{"id":"https://openalex.org/W4297012049","doi":"https://doi.org/10.37236/10210","title":"Perfect Domination Ratios of Archimedean Lattices","display_name":"Perfect Domination Ratios of Archimedean Lattices","publication_year":2022,"publication_date":"2022-09-23","ids":{"openalex":"https://openalex.org/W4297012049","doi":"https://doi.org/10.37236/10210"},"language":"en","primary_location":{"id":"doi:10.37236/10210","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10210","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i3p60/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":"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/v29i3p60/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033069227","display_name":"Yunfan Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yunfan Zhao","raw_affiliation_strings":["Graduate Student, Columbia University"],"affiliations":[{"raw_affiliation_string":"Graduate Student, Columbia University","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064543263","display_name":"John C. Wierman","orcid":"https://orcid.org/0000-0002-5000-9455"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John C Wierman","raw_affiliation_strings":["Johns Hopkins University"],"affiliations":[{"raw_affiliation_string":"Johns Hopkins University","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030826697","display_name":"Thomas G. Marge","orcid":null},"institutions":[{"id":"https://openalex.org/I4210096386","display_name":"Bridge University","ror":"https://ror.org/00cbm0437","country_code":"SS","type":"education","lineage":["https://openalex.org/I4210096386"]},{"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","SS"],"is_corresponding":false,"raw_author_name":"Thomas G. Marge","raw_affiliation_strings":["Graduate Student, Cambridge University"],"affiliations":[{"raw_affiliation_string":"Graduate Student, Cambridge University","institution_ids":["https://openalex.org/I4210096386","https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033069227"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":null,"apc_paid":null,"fwci":0.1461,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49196408,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"29","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9932000041007996,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9932000041007996,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9104999899864197,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8763255476951599},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.817084789276123},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.623031735420227},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.586379885673523},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.53780597448349},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4393073320388794},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35930532217025757}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8763255476951599},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.817084789276123},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.623031735420227},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.586379885673523},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.53780597448349},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4393073320388794},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35930532217025757}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/10210","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10210","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i3p60/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"}],"best_oa_location":{"id":"doi:10.37236/10210","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10210","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i3p60/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":[{"score":0.4699999988079071,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4297012049.pdf","grobid_xml":"https://content.openalex.org/works/W4297012049.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W560340026","https://openalex.org/W1493071618","https://openalex.org/W1563013834","https://openalex.org/W1600003812","https://openalex.org/W1726112952","https://openalex.org/W1967615695","https://openalex.org/W2017926358","https://openalex.org/W2023772760","https://openalex.org/W2049813055","https://openalex.org/W2074243375","https://openalex.org/W2094351242","https://openalex.org/W2121059673","https://openalex.org/W2133374753","https://openalex.org/W2145286832","https://openalex.org/W2742078550","https://openalex.org/W2794958013","https://openalex.org/W2797120489","https://openalex.org/W2900756254","https://openalex.org/W2946969740","https://openalex.org/W2964156607","https://openalex.org/W3119769001","https://openalex.org/W4295295757","https://openalex.org/W4297012049","https://openalex.org/W4299662918","https://openalex.org/W4300348617","https://openalex.org/W4397888041","https://openalex.org/W6629413194","https://openalex.org/W6746265577","https://openalex.org/W6750358356","https://openalex.org/W6843152090"],"related_works":["https://openalex.org/W2794522194","https://openalex.org/W2963404550","https://openalex.org/W30750922","https://openalex.org/W2033190383","https://openalex.org/W4235356280","https://openalex.org/W4299822763","https://openalex.org/W2339280209","https://openalex.org/W2763279932","https://openalex.org/W3118953946","https://openalex.org/W2612157706"],"abstract_inverted_index":{"An":[0],"Archimedean":[1,60,82],"lattice":[2],"is":[3,23,32,37,45],"an":[4],"infinite":[5],"graph":[6],"constructed":[7],"from":[8],"a":[9,24,52],"vertex-transitive":[10],"tiling":[11],"of":[12,21,49,57],"the":[13,35,46,58,80],"plane":[14],"by":[15],"regular":[16],"polygons.":[17],"A":[18],"dominating":[19,26,54],"set":[20,27,36],"vertices":[22,50],"perfect":[25,42,53,70,74],"if":[28],"every":[29],"vertex":[30],"that":[31,84],"not":[33,86],"in":[34,51],"dominated":[38],"exactly":[39],"once.":[40],"The":[41,73],"domination":[43,71,75],"ratio":[44],"minimum":[47],"proportion":[48],"set.":[55],"Seven":[56],"eleven":[59],"lattices":[61,83],"can":[62,85],"be":[63,87],"efficiently":[64,88],"dominated,":[65],"which":[66],"easily":[67],"determines":[68],"their":[69],"ratios.":[72],"ratios":[76],"are":[77],"determined":[78],"for":[79],"four":[81],"dominated.":[89]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
