{"id":"https://openalex.org/W4230171941","doi":"https://doi.org/10.1109/aspdac.2018.8297354","title":"On coloring rectangular and diagonal grid graphs for multiple patterning lithography","display_name":"On coloring rectangular and diagonal grid graphs for multiple patterning lithography","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W4230171941","doi":"https://doi.org/10.1109/aspdac.2018.8297354"},"language":"en","primary_location":{"id":"doi:10.1109/aspdac.2018.8297354","is_oa":false,"landing_page_url":"https://doi.org/10.1109/aspdac.2018.8297354","pdf_url":null,"source":{"id":"https://openalex.org/S4363608266","display_name":"2018 23rd Asia and South Pacific Design Automation Conference (ASP-DAC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 23rd Asia and South Pacific Design Automation Conference (ASP-DAC)","raw_type":"proceedings-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/A5054282385","display_name":"Daifeng Guo","orcid":"https://orcid.org/0000-0003-4935-6609"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daifeng Guo","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois at Urbana Champaign"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana Champaign","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100461105","display_name":"Hongbo Zhang","orcid":"https://orcid.org/0000-0003-1926-9571"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hongbo Zhang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois at Urbana Champaign"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana Champaign","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053378706","display_name":"Martin D. F. Wong","orcid":"https://orcid.org/0000-0001-8274-9688"},"institutions":[{"id":"https://openalex.org/I2252078561","display_name":"Meta (Israel)","ror":"https://ror.org/02388em19","country_code":"IL","type":"company","lineage":["https://openalex.org/I2252078561","https://openalex.org/I4210114444"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Martin D.F. Wong","raw_affiliation_strings":["Facebook"],"affiliations":[{"raw_affiliation_string":"Facebook","institution_ids":["https://openalex.org/I2252078561"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054282385"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":10.1143,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.97733711,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"387","last_page":"392"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9987999796867371,"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":0.9987999796867371,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9958999752998352,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9947999715805054,"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/diagonal","display_name":"Diagonal","score":0.8644007444381714},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.7887526750564575},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.5944986343383789},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5550650358200073},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.5233877301216125},{"id":"https://openalex.org/keywords/lattice-graph","display_name":"Lattice graph","score":0.4799092710018158},{"id":"https://openalex.org/keywords/lithography","display_name":"Lithography","score":0.4705424904823303},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.419265478849411},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37497711181640625},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3371472954750061},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3227998614311218},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3201712369918823},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18586432933807373},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10819852352142334},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.09688368439674377}],"concepts":[{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.8644007444381714},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.7887526750564575},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.5944986343383789},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5550650358200073},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.5233877301216125},{"id":"https://openalex.org/C145580432","wikidata":"https://www.wikidata.org/wiki/Q6497118","display_name":"Lattice graph","level":5,"score":0.4799092710018158},{"id":"https://openalex.org/C204223013","wikidata":"https://www.wikidata.org/wiki/Q133036","display_name":"Lithography","level":2,"score":0.4705424904823303},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.419265478849411},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37497711181640625},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3371472954750061},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3227998614311218},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3201712369918823},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18586432933807373},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10819852352142334},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.09688368439674377},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/aspdac.2018.8297354","is_oa":false,"landing_page_url":"https://doi.org/10.1109/aspdac.2018.8297354","pdf_url":null,"source":{"id":"https://openalex.org/S4363608266","display_name":"2018 23rd Asia and South Pacific Design Automation Conference (ASP-DAC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 23rd Asia and South Pacific Design Automation Conference (ASP-DAC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332222","display_name":"University of Illinois at Urbana-Champaign","ror":"https://ror.org/047426m28"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1971739315","https://openalex.org/W1995865561","https://openalex.org/W1997420670","https://openalex.org/W2025304056","https://openalex.org/W2032622168","https://openalex.org/W2088697577","https://openalex.org/W2089191641","https://openalex.org/W2093576521","https://openalex.org/W2099777323","https://openalex.org/W2143286762","https://openalex.org/W2281692433","https://openalex.org/W2292988356","https://openalex.org/W2293915858","https://openalex.org/W2318291156","https://openalex.org/W4240075604","https://openalex.org/W4248126276"],"related_works":["https://openalex.org/W2380525562","https://openalex.org/W4291316360","https://openalex.org/W2163432100","https://openalex.org/W3169197204","https://openalex.org/W1542397451","https://openalex.org/W4229747356","https://openalex.org/W4311345810","https://openalex.org/W3187209459","https://openalex.org/W4296859768","https://openalex.org/W3083598767"],"abstract_inverted_index":{"Rectangular":[0],"and":[1,52,68,72,100,103],"diagonal":[2,12,69,80],"grid":[3,13,46,70,81],"graphs":[4,47],"are":[5,94,106],"induced":[6],"subgraphs":[7],"of":[8,62,76],"a":[9,59,79],"rectangular":[10,67],"or":[11],"respectively.":[14],"Their":[15],"k-coloring":[16,64],"problem":[17,31],"has":[18],"direct":[19],"applications":[20],"in":[21,32],"printing":[22],"contact/via":[23],"layouts":[24],"by":[25],"multi-patterning":[26],"lithography":[27],"(MPL).":[28],"However,":[29],"the":[30,63,74],"general":[33],"is":[34,83],"computationally":[35],"difficult":[36],"for":[37],"k>2,":[38],"while":[39],"it":[40],"remains":[41],"an":[42,89],"open":[43],"question":[44],"on":[45,66,78],"due":[48],"to":[49,96],"their":[50],"regularity":[51],"sparsity.":[53],"In":[54,85],"this":[55],"paper,":[56],"we":[57,87],"conduct":[58],"complete":[60],"analysis":[61],"problems":[65],"graphs,":[71],"particularly":[73],"NP-completeness":[75],"3-coloring":[77,91],"graph":[82],"proved.":[84],"practice,":[86],"propose":[88],"exact":[90],"algorithm.":[92],"Experiments":[93],"conducted":[95],"verify":[97],"its":[98],"effectiveness":[99],"performance.":[101],"Extensions":[102],"other":[104],"results":[105],"also":[107],"discussed.":[108]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}