{"id":"https://openalex.org/W2162697283","doi":"https://doi.org/10.1093/comjnl/bxu017","title":"Heuristics for the Maximum 2-Layer RAC Subgraph Problem","display_name":"Heuristics for the Maximum 2-Layer RAC Subgraph Problem","publication_year":2014,"publication_date":"2014-03-12","ids":{"openalex":"https://openalex.org/W2162697283","doi":"https://doi.org/10.1093/comjnl/bxu017","mag":"2162697283"},"language":"en","primary_location":{"id":"doi:10.1093/comjnl/bxu017","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxu017","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029525801","display_name":"Emilio Di Giacomo","orcid":"https://orcid.org/0000-0002-9794-1928"},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"E. Di Giacomo","raw_affiliation_strings":["Department of Engineering, University of Perugia, Via G. Duranti 93, 06125 Perugia, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Perugia, Via G. Duranti 93, 06125 Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018323496","display_name":"Walter Didimo","orcid":"https://orcid.org/0000-0002-4379-6059"},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"W. Didimo","raw_affiliation_strings":["Department of Engineering, University of Perugia, Via G. Duranti 93, 06125 Perugia, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Perugia, Via G. Duranti 93, 06125 Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018698645","display_name":"Luca Grilli","orcid":"https://orcid.org/0000-0002-2463-3772"},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"L. Grilli","raw_affiliation_strings":["Department of Engineering, University of Perugia, Via G. Duranti 93, 06125 Perugia, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Perugia, Via G. Duranti 93, 06125 Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008995859","display_name":"Giuseppe Liotta","orcid":"https://orcid.org/0000-0002-2886-9694"},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Liotta","raw_affiliation_strings":["Department of Engineering, University of Perugia, Via G. Duranti 93, 06125 Perugia, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Perugia, Via G. Duranti 93, 06125 Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030347468","display_name":"Salvatore Romeo","orcid":null},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. A. Romeo","raw_affiliation_strings":["Department of Engineering, University of Perugia, Via G. Duranti 93, 06125 Perugia, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Perugia, Via G. Duranti 93, 06125 Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5018698645"],"corresponding_institution_ids":["https://openalex.org/I27483092"],"apc_list":{"value":2635,"currency":"GBP","value_usd":3232},"apc_paid":null,"fwci":4.4292,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.94507018,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"58","issue":"5","first_page":"1085","last_page":"1098"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9900000095367432,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9765999913215637,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7273716330528259},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7131456732749939},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6837113499641418},{"id":"https://openalex.org/keywords/layer","display_name":"Layer (electronics)","score":0.5813850164413452},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5448027849197388},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.4801901578903198},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47788989543914795},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4336298704147339},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.4140911102294922},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3319992125034332},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3314763903617859},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32182079553604126}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7273716330528259},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7131456732749939},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6837113499641418},{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.5813850164413452},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5448027849197388},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.4801901578903198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47788989543914795},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4336298704147339},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.4140911102294922},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3319992125034332},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3314763903617859},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32182079553604126},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/comjnl/bxu017","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxu017","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2391237956","https://openalex.org/W2489339695","https://openalex.org/W2949735222","https://openalex.org/W4300919538","https://openalex.org/W4299570239","https://openalex.org/W1979242696","https://openalex.org/W2167462019","https://openalex.org/W1581957840","https://openalex.org/W2951550838","https://openalex.org/W4320022211"],"abstract_inverted_index":{"A":[0],"2-layer":[1,41,55,76,98,217],"drawing":[2,10,100],"of":[3,15,23,90,108,113,147,150,152,160,261,277,289],"a":[4,9,24,29,82,87,97,265],"bipartite":[5,83],"graph":[6,84],"G":[7,91,114],"is":[8,130,156,170,264],"such":[11,92],"that":[12,115,238,281],"the":[13,32,68,74,105,111,124,133,141,145,148,153,161,176,239,246,257,269,275,287,290],"vertices":[14,149],"each":[16,137],"partition":[17],"set":[18],"are":[19,34,53],"drawn":[20,35],"as":[21,36,158],"points":[22],"distinct":[25],"horizontal":[26],"line":[27],"(called":[28],"layer)":[30],"and":[31,101,139,163,186,213,249,285],"edges":[33,44,109],"straight-line":[37],"segments.":[38],"We":[39,65,118,236],"study":[40,119,280],"drawings":[42,52,59,62],"where":[43,127,144],"can":[45],"cross":[46],"only":[47],"at":[48],"right":[49,56,218],"angles;":[50],"these":[51,262],"called":[54],"angle":[57,219],"crossing":[58,220],"(2-layer":[60],"RAC":[61,77,99],"for":[63,268],"short).":[64],"focus":[66],"on":[67,132,136],"following":[69],"problem,":[70],"which":[71],"we":[72,273],"call":[73],"maximum":[75,106],"subgraph":[78,88],"(M2LRacS)":[79],"problem.":[80],"Given":[81],"G,":[85],"compute":[86],"H":[89,95,103],"that:":[93],"(i)":[94],"admits":[96],"(ii)":[102],"has":[104,228],"number":[107],"among":[110],"subgraphs":[112],"satisfy":[116],"(i).":[117],"this":[120],"problem":[121,169,241],"both":[122],"in":[123,140,175,200,245,256,293],"no-fixed-layer":[125,177,270],"setting,":[126,143,248],"no":[128,226],"restriction":[129],"given":[131,157],"vertex":[134],"ordering":[135,146],"layer,":[138],"1-fixed-layer":[142,247],"one":[151,260],"two":[154,258],"layers":[155],"part":[159],"input":[162],"cannot":[164],"be":[165,173],"changed.":[166],"The":[167],"M2LRacS":[168,240],"known":[171],"to":[172,233,253],"\ud835\udca9\ud835\udcab-hard":[174,243],"setting":[178],"(Di":[179],"Giacomo,":[180,207],"E.,":[181,208],"Didimo,":[182,209],"W.,":[183,210],"Eades,":[184,211],"P.":[185,212],"Liotta,":[187,214],"G.":[188,215],"(2011)":[189],"2-Layer":[190],"Right":[191],"Angle":[192],"Crossing":[193],"Drawings.":[194],"Proc.":[195],"IWOCA":[196],"2011,":[197],"Lecturer":[198],"Notes":[199],"Computer":[201],"Science":[202],"7056,":[203],"pp.":[204],"156\u2013169;":[205],"Di":[206],"(2014)":[216],"drawings.":[221],"Algorithmica,":[222],"68,":[223],"954\u2013997),":[224],"but":[225],"algorithm":[227,267,292],"been":[229],"proposed":[230],"so":[231],"far":[232],"solve":[234,254],"it.":[235],"prove":[237],"remains":[242],"even":[244],"provide":[250],"different":[251],"heuristics":[252,263,284],"it":[255],"settings;":[259],"3-approximation":[266,291],"setting.":[271],"Also,":[272],"present":[274],"results":[276],"an":[278],"experimental":[279],"compares":[282],"our":[283],"shows":[286],"effectiveness":[288],"practice.":[294]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}