{"id":"https://openalex.org/W2911348934","doi":"https://doi.org/10.37236/8490","title":"Coordinate Deletion of Zeroes","display_name":"Coordinate Deletion of Zeroes","publication_year":2019,"publication_date":"2019-09-13","ids":{"openalex":"https://openalex.org/W2911348934","doi":"https://doi.org/10.37236/8490","mag":"2911348934"},"language":"en","primary_location":{"id":"doi:10.37236/8490","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8490","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i3p50/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i3p50/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046680485","display_name":"Eero R\u00e4ty","orcid":null},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Eero R\u00e4ty","raw_affiliation_strings":["University of Cambridge","Univ. of Cambridge"],"affiliations":[{"raw_affiliation_string":"University of Cambridge","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Univ. of Cambridge","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5046680485"],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00542001,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9757000207901001,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9650999903678894,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/shadow","display_name":"Shadow (psychology)","score":0.8985048532485962},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.637162446975708},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5895112156867981},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5837343335151672},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5686670541763306},{"id":"https://openalex.org/keywords/delta","display_name":"Delta","score":0.5340669751167297},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2363499104976654},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15838146209716797},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.04337337613105774}],"concepts":[{"id":"https://openalex.org/C117797892","wikidata":"https://www.wikidata.org/wiki/Q286363","display_name":"Shadow (psychology)","level":2,"score":0.8985048532485962},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.637162446975708},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5895112156867981},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5837343335151672},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5686670541763306},{"id":"https://openalex.org/C5072461","wikidata":"https://www.wikidata.org/wiki/Q49506","display_name":"Delta","level":2,"score":0.5340669751167297},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2363499104976654},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15838146209716797},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.04337337613105774},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.37236/8490","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8490","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i3p50/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1901.09814","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1901.09814","pdf_url":"https://arxiv.org/pdf/1901.09814","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"mag:2911348934","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1901.09814.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1901.09814","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1901.09814","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.37236/8490","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8490","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i3p50/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4080859916","display_name":null,"funder_award_id":"1951100","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2911348934.pdf","grobid_xml":"https://content.openalex.org/works/W2911348934.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W2014756030","https://openalex.org/W2023975972","https://openalex.org/W2090322880"],"related_works":["https://openalex.org/W2999010428","https://openalex.org/W204255839","https://openalex.org/W2011474768","https://openalex.org/W2953128076","https://openalex.org/W2964204138","https://openalex.org/W1520462245","https://openalex.org/W21899992","https://openalex.org/W2751099058","https://openalex.org/W1527166211","https://openalex.org/W1630129782","https://openalex.org/W1901474581","https://openalex.org/W2952382545","https://openalex.org/W1181004388","https://openalex.org/W2262252406","https://openalex.org/W2007217473","https://openalex.org/W75253756","https://openalex.org/W220189161","https://openalex.org/W3011424014","https://openalex.org/W2052031636","https://openalex.org/W2963356545"],"abstract_inverted_index":{"For":[0],"a":[1],"family":[2,57],"$A\\subseteq\\left\\{":[3],"0,\\dots,k\\right\\}":[4],"^{n}$,":[5],"define":[6],"the":[7,13,31,56,72],"$\\delta$-shadow":[8],"of":[9,22,33,58],"$A$":[10,17,39,75],"to":[11,40,50],"be":[12],"set":[14],"obtained":[15],"from":[16,20],"by":[18],"removing":[19],"any":[21,54],"its":[23,42],"vectors":[24],"one":[25],"coordinate":[26],"that":[27],"equals":[28],"zero.":[29],"Given":[30],"size":[32],"$A$,":[34],"how":[35],"should":[36],"we":[37],"choose":[38],"minimise":[41],"$\\delta$-shadow?":[43],"Our":[44],"aim":[45],"in":[46],"this":[47],"paper":[48],"is":[49],"show":[51],"that,":[52],"for":[53,76],"$r$,":[55],"all":[59],"sequences":[60],"with":[61],"at":[62],"most":[63],"$r$":[64],"zeros":[65],"has":[66],"minimal":[67],"$\\delta$-shadow.":[68],"We":[69],"actually":[70],"give":[71],"exact":[73],"best":[74],"every":[77],"size.":[78]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}