{"id":"https://openalex.org/W1838245566","doi":"https://doi.org/10.37236/627","title":"Mr. Paint and Mrs. Correct go Fractional","display_name":"Mr. Paint and Mrs. Correct go Fractional","publication_year":2011,"publication_date":"2011-07-01","ids":{"openalex":"https://openalex.org/W1838245566","doi":"https://doi.org/10.37236/627","mag":"1838245566"},"language":"en","primary_location":{"id":"doi:10.37236/627","is_oa":true,"landing_page_url":"https://doi.org/10.37236/627","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p140/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p140/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038250666","display_name":"Grzegorz Gutowski","orcid":"https://orcid.org/0000-0003-3313-1237"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Grzegorz Gutowski","raw_affiliation_strings":["Theoretical Computer Science Department Jagiellonian University, Krakw, Poland","Theoretical Computer Science Department Jagiellonian University, Krak\u00f3w, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretical Computer Science Department Jagiellonian University, Krakw, Poland","institution_ids":["https://openalex.org/I126596746"]},{"raw_affiliation_string":"Theoretical Computer Science Department Jagiellonian University, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038250666"],"corresponding_institution_ids":["https://openalex.org/I126596746"],"apc_list":null,"apc_paid":null,"fwci":1.2802,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85342188,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"18","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11161","display_name":"Consumer Market Behavior and Pricing","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1406","display_name":"Marketing"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11161","display_name":"Consumer Market Behavior and Pricing","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1406","display_name":"Marketing"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7179057598114014},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.7097037434577942},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.6445135474205017},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6337870359420776},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49925994873046875},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4864887595176697},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3365755081176758},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23735108971595764},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07613077759742737}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7179057598114014},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.7097037434577942},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.6445135474205017},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6337870359420776},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49925994873046875},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4864887595176697},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3365755081176758},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23735108971595764},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07613077759742737}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.37236/627","is_oa":true,"landing_page_url":"https://doi.org/10.37236/627","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p140/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:ruj.uj.edu.pl:item/77724","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/xmlui/handle/item/77724","pdf_url":null,"source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.372.8289","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.372.8289","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/ojs/index.php/eljc/article/viewFile/v18i1p140/pdf/","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/627","is_oa":true,"landing_page_url":"https://doi.org/10.37236/627","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p140/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1838245566.pdf","grobid_xml":"https://content.openalex.org/works/W1838245566.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W1587621605","https://openalex.org/W1598828859","https://openalex.org/W2055085175"],"related_works":["https://openalex.org/W4310632214","https://openalex.org/W2415710374","https://openalex.org/W4287819550","https://openalex.org/W1964998024","https://openalex.org/W2369184155","https://openalex.org/W1969835237","https://openalex.org/W2000924970","https://openalex.org/W2067133893","https://openalex.org/W2287003313","https://openalex.org/W1972748334"],"abstract_inverted_index":{"We":[0,20,86],"study":[1],"a":[2,23,115],"fractional":[3,64],"counterpart":[4],"of":[5,25,54,78],"the":[6,34,39,45,52,59,63,72,76,92,95,106,110],"on-line":[7,35,96,111,117],"list":[8],"colouring":[9],"game":[10,118],"\"Mr.":[11],"Paint":[12],"and":[13,38,114],"Mrs.":[14],"Correct\"":[15],"introduced":[16],"recently":[17],"by":[18,27,104],"Schauz.":[19],"answer":[21],"positively":[22],"question":[24],"Zhu":[26],"proving":[28],"that":[29,58,71,88],"for":[30,94],"any":[31],"given":[32],"graph":[33],"choice":[36,41,60,97,112],"ratio":[37,42,61],"(off-line)":[40],"coincide.":[43],"On":[44],"other":[46],"hand":[47],"it":[48],"is":[49,90],"known":[50],"from":[51],"paper":[53],"Alon":[55],"et":[56],"al.":[57],"equals":[62],"chromatic":[65],"number.":[66],"It":[67],"was":[68],"also":[69],"shown":[70],"limits":[73],"used":[74],"in":[75],"definitions":[77],"these":[79],"last":[80],"two":[81],"notions":[82],"can":[83],"be":[84],"realised.":[85],"show":[87],"this":[89],"not":[91],"case":[93],"ratio.":[98],"Both":[99],"our":[100],"results":[101],"are":[102],"obtained":[103],"exploring":[105],"strong":[107],"links":[108],"between":[109],"ratio,":[113],"new":[116],"with":[119],"probabilistic":[120],"flavour":[121],"which":[122],"we":[123],"introduce.":[124]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}