{"id":"https://openalex.org/W3028657687","doi":"https://doi.org/10.29007/btmj","title":"Coloring Unit-Distance Strips using SAT","display_name":"Coloring Unit-Distance Strips using SAT","publication_year":2020,"publication_date":"2020-05-27","ids":{"openalex":"https://openalex.org/W3028657687","doi":"https://doi.org/10.29007/btmj","mag":"3028657687"},"language":"en","primary_location":{"id":"doi:10.29007/btmj","is_oa":true,"landing_page_url":"https://doi.org/10.29007/btmj","pdf_url":"https://easychair.org/publications/open/69T4","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://easychair.org/publications/open/69T4","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080829319","display_name":"Peter Oostema","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Peter Oostema","raw_affiliation_strings":["Carnegie Mellon University Pittsburgh, Pennsylvania, United States"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University Pittsburgh, Pennsylvania, United States","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101995804","display_name":"Ruben Martins","orcid":"https://orcid.org/0000-0003-1525-1382"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ruben Martins","raw_affiliation_strings":["Carnegie Mellon University Pittsburgh, Pennsylvania, United States"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University Pittsburgh, Pennsylvania, United States","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025921874","display_name":"Marijn J. H. Heule","orcid":"https://orcid.org/0000-0002-5587-8801"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marijn Heule","raw_affiliation_strings":["Carnegie Mellon University Pittsburgh, Pennsylvania, United States"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University Pittsburgh, Pennsylvania, United States","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080829319"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":0.5781,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.72828508,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"73","issue":null,"first_page":"373","last_page":"355"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9976000189781189,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9976000189781189,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9959999918937683,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9958000183105469,"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/strips","display_name":"STRIPS","score":0.9054586291313171},{"id":"https://openalex.org/keywords/tile","display_name":"Tile","score":0.6389378309249878},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.585127055644989},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5138590335845947},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47334909439086914},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39212337136268616},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35504430532455444},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31128638982772827},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08808887004852295}],"concepts":[{"id":"https://openalex.org/C200925200","wikidata":"https://www.wikidata.org/wiki/Q7624170","display_name":"STRIPS","level":2,"score":0.9054586291313171},{"id":"https://openalex.org/C2780728851","wikidata":"https://www.wikidata.org/wiki/Q468402","display_name":"Tile","level":2,"score":0.6389378309249878},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.585127055644989},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5138590335845947},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47334909439086914},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39212337136268616},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35504430532455444},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31128638982772827},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08808887004852295},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.29007/btmj","is_oa":true,"landing_page_url":"https://doi.org/10.29007/btmj","pdf_url":"https://easychair.org/publications/open/69T4","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.29007/btmj","is_oa":true,"landing_page_url":"https://doi.org/10.29007/btmj","pdf_url":"https://easychair.org/publications/open/69T4","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.41999998688697815}],"awards":[{"id":"https://openalex.org/G2922803762","display_name":null,"funder_award_id":"45606","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6466491032","display_name":"SHF: Small: MaPaMaP: Massively Parallel Solving of Math Problems","funder_award_id":"1813993","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7404166632","display_name":"Bridges: From Communities and Data to Workflows and Insight","funder_award_id":"1445606","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7858740741","display_name":"SHF: Medium: Collaborative Research: Computer-Aided Programming for Data Science","funder_award_id":"1762363","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8729765517","display_name":null,"funder_award_id":"ACI-1445606","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3028657687.pdf","grobid_xml":"https://content.openalex.org/works/W3028657687.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1567586152","https://openalex.org/W1667362966","https://openalex.org/W1787074469","https://openalex.org/W1982373193","https://openalex.org/W2030455524","https://openalex.org/W2068566338","https://openalex.org/W2074504646","https://openalex.org/W2159121686","https://openalex.org/W2595622513","https://openalex.org/W2795827704","https://openalex.org/W2948964407","https://openalex.org/W2961708439","https://openalex.org/W2978770285","https://openalex.org/W2987023953","https://openalex.org/W3094611186","https://openalex.org/W4231640108","https://openalex.org/W4233975827","https://openalex.org/W4253040371","https://openalex.org/W4287634333","https://openalex.org/W4394666235"],"related_works":["https://openalex.org/W2114959296","https://openalex.org/W38346124","https://openalex.org/W2502442966","https://openalex.org/W2138666621","https://openalex.org/W2383936314","https://openalex.org/W2777914781","https://openalex.org/W1992771654","https://openalex.org/W4246369972","https://openalex.org/W4244869112","https://openalex.org/W2581250438"],"abstract_inverted_index":{"Satisfiability":[0],"(SAT)":[1],"solving":[2],"has":[3],"become":[4],"an":[5,151],"important":[6],"technology":[7],"in":[8,14,31],"computer-aided":[9],"mathematics":[10],"with":[11,34,147],"various":[12],"successes":[13],"number":[15,39],"and":[16,38,68,88,135],"graph":[17],"theory.":[18],"In":[19],"this":[20],"paper":[21],"we":[22,64],"apply":[23],"SAT":[24],"solvers":[25],"to":[26,98,106,124,132,138,150],"color":[27],"infinitely":[28],"long":[29],"strips":[30,67,95,134],"the":[32,62,66,75,107,140,144],"plane":[33],"a":[35,72,119],"given":[36],"height":[37,94,146,153],"of":[40,92,154],"colors.":[41],"The":[42,90],"coloring":[43],"is":[44],"constrained":[45],"as":[46],"follows:":[47],"two":[48,83],"points":[49,70],"that":[50,103,128],"are":[51,104],"exactly":[52],"unit":[53],"distance":[54],"apart":[55],"must":[56],"be":[57,118,130],"colored":[58],"differently.":[59],"To":[60],"finitize":[61],"problem,":[63],"tile":[65,73,85],"all":[69],"on":[71],"have":[74],"same":[76],"color.":[77],"We":[78],"evaluated":[79],"our":[80],"approach":[81],"using":[82,96],"different":[84],"shapes:":[86],"squares":[87],"hexagons.":[89],"visualization":[91],"bounded":[93],"3":[97],"6":[99],"colors":[100,149],"reveal":[101],"patterns":[102,127],"similar":[105],"best":[108],"known":[109],"lower":[110,141],"bounds":[111],"for":[112,122,126,143],"infinite":[113,133],"strips.":[114],"Our":[115],"method":[116],"can":[117,129],"useful":[120],"tool":[121],"mathematicians":[123],"search":[125],"generalized":[131],"allowed":[136],"us":[137],"increase":[139],"bound":[142],"strip":[145],"5":[148],"improved":[152],"1.700084.":[155]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
