{"id":"https://openalex.org/W2024620413","doi":"https://doi.org/10.1142/s1793830912500371","title":"SOME RESULTS ON (p, g,\u2211)-VALUATION OF GRAPHS","display_name":"SOME RESULTS ON (p, g,\u2211)-VALUATION OF GRAPHS","publication_year":2012,"publication_date":"2012-08-06","ids":{"openalex":"https://openalex.org/W2024620413","doi":"https://doi.org/10.1142/s1793830912500371","mag":"2024620413"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830912500371","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830912500371","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062342168","display_name":"Maryvonne Mah\u00e9o","orcid":null},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"MARYVONNE MAH\u00c9O","raw_affiliation_strings":["U.M.R. 86-23, L.R.I., B\u00e2t., 490, Universit\u00e9 Paris-Sud, 91405 Orsay, France"],"affiliations":[{"raw_affiliation_string":"U.M.R. 86-23, L.R.I., B\u00e2t., 490, Universit\u00e9 Paris-Sud, 91405 Orsay, France","institution_ids":["https://openalex.org/I102197404"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059074776","display_name":"Jean-Fran\u00e7ois Sacl\u00e9","orcid":null},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"JEAN-FRAN\u00c7OIS SACL\u00c9","raw_affiliation_strings":["U.M.R. 86-23, L.R.I., B\u00e2t., 490, Universit\u00e9 Paris-Sud, 91405 Orsay, France"],"affiliations":[{"raw_affiliation_string":"U.M.R. 86-23, L.R.I., B\u00e2t., 490, Universit\u00e9 Paris-Sud, 91405 Orsay, France","institution_ids":["https://openalex.org/I102197404"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062342168"],"corresponding_institution_ids":["https://openalex.org/I102197404"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10003613,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"04","issue":"03","first_page":"1250037","last_page":"1250037"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9868999719619751,"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":0.9333999752998352,"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":0.7370742559432983},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6482928395271301},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5870620608329773},{"id":"https://openalex.org/keywords/valuation","display_name":"Valuation (finance)","score":0.5777324438095093},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5174291729927063},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41201600432395935},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.07515990734100342}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7370742559432983},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6482928395271301},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5870620608329773},{"id":"https://openalex.org/C186027771","wikidata":"https://www.wikidata.org/wiki/Q4008379","display_name":"Valuation (finance)","level":2,"score":0.5777324438095093},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5174291729927063},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41201600432395935},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.07515990734100342},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1793830912500371","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830912500371","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.211.1529","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.211.1529","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lri.fr/%7Ebibli/Rapports-internes/2011/RR1543.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2799004609","https://openalex.org/W4255486464"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W2002282073","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W4288278856"],"abstract_inverted_index":{"In":[0],"this":[1,35],"article":[2],"we":[3],"study":[4],"proper":[5],"labelings":[6],"(or":[7],"valuations)":[8],"of":[9,12,21,34,45,57],"the":[10,19,22,26,43,49],"edges":[11,27],"a":[13],"graph":[14],"by":[15],"integers,":[16],"such":[17],"that":[18],"sums":[20],"values":[23],"taken":[24],"on":[25],"incident":[28],"to":[29],"each":[30],"vertex":[31],"(the":[32],"weight":[33],"vertex)":[36],"are":[37],"all":[38],"distinct.":[39],"We":[40],"look":[41],"for":[42,53],"minimum":[44],"max":[46],"(v)":[47],"among":[48],"possible":[50],"valuations":[51],"v":[52],"some":[54],"particular":[55],"classes":[56],"graphs.":[58]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}