{"id":"https://openalex.org/W7128691774","doi":"https://doi.org/10.48550/arxiv.2602.10781","title":"Data Reductions for the Strong Maximum Independent Set Problem in Hypergraphs","display_name":"Data Reductions for the Strong Maximum Independent Set Problem in Hypergraphs","publication_year":2026,"publication_date":"2026-02-11","ids":{"openalex":"https://openalex.org/W7128691774","doi":"https://doi.org/10.48550/arxiv.2602.10781"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.10781","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5125758133","display_name":"Ernestine Gro\u00dfmann","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Gro\u00dfmann, Ernestine","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029434875","display_name":"Christof Schulz","orcid":"https://orcid.org/0000-0002-6879-4826"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Schulz, Christian","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125775821","display_name":"Darren Strash","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Strash, Darren","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5125770774","display_name":"Antonie Wagner","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wagner, Antonie","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5125758133"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.2190999984741211,"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"}},"topics":[{"id":"https://openalex.org/T12292","display_name":"Graph Theory and Algorithms","score":0.2190999984741211,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.1665000021457672,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12535","display_name":"Machine Learning and Data Classification","score":0.1251000016927719,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.73580002784729},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.7085999846458435},{"id":"https://openalex.org/keywords/preprocessor","display_name":"Preprocessor","score":0.6628999710083008},{"id":"https://openalex.org/keywords/independent-set","display_name":"Independent set","score":0.5759999752044678},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.506600022315979},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4650999903678894},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.4555000066757202}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.73580002784729},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.7085999846458435},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.6628999710083008},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.5759999752044678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5098000168800354},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.506600022315979},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4650999903678894},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.4555000066757202},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.44020000100135803},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4399000108242035},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4375999867916107},{"id":"https://openalex.org/C87431388","wikidata":"https://www.wikidata.org/wiki/Q2070573","display_name":"Perfect hash function","level":4,"score":0.4156999886035919},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.41179999709129333},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3828999996185303},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.382099986076355},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.32420000433921814},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3156999945640564},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2924000024795532},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.26910001039505005},{"id":"https://openalex.org/C153914771","wikidata":"https://www.wikidata.org/wiki/Q5227343","display_name":"Data reduction","level":2,"score":0.26089999079704285}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.10781","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2602.10781","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.10781","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2602.10781","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"work":[1],"addresses":[2],"the":[3,10,59,99,102,105,109,159,173],"well-known":[4],"Maximum":[5],"Independent":[6],"Set":[7],"problem":[8,16,65],"in":[9,43,58,126,131,150],"context":[11],"of":[12,37,41,104,111,146,168,183],"hypergraphs.":[13],"While":[14],"this":[15,64,83,118],"has":[17],"been":[18],"extensively":[19],"studied":[20],"on":[21,25,101,142],"graphs,":[22],"we":[23,163,179],"focus":[24],"its":[26],"strong":[27],"extension":[28],"to":[29,67,144,185],"hypergraphs,":[30],"where":[31],"edges":[32],"may":[33],"connect":[34],"any":[35,95],"number":[36],"vertices.":[38],"A":[39],"set":[40],"vertices":[42],"a":[44,91,123,194],"hypergraph":[45],"is":[46,51,66],"strongly":[47],"independent":[48],"if":[49],"there":[50],"at":[52],"most":[53],"one":[54,188],"vertex":[55],"per":[56],"edge":[57],"set.":[60],"One":[61],"application":[62],"for":[63,82,94,134],"find":[68],"perfect":[69],"minimal":[70],"hash":[71],"functions.":[72],"We":[73,97],"propose":[74],"nine":[75],"new":[76],"data":[77],"reduction":[78,86,125,156,174],"rules":[79],"specifically":[80],"designed":[81],"problem.":[84],"Our":[85,120],"routine":[87,139],"can":[88,180],"serve":[89],"as":[90],"preprocessing":[92,138,157],"step":[93],"solver.":[96],"analyze":[98],"impact":[100],"size":[103,128,149],"reduced":[106],"instances":[107],"and":[108,129],"performance":[110],"several":[112],"subsequent":[113,135],"solvers":[114],"when":[115,196],"combined":[116,197],"with":[117,158,198],"preprocessing.":[119,200],"results":[121],"demonstrate":[122],"significant":[124],"instance":[127,190],"improvements":[130],"running":[132],"time":[133],"solvers.":[136],"The":[137],"reduces":[140],"instances,":[141],"average,":[143],"22%":[145],"their":[147],"original":[148],"6.76":[151],"seconds.":[152],"When":[153],"combining":[154],"our":[155,199],"best-performing":[160],"exact":[161],"solver,":[162],"observe":[164],"an":[165],"average":[166],"speedup":[167],"3.84x":[169],"over":[170],"not":[171],"using":[172],"rules.":[175],"In":[176],"some":[177],"cases,":[178],"achieve":[181],"speedups":[182],"up":[184],"53x.":[186],"Additionally,":[187],"more":[189],"becomes":[191],"solvable":[192],"by":[193],"method":[195]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2026-02-13T00:00:00"}
