{"id":"https://openalex.org/W2257485734","doi":"https://doi.org/10.1007/s00373-017-1757-8","title":"Improved Bounds for Relaxed Graceful Trees","display_name":"Improved Bounds for Relaxed Graceful Trees","publication_year":2017,"publication_date":"2017-01-05","ids":{"openalex":"https://openalex.org/W2257485734","doi":"https://doi.org/10.1007/s00373-017-1757-8","mag":"2257485734"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-017-1757-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-017-1757-8","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1402.0196","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026014082","display_name":"Christian Barrientos","orcid":"https://orcid.org/0000-0003-2838-8687"},"institutions":[{"id":"https://openalex.org/I185241533","display_name":"Clayton State University","ror":"https://ror.org/00t47w971","country_code":"US","type":"education","lineage":["https://openalex.org/I185241533"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Christian Barrientos","raw_affiliation_strings":["Department of Mathematics, Clayton State University, Morrow, GA, 30260, USA","Department of Mathematics, Clayton State University, Morrow, USA 30260#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Clayton State University, Morrow, GA, 30260, USA","institution_ids":["https://openalex.org/I185241533"]},{"raw_affiliation_string":"Department of Mathematics, Clayton State University, Morrow, USA 30260#TAB#","institution_ids":["https://openalex.org/I185241533"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047085042","display_name":"Elliot Krop","orcid":"https://orcid.org/0000-0002-0485-1430"},"institutions":[{"id":"https://openalex.org/I185241533","display_name":"Clayton State University","ror":"https://ror.org/00t47w971","country_code":"US","type":"education","lineage":["https://openalex.org/I185241533"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Elliot Krop","raw_affiliation_strings":["Department of Mathematics, Clayton State University, Morrow, GA, 30260, USA","Department of Mathematics, Clayton State University, Morrow, USA 30260#TAB#"],"raw_orcid":"https://orcid.org/0000-0002-0485-1430","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Clayton State University, Morrow, GA, 30260, USA","institution_ids":["https://openalex.org/I185241533"]},{"raw_affiliation_string":"Department of Mathematics, Clayton State University, Morrow, USA 30260#TAB#","institution_ids":["https://openalex.org/I185241533"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026014082"],"corresponding_institution_ids":["https://openalex.org/I185241533"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00717993,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"2","first_page":"287","last_page":"305"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":1.0,"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":1.0,"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/T11476","display_name":"Graph theory and applications","score":0.9818000197410583,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9803000092506409,"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/combinatorics","display_name":"Combinatorics","score":0.8682634234428406},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7861795425415039},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6506881713867188},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6265551447868347},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6023144721984863},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5346801280975342},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5234912633895874},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4387710988521576},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.4169957935810089},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.36268723011016846},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09554120898246765},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.056928157806396484},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.051537662744522095}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8682634234428406},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7861795425415039},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6506881713867188},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6265551447868347},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6023144721984863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5346801280975342},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5234912633895874},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4387710988521576},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4169957935810089},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.36268723011016846},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09554120898246765},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.056928157806396484},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.051537662744522095},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00373-017-1757-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-017-1757-8","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1402.0196","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1402.0196","pdf_url":"https://arxiv.org/pdf/1402.0196","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":null,"raw_type":"text"},{"id":"mag:2257485734","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1402.0196.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.1402.0196","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1402.0196","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-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1402.0196","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1402.0196","pdf_url":"https://arxiv.org/pdf/1402.0196","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W36109278","https://openalex.org/W1485272726","https://openalex.org/W1603682934","https://openalex.org/W1972382570","https://openalex.org/W1982506930","https://openalex.org/W1988739150","https://openalex.org/W2112641412","https://openalex.org/W2116562963","https://openalex.org/W2170457172","https://openalex.org/W2268675585","https://openalex.org/W2511887647","https://openalex.org/W4232395634"],"related_works":["https://openalex.org/W2016920997","https://openalex.org/W2014264838","https://openalex.org/W2990730976","https://openalex.org/W781498321","https://openalex.org/W2418021936","https://openalex.org/W2411765854","https://openalex.org/W3093928747","https://openalex.org/W2520812260","https://openalex.org/W3183894834","https://openalex.org/W2949182938","https://openalex.org/W3035552617","https://openalex.org/W999425096","https://openalex.org/W3082270022","https://openalex.org/W2087811943","https://openalex.org/W1993219112","https://openalex.org/W2141072651","https://openalex.org/W3031831573","https://openalex.org/W2951579329","https://openalex.org/W2552392178","https://openalex.org/W2953315823"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}