{"id":"https://openalex.org/W4413682919","doi":"https://doi.org/10.1145/3763238","title":"Parameterized Approximation Schemes for Biclique-Free Max <i>k</i> -Weight SAT and Max Coverage","display_name":"Parameterized Approximation Schemes for Biclique-Free Max <i>k</i> -Weight SAT and Max Coverage","publication_year":2025,"publication_date":"2025-08-26","ids":{"openalex":"https://openalex.org/W4413682919","doi":"https://doi.org/10.1145/3763238"},"language":"en","primary_location":{"id":"doi:10.1145/3763238","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3763238","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3763238","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3763238","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063648884","display_name":"Pallavi Jain","orcid":"https://orcid.org/0000-0001-8900-9797"},"institutions":[{"id":"https://openalex.org/I154549908","display_name":"Indian Institute of Technology Jodhpur","ror":"https://ror.org/03yacj906","country_code":"IN","type":"education","lineage":["https://openalex.org/I154549908"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Pallavi Jain","raw_affiliation_strings":["Indian Institute of Technology Jodhpur, Jodhpur, India","Indian Institute of Technology Jodhpur, India"],"raw_orcid":"https://orcid.org/0000-0001-8900-9797","affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Jodhpur, Jodhpur, India","institution_ids":["https://openalex.org/I154549908"]},{"raw_affiliation_string":"Indian Institute of Technology Jodhpur, India","institution_ids":["https://openalex.org/I154549908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024292541","display_name":"Lawqueen Kanesh","orcid":"https://orcid.org/0000-0001-9274-4119"},"institutions":[{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Lawqueen Kanesh","raw_affiliation_strings":["Indian Institute of Technology Indore, Indore, India","Indian Institute of Technology Indore, India"],"raw_orcid":"https://orcid.org/0000-0001-9274-4119","affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Indore, Indore, India","institution_ids":["https://openalex.org/I64295750"]},{"raw_affiliation_string":"Indian Institute of Technology Indore, India","institution_ids":["https://openalex.org/I64295750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060986039","display_name":"Fahad Panolan","orcid":"https://orcid.org/0000-0001-6213-8687"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Fahad Panolan","raw_affiliation_strings":["School of Computer Science, University of Leeds, Leeds, UK","School of Computer Science, University of Leeds, UK"],"raw_orcid":"https://orcid.org/0000-0001-6213-8687","affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Leeds, Leeds, UK","institution_ids":["https://openalex.org/I130828816"]},{"raw_affiliation_string":"School of Computer Science, University of Leeds, UK","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101513139","display_name":"Souvik Saha","orcid":"https://orcid.org/0000-0001-8322-0639"},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Souvik Saha","raw_affiliation_strings":["The Institute of Mathematical Sciences, HBNI, Chennai, India","The Institute of Mathematical Sciences, HBNI, India"],"raw_orcid":"https://orcid.org/0000-0001-8322-0639","affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences, HBNI, Chennai, India","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences, HBNI, India","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102688261","display_name":"Abhishek Sahu","orcid":"https://orcid.org/0000-0002-2985-6983"},"institutions":[{"id":"https://openalex.org/I163389970","display_name":"National Institute of Science Education and Research","ror":"https://ror.org/02r2k1c68","country_code":"IN","type":"education","lineage":["https://openalex.org/I163389970","https://openalex.org/I200207707"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Abhishek Sahu","raw_affiliation_strings":["National Institute of Science Education and Research, HBNI, Bhubaneswar, India","National Institute of Science Education and Research, HBNI, India"],"raw_orcid":"https://orcid.org/0000-0002-2985-6983","affiliations":[{"raw_affiliation_string":"National Institute of Science Education and Research, HBNI, Bhubaneswar, India","institution_ids":["https://openalex.org/I163389970"]},{"raw_affiliation_string":"National Institute of Science