{"id":"https://openalex.org/W1997066324","doi":"https://doi.org/10.1007/s00373-005-0617-0","title":"Integer Roots Chromatic Polynomials of Non-Chordal Graphs and the Prouhet-Tarry-Escott Problem","display_name":"Integer Roots Chromatic Polynomials of Non-Chordal Graphs and the Prouhet-Tarry-Escott Problem","publication_year":2005,"publication_date":"2005-09-01","ids":{"openalex":"https://openalex.org/W1997066324","doi":"https://doi.org/10.1007/s00373-005-0617-0","mag":"1997066324"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-005-0617-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-005-0617-0","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049279632","display_name":"Santos Hern\u00e1ndez Hern\u00e1ndez","orcid":"https://orcid.org/0000-0003-1198-8192"},"institutions":[{"id":"https://openalex.org/I162148367","display_name":"Pontificia Universidad Cat\u00f3lica de Chile","ror":"https://ror.org/04teye511","country_code":"CL","type":"education","lineage":["https://openalex.org/I162148367"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Santos Hern\u00e1ndez","raw_affiliation_strings":["Mathematical Institute, UNAMAp. Postal 61-3 (Xangari), CP 58 089, Morelia, Michoac\u00e1n, Mexico","Mathematical Institute, UNAMAp. Morelia, Michoac\u00e1n, Mexico and Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Santiago, Michoac\u00e1n, Chile#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, UNAMAp. Postal 61-3 (Xangari), CP 58 089, Morelia, Michoac\u00e1n, Mexico","institution_ids":[]},{"raw_affiliation_string":"Mathematical Institute, UNAMAp. Morelia, Michoac\u00e1n, Mexico and Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Santiago, Michoac\u00e1n, Chile#TAB#","institution_ids":["https://openalex.org/I162148367"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007752336","display_name":"Florian Luca","orcid":"https://orcid.org/0000-0003-1321-4422"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Florian Luca","raw_affiliation_strings":["Mathematical Institute, UNAMAp. Postal 61-3 (Xangari), CP 58 089, Morelia, Michoac\u00e1n, Mexico","Mathematical Institute, UNAMAp. Postal 61-3 (Xangari), CP 58 089, Morelia, Michoac\u00e1n, Mexico#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, UNAMAp. Postal 61-3 (Xangari), CP 58 089, Morelia, Michoac\u00e1n, Mexico","institution_ids":[]},{"raw_affiliation_string":"Mathematical Institute, UNAMAp. Postal 61-3 (Xangari), CP 58 089, Morelia, Michoac\u00e1n, Mexico#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049279632"],"corresponding_institution_ids":["https://openalex.org/I162148367"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.10654288,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"21","issue":"3","first_page":"319","last_page":"323"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9948999881744385,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9948999881744385,"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/T11476","display_name":"Graph theory and applications","score":0.994700014591217,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9908000230789185,"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/chordal-graph","display_name":"Chordal graph","score":0.849324107170105},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8238643407821655},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7756147384643555},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.632522463798523},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5808188319206238},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5027585029602051},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48223671317100525},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44821658730506897},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07716399431228638}],"concepts":[{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.849324107170105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8238643407821655},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7756147384643555},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.632522463798523},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5808188319206238},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5027585029602051},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48223671317100525},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44821658730506897},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07716399431228638},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-005-0617-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-005-0617-0","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1531387074","https://openalex.org/W1566820429","https://openalex.org/W2028027692","https://openalex.org/W2127466064","https://openalex.org/W4206167679"],"related_works":["https://openalex.org/W2626844239","https://openalex.org/W2065410741","https://openalex.org/W2133919704","https://openalex.org/W3178681420","https://openalex.org/W2028363955","https://openalex.org/W2397003135","https://openalex.org/W2117848356","https://openalex.org/W2043410679","https://openalex.org/W1970195683","https://openalex.org/W2014290730"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
