"Cut":[143],"respect":[145],"parameters":[148,160],"number":[149],"$k$,":[152],"$b$,":[155],"structural":[159],"such":[161],"pathwidth.":[163]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}