Education and Research, HBNI, India","institution_ids":["https://openalex.org/I163389970"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015806060","display_name":"Saket Saurabh","orcid":"https://orcid.org/0000-0001-7847-6402"},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Saket Saurabh","raw_affiliation_strings":["The Institute of Mathematical Sciences, Chennai, India and University of Bergen, Bergen, Norway","The Institute of Mathematical Sciences, Chennai, India &amp; University of Bergen, Norway"],"raw_orcid":"https://orcid.org/0000-0001-7847-6402","affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences, Chennai, India and University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences, Chennai, India &amp; University of Bergen, Norway","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078823571","display_name":"Anannya Upasana","orcid":null},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Anannya Upasana","raw_affiliation_strings":["The Institute of Mathematical Sciences, HBNI, Chennai, India","The Institute of Mathematical Sciences, HBNI, India"],"raw_orcid":"https://orcid.org/0009-0002-6283-0846","affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences, HBNI, Chennai, India","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences, HBNI, India","institution_ids":["https://openalex.org/I59611059"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2204068,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"1","first_page":"1","last_page":"30"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9993000030517578,"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/T12288","display_name":"Optimization and Search Problems","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/parameterized-complexity","display_name":"Parameterized complexity","score":0.8929481506347656},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5780611634254456},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5611426830291748},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5160138607025146},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41205552220344543},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36298707127571106}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8929481506347656},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5780611634254456},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5611426830291748},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5160138607025146},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41205552220344543},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36298707127571106}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3763238","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3763238","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3763238","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3763238","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3763238","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3763238","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4413682919.pdf","grobid_xml":"https://content.openalex.org/works/W4413682919.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W812359745","https://openalex.org/W1444168583","https://openalex.org/W1485007464","https://openalex.org/W1531689410","https://openalex.org/W1980809300","https://openalex.org/W2015706819","https://openalex.org/W2021156120","https://openalex.org/W2047916710","https://openalex.org/W2070814595","https://openalex.org/W2073689249","https://openalex.org/W2076551320","https://openalex.org/W2099734427","https://openalex.org/W2126448893","https://openalex.org/W2129939288","https://openalex.org/W2143996311","https://openalex.org/W2156896570","https://openalex.org/W2181129831","https://openalex.org/W2772354143","https://openalex.org/W2898444818","https://openalex.org/W2911549278","https://openalex.org/W2914414140","https://openalex.org/W2949580236","https://openalex.org/W2963378411","https://openalex.org/W2966797629","https://openalex.org/W2968783941","https://openalex.org/W2977701101","https://openalex.org/W3001868306","https://openalex.org/W3036402366","https://openalex.org/W4242357733","https://openalex.org/W6948011254"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2051058708","https://openalex.org/W1494268238","https://openalex.org/W154868527","https://openalex.org/W1983207144","https://openalex.org/W1034070228","https://openalex.org/W2998616538","https://openalex.org/W2964749573","https://openalex.org/W4288277589","https://openalex.org/W2401679980"],"abstract_inverted_index":{"Max-SAT":[0],"with":[1,24,64,102,142,159,254,279,293,320,387],"cardinality":[2],"constraint":[3,296],"(":[4],"CC-Max-Sat":[5,140,249],")":[6,141,367],"is":[7,58,91,95,107,179,194,327,343,368],"one":[8],"of":[9,86,139,204,226,358,361,363],"the":[10,56,84,172,177,191,221,227,298,309,314,325,341,359],"classical":[11],"NP-complete":[12],"problems,":[13],"that":[14,83,162,169,237,354],"generalizes":[15],"Maximum":[16,134,269,299,310],"Coverage":[17,135,270,300,311],",":[18,22,46,54,105,127,157,243,332,339,352,390],"Partial":[19],"Vertex":[20],"Cover":[21],"Max-2-SAT":[23],"bisection":[25],"constraints,":[26],"and":[27,47,55,121,147,258,340],"has":[28],"been":[29],"extensively":[30],"studied":[31],"across":[32],"all":[33],"algorithmic":[34],"paradigms.":[35],"In":[36,175,400],"this":[37],"problem,":[38],"we":[39,207,214,276,306],"are":[40,265],"given":[41],"a":[42,48,76,154,160,328,333,346],"CNF":[43],"formula":[44,193,228],"\\(\\Phi\\)":[45],"positive":[49,334],"integer":[50,335],"\\(":[51,67,77,124,143,148,165,289,336,364,371],"k":[52,68,78,166,290],"\\)":[53,69,79,126,145,150,167,291,338,366,373],"goal":[57],"to":[59,72,97,152,181,201,344],"find":[60,345],"an":[61,99,232,246,377],"assignment":[62],"\\(\\beta\\)":[63,90],"at":[65,369],"most":[66],"variables":[70],"set":[71,274,360],"true":[73],"(also":[74],"called":[75,266],"-weight":[80],"assignment)":[81],"such":[82,353],"number":[85],"clauses":[87],"satisfied":[88],"by":[89],"maximized.":[92],"The":[93],"problem":[94,178,312],"known":[96],"admit":[98],"approximation":[100,255,379],"algorithm":[101,131,247,380],"factor":[103,155],"\\(1-\\frac{1}{e}\\)":[104],"which":[106],"probably":[108],"optimal.":[109],"Furthermore,":[110],"assuming":[111,185],"Gap-Exponential":[112],"Time":[113],"Hypothesis":[114],"(Gap-ETH),":[115],"for":[116,238,248,297,381],"any":[117,122],"\\(\\epsilon":[118,240],"&gt;":[119,241],"0\\)":[120,242],"function":[123],"h":[125],"no":[128],"\\(h(k)(n+m)^{o(k)}\\)":[129],"time":[130,261,281],"can":[132,208],"approximate":[133,182],"(a":[136],"monotone":[137],"version":[138],"n":[144],"elements":[146],"m":[149],"sets":[151,168],"within":[153,183],"\\((1-\\frac{1}{e}+\\epsilon)\\)":[156],"even":[158,189],"promise":[161],"there":[163,244],"exist":[164],"fully":[170],"cover":[171],"whole":[173],"universe.":[174],"fact,":[176],"hard":[180],"0.929,":[184],"Unique":[186],"Games":[187],"Conjecture,":[188],"when":[190],"input":[192,326],"2-CNF.":[195],"These":[196],"intractable":[197],"results":[198],"lead":[199],"us":[200],"explore":[202],"families":[203],"formula,":[205],"where":[206],"circumvent":[209],"these":[210],"barriers.":[211],"Toward":[212],"this,":[213],"consider":[215],"\\(K_{d,d}\\)":[216,230,251,272,392],"-free":[217,252,273,393],"formulas":[218,253],"(that":[219],"is,":[220],"clause-variable":[222],"incidence":[223],"bipartite":[224,329,394],"graph":[225,330],"excludes":[229],"as":[231,313],"induced":[233],"subgraph).":[234],"We":[235,375],"show":[236],"every":[239],"exists":[245],"on":[250,271,391],"ratio":[256],"\\((1-\\epsilon)\\)":[257],"running":[259,280,396],"in":[260,397],"\\(2^{{\\mathcal{O}}((\\frac{dk}{\\epsilon})^{d})}(n+m)^{{\\mathcal{O}}(1)}\\)":[262],"(these":[263],"algorithms":[264],"FPT-AS).":[267],"For":[268],"families,":[275],"obtain":[277],"FPT-AS":[278],"\\((\\frac{dk}{\\epsilon})^{{\\mathcal{O}}(dk)}n^{{\\mathcal{O}}(1)}\\)":[282],".":[283,374],"Our":[284],"second":[285],"result":[286],"considers":[287],"\u201coptimizing":[288],",\u201d":[292],"fixed":[294],"covering":[295],"problem.":[301,323],"To":[302],"explain":[303],"our":[304],"result,":[305],"first":[307],"recast":[308],"Max":[315,382],"Red":[316,383],"Blue":[317,384],"Dominating":[318,385],"Set":[319,386],"Covering":[321,388],"Constraint":[322,389],"Here,":[324],"\\(G=(A,B,E)\\)":[331],"t":[337,372],"objective":[342],"minimum":[347],"sized":[348],"subset":[349],"\\(S\\subseteq":[350],"A\\)":[351],"\\(|N(S)|\\)":[355],"(the":[356],"size":[357],"neighbors":[362],"S":[365],"least":[370],"design":[376],"additive":[378],"graphs,":[395],"FPT":[398],"time.":[399],"particular,":[401],"if":[402],"<jats:inline-fo":[403]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-08-27T00:00:00"}
