{"id":"https://openalex.org/W2060730025","doi":"https://doi.org/10.1007/s00373-014-1520-3","title":"Injective Colorings with Arithmetic Constraints","display_name":"Injective Colorings with Arithmetic Constraints","publication_year":2015,"publication_date":"2015-01-09","ids":{"openalex":"https://openalex.org/W2060730025","doi":"https://doi.org/10.1007/s00373-014-1520-3","mag":"2060730025"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-014-1520-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-014-1520-3","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":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3265453","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057864359","display_name":"Natacha Astromujoff","orcid":null},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"N. Astromujoff","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidad de Chile, Santiago, Chile","Departamento de Matematica, Universidad de Chile, Santiago, Chile"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidad de Chile, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]},{"raw_affiliation_string":"Departamento de Matematica, Universidad de Chile, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108186357","display_name":"Mathieu Chapelle","orcid":null},"institutions":[{"id":"https://openalex.org/I12449238","display_name":"Universit\u00e9 d'Orl\u00e9ans","ror":"https://ror.org/014zrew76","country_code":"FR","type":"education","lineage":["https://openalex.org/I12449238"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. Chapelle","raw_affiliation_strings":["Laboratoire d\u2019Informatique Fondamentale d\u2019Orl\u00e9ans, Universit\u00e9 d\u2019Orl\u00e9ans, Orl\u00e9ans, France","Laboratoire d'Informatique Fondamentale d'Orl\u00e9ans, Universit\u00e9 d'Orl\u00e9ans, Orl\u00e9ans, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Informatique Fondamentale d\u2019Orl\u00e9ans, Universit\u00e9 d\u2019Orl\u00e9ans, Orl\u00e9ans, France","institution_ids":["https://openalex.org/I12449238"]},{"raw_affiliation_string":"Laboratoire d'Informatique Fondamentale d'Orl\u00e9ans, Universit\u00e9 d'Orl\u00e9ans, Orl\u00e9ans, France#TAB#","institution_ids":["https://openalex.org/I12449238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035315880","display_name":"Mart\u0131\u0301n Matamala","orcid":"https://orcid.org/0000-0001-6919-6206"},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"M. Matamala","raw_affiliation_strings":["Departamento de Ingenier\u00eda Matem\u00e1tica, Centro de Modelamiento Matem\u00e1tico (UMI 2807 CNRS), Universidad de Chile, Santiago, Chile"],"affiliations":[{"raw_affiliation_string":"Departamento de Ingenier\u00eda Matem\u00e1tica, Centro de Modelamiento Matem\u00e1tico (UMI 2807 CNRS), Universidad de Chile, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081733098","display_name":"Ioan Todinca","orcid":"https://orcid.org/0000-0002-3466-859X"},"institutions":[{"id":"https://openalex.org/I12449238","display_name":"Universit\u00e9 d'Orl\u00e9ans","ror":"https://ror.org/014zrew76","country_code":"FR","type":"education","lineage":["https://openalex.org/I12449238"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"I. Todinca","raw_affiliation_strings":["Laboratoire d\u2019Informatique Fondamentale d\u2019Orl\u00e9ans, Universit\u00e9 d\u2019Orl\u00e9ans, Orl\u00e9ans, France","Laboratoire d'Informatique Fondamentale d'Orl\u00e9ans, Universit\u00e9 d'Orl\u00e9ans, Orl\u00e9ans, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Informatique Fondamentale d\u2019Orl\u00e9ans, Universit\u00e9 d\u2019Orl\u00e9ans, Orl\u00e9ans, France","institution_ids":["https://openalex.org/I12449238"]},{"raw_affiliation_string":"Laboratoire d'Informatique Fondamentale d'Orl\u00e9ans, Universit\u00e9 d'Orl\u00e9ans, Orl\u00e9ans, France#TAB#","institution_ids":["https://openalex.org/I12449238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029463429","display_name":"Jos\u00e9 Zamora","orcid":"https://orcid.org/0000-0003-0455-8856"},"institutions":[{"id":"https://openalex.org/I13897259","display_name":"Universidad Andr\u00e9s Bello","ror":"https://ror.org/01qq57711","country_code":"CL","type":"education","lineage":["https://openalex.org/I13897259"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"J. Zamora","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad Andr\u00e9s Bello, Santiago, Chile","Departamento de Matematicas, Universidad Andres Bello, Santiago, Chile"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad Andr\u00e9s Bello, Santiago, Chile","institution_ids":["https://openalex.org/I13897259"]},{"raw_affiliation_string":"Departamento de Matematicas, Universidad Andres Bello, Santiago, Chile","institution_ids":["https://openalex.org/I13897259"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5057864359"],"corresponding_institution_ids":["https://openalex.org/I69737025"],"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":0.07385375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"6","first_page":"2003","last_page":"2017"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9997000098228455,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8596282005310059},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.847184419631958},{"id":"https://openalex.org/keywords/injective-function","display_name":"Injective function","score":0.7316482067108154},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6452510952949524},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5525267124176025},{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.5413562655448914},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5223751664161682},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.4636261463165283},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.45263421535491943},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4322831630706787},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4169042110443115},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.28784501552581787},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.14199984073638916},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.10499653220176697}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8596282005310059},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.847184419631958},{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.7316482067108154},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6452510952949524},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5525267124176025},{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.5413562655448914},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5223751664161682},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.4636261463165283},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.45263421535491943},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4322831630706787},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4169042110443115},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.28784501552581787},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.14199984073638916},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.10499653220176697},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00373-014-1520-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-014-1520-3","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:HAL:hal-01223938v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01223938","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Graphs and Combinatorics, 2015, 31 (6), pp.2003-2017. &#x27E8;10.1007/s00373-014-1520-3&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:americanae.aecid.es:3265453","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3265453","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Graphs And Combinatorics","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:localhost:10533/147976","is_oa":true,"landing_page_url":"http://hdl.handle.net/10533/147976","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Graphs And Combinatorics","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:repositorio.uchile.cl:2250/135994","is_oa":true,"landing_page_url":"https://repositorio.uchile.cl/handle/2250/135994","pdf_url":null,"source":{"id":"https://openalex.org/S4306481413","display_name":"Universidad de Chile","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Art\u00edculo de revista"}],"best_oa_location":{"id":"pmh:oai:americanae.aecid.es:3265453","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3265453","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Graphs And Combinatorics","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1488916590","https://openalex.org/W1586990653","https://openalex.org/W1929096065","https://openalex.org/W1996922551","https://openalex.org/W2009196521","https://openalex.org/W2023600080","https://openalex.org/W2028215921","https://openalex.org/W2028357390","https://openalex.org/W2030243808","https://openalex.org/W2041824078","https://openalex.org/W2058422149","https://openalex.org/W2085421834","https://openalex.org/W2085716675","https://openalex.org/W2100534737","https://openalex.org/W2102669784","https://openalex.org/W2108900323","https://openalex.org/W2125862453","https://openalex.org/W2126186592","https://openalex.org/W2148410650","https://openalex.org/W2153418810","https://openalex.org/W2949871485"],"related_works":["https://openalex.org/W4394659764","https://openalex.org/W3089939915","https://openalex.org/W4388889440","https://openalex.org/W2287845327","https://openalex.org/W3184578513","https://openalex.org/W2085606487","https://openalex.org/W3162029291","https://openalex.org/W2144392803","https://openalex.org/W4296168622","https://openalex.org/W3004659243"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
