{"id":"https://openalex.org/W1907324563","doi":"https://doi.org/10.37236/346","title":"The Spectra of Certain Classes of Room Frames: The Last Cases","display_name":"The Spectra of Certain Classes of Room Frames: The Last Cases","publication_year":2010,"publication_date":"2010-05-20","ids":{"openalex":"https://openalex.org/W1907324563","doi":"https://doi.org/10.37236/346","mag":"1907324563"},"language":"en","primary_location":{"id":"doi:10.37236/346","is_oa":true,"landing_page_url":"https://doi.org/10.37236/346","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r74/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/v17i1r74/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110123256","display_name":"Jeffrey H. Dinitz","orcid":null},"institutions":[{"id":"https://openalex.org/I111236770","display_name":"University of Vermont","ror":"https://ror.org/0155zta11","country_code":"US","type":"education","lineage":["https://openalex.org/I111236770"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jeffrey H. Dinitz","raw_affiliation_strings":["University of Vermont Burlington, Vermont U.S.A. 05405","Department of Mathematics and Statistics"],"affiliations":[{"raw_affiliation_string":"University of Vermont Burlington, Vermont U.S.A. 05405","institution_ids":["https://openalex.org/I111236770"]},{"raw_affiliation_string":"Department of Mathematics and Statistics","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008837534","display_name":"Gregory S. Warrington","orcid":"https://orcid.org/0000-0002-7034-4496"},"institutions":[{"id":"https://openalex.org/I111236770","display_name":"University of Vermont","ror":"https://ror.org/0155zta11","country_code":"US","type":"education","lineage":["https://openalex.org/I111236770"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gregory S. Warrington","raw_affiliation_strings":["Department of Mathematics and Statistics","University of Vermont Burlington, Vermont U.S.A. 05405"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics","institution_ids":[]},{"raw_affiliation_string":"University of Vermont Burlington, Vermont U.S.A. 05405","institution_ids":["https://openalex.org/I111236770"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110123256"],"corresponding_institution_ids":["https://openalex.org/I111236770"],"apc_list":null,"apc_paid":null,"fwci":0.5882,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.69848523,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"17","issue":"1","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":0.9994999766349792,"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":0.9994999766349792,"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/T10849","display_name":"Finite Group Theory Research","score":0.9805999994277954,"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/T11130","display_name":"Coding theory and cryptography","score":0.9487000107765198,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/spectral-line","display_name":"Spectral line","score":0.7260928750038147},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.7042902708053589},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6449801325798035},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.64162278175354},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5211055874824524},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.4149203896522522},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19744229316711426},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10027256608009338},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09874692559242249},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.041187405586242676}],"concepts":[{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.7260928750038147},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.7042902708053589},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6449801325798035},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.64162278175354},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5211055874824524},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.4149203896522522},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19744229316711426},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10027256608009338},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09874692559242249},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.041187405586242676},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.37236/346","is_oa":true,"landing_page_url":"https://doi.org/10.37236/346","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r74/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:CiteSeerX.psu:10.1.1.177.9808","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.177.9808","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/Volume_17/PDF/v17i1r74.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.485.8914","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.485.8914","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.emba.uvm.edu/~jdinitz/preprints/smallframes.09.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/346","is_oa":true,"landing_page_url":"https://doi.org/10.37236/346","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r74/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":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1907324563.pdf","grobid_xml":"https://content.openalex.org/works/W1907324563.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W403078265","https://openalex.org/W1507980525","https://openalex.org/W1982740217","https://openalex.org/W2052758143","https://openalex.org/W2090675814","https://openalex.org/W2092151284","https://openalex.org/W3044733345"],"related_works":["https://openalex.org/W4283690284","https://openalex.org/W3180808905","https://openalex.org/W2405444689","https://openalex.org/W3036649287","https://openalex.org/W268440552","https://openalex.org/W2940348078","https://openalex.org/W597131776","https://openalex.org/W2899720274","https://openalex.org/W2980963558","https://openalex.org/W3006067695"],"abstract_inverted_index":{"In":[0,51],"this":[1,44,69],"paper":[2],"we":[3,17,46,53],"study":[4,18],"the":[5,41,48],"spectra":[6,15],"of":[7,10,29,58,66,68],"certain":[8],"classes":[9],"Room":[11,21,24,27],"frames.":[12],"The":[13],"three":[14,49],"which":[16],"are":[19],"incomplete":[20],"squares,":[22],"uniform":[23],"frames":[25,28],"and":[26],"type":[30,59],"$2^ut^1$.":[31],"These":[32],"problems":[33],"have":[34],"been":[35],"studied":[36],"in":[37,43],"numerous":[38],"papers":[39],"over":[40],"years;":[42],"paper,":[45],"complete":[47],"spectra.":[50],"addition":[52],"find":[54],"a":[55,63],"Howell":[56],"cube":[57],"$H_3(6,10)$.":[60],"This":[61],"corrects":[62],"previous":[64],"claim":[65],"nonexistence":[67],"design.":[70]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
