{"id":"https://openalex.org/W4414413505","doi":"https://doi.org/10.1016/j.dam.2026.05.007","title":"Metric dimension of a direct product of three complete graphs: The middle cone family","display_name":"Metric dimension of a direct product of three complete graphs: The middle cone family","publication_year":2026,"publication_date":"2026-05-22","ids":{"openalex":"https://openalex.org/W4414413505","doi":"https://doi.org/10.1016/j.dam.2026.05.007"},"language":"en","primary_location":{"id":"doi:10.1016/j.dam.2026.05.007","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.dam.2026.05.007","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2507.16169","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021708890","display_name":"Briana Foster-Greenwood","orcid":null},"institutions":[{"id":"https://openalex.org/I98947143","display_name":"California State Polytechnic University","ror":"https://ror.org/05by5hm18","country_code":"US","type":"education","lineage":["https://openalex.org/I98947143"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Briana Foster-Greenwood","raw_affiliation_strings":["Department of Mathematics and Statistics, California State Polytechnic University, Pomona, CA 91768, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, California State Polytechnic University, Pomona, CA 91768, United States of America","institution_ids":["https://openalex.org/I98947143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082949493","display_name":"Christine Uhl","orcid":null},"institutions":[{"id":"https://openalex.org/I117309725","display_name":"St. Bonaventure University","ror":"https://ror.org/026bv4494","country_code":"US","type":"education","lineage":["https://openalex.org/I117309725"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Christine Uhl","raw_affiliation_strings":["Department of Mathematics, St. Bonaventure University, St Bonaventure, NY 14778, United States of America"],"raw_orcid":"https://orcid.org/0000-0002-3523-9412","affiliations":[{"raw_affiliation_string":"Department of Mathematics, St. Bonaventure University, St Bonaventure, NY 14778, United States of America","institution_ids":["https://openalex.org/I117309725"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082949493"],"corresponding_institution_ids":["https://openalex.org/I117309725"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01951273,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"391","issue":null,"first_page":"367","last_page":"381"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9988999962806702,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9988999962806702,"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":0.9577999711036682,"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/dimension","display_name":"Dimension (graph theory)","score":0.664900004863739},{"id":"https://openalex.org/keywords/direct-product","display_name":"Direct product","score":0.6507999897003174},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5649999976158142},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.478300005197525},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4731000065803528},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43639999628067017},{"id":"https://openalex.org/keywords/metric-dimension","display_name":"Metric dimension","score":0.35749998688697815}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7763000130653381},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.664900004863739},{"id":"https://openalex.org/C58193220","wikidata":"https://www.wikidata.org/wiki/Q1778193","display_name":"Direct product","level":2,"score":0.6507999897003174},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5649999976158142},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5163000226020813},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.478300005197525},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4731000065803528},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43639999628067017},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4059999883174896},{"id":"https://openalex.org/C60933471","wikidata":"https://www.wikidata.org/wiki/Q17152964","display_name":"Metric dimension","level":5,"score":0.35749998688697815},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.35600000619888306},{"id":"https://openalex.org/C80661125","wikidata":"https://www.wikidata.org/wiki/Q5404299","display_name":"Packing dimension","level":5,"score":0.29809999465942383},{"id":"https://openalex.org/C150591576","wikidata":"https://www.wikidata.org/wiki/Q739925","display_name":"Family of sets","level":3,"score":0.2799000144004822},{"id":"https://openalex.org/C24484764","wikidata":"https://www.wikidata.org/wiki/Q2687694","display_name":"Dual cone and polar cone","level":3,"score":0.27889999747276306},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.2752000093460083},{"id":"https://openalex.org/C154497576","wikidata":"https://www.wikidata.org/wiki/Q7247777","display_name":"Product metric","level":3,"score":0.27390000224113464},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.26899999380111694}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.dam.2026.05.007","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.dam.2026.05.007","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2507.16169","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.16169","pdf_url":"https://arxiv.org/pdf/2507.16169","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2507.16169","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2507.16169","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":"pmh:oai:arXiv.org:2507.16169","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.16169","pdf_url":"https://arxiv.org/pdf/2507.16169","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-05-24T06:10:38.904174","created_date":"2025-10-10T00:00:00"}