{"id":"https://openalex.org/W2143683474","doi":"https://doi.org/10.1017/s0963548300000705","title":"A Zero-Free Interval for Chromatic Polynomials of Graphs","display_name":"A Zero-Free Interval for Chromatic Polynomials of Graphs","publication_year":1993,"publication_date":"1993-09-01","ids":{"openalex":"https://openalex.org/W2143683474","doi":"https://doi.org/10.1017/s0963548300000705","mag":"2143683474"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548300000705","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548300000705","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","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/A5059315194","display_name":"Bill Jackson","orcid":"https://orcid.org/0000-0002-1381-8675"},"institutions":[{"id":"https://openalex.org/I55521800","display_name":"Goldsmiths University of London","ror":"https://ror.org/01khx4a30","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I55521800"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Bill Jackson","raw_affiliation_strings":["Department of Mathematical Studies, Goldsmiths' College, London SE14 6NW, England","Department of Mathematical Studies, Goldsmiths' College, London, SE14 6NW, England"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Studies, Goldsmiths' College, London SE14 6NW, England","institution_ids":["https://openalex.org/I55521800"]},{"raw_affiliation_string":"Department of Mathematical Studies, Goldsmiths' College, London, SE14 6NW, England","institution_ids":["https://openalex.org/I55521800"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059315194"],"corresponding_institution_ids":["https://openalex.org/I55521800"],"apc_list":null,"apc_paid":null,"fwci":1.0204,"has_fulltext":false,"cited_by_count":118,"citation_normalized_percentile":{"value":0.77873846,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"2","issue":"3","first_page":"325","last_page":"336"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9919999837875366,"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/T11476","display_name":"Graph theory and applications","score":0.9919999837875366,"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":0.9905999898910522,"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":0.9847000241279602,"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/chromatic-polynomial","display_name":"Chromatic polynomial","score":0.8142803311347961},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.7185554504394531},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7182083129882812},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6531985998153687},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5666101574897766},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5076013803482056},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4879007041454315},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46566084027290344}],"concepts":[{"id":"https://openalex.org/C126385604","wikidata":"https://www.wikidata.org/wiki/Q1087609","display_name":"Chromatic polynomial","level":3,"score":0.8142803311347961},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.7185554504394531},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7182083129882812},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6531985998153687},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5666101574897766},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5076013803482056},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4879007041454315},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46566084027290344},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548300000705","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548300000705","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","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":4,"referenced_works":["https://openalex.org/W1504925519","https://openalex.org/W1996654650","https://openalex.org/W4206186706","https://openalex.org/W4229896252"],"related_works":["https://openalex.org/W2034116955","https://openalex.org/W555136","https://openalex.org/W2008080870","https://openalex.org/W4300844738","https://openalex.org/W2950815869","https://openalex.org/W4288088916","https://openalex.org/W2080641715","https://openalex.org/W2253595186","https://openalex.org/W2982067480","https://openalex.org/W3022154260"],"abstract_inverted_index":{"Let":[0],"G":[1,16],"be":[2,11],"a":[3],"graph":[4],"and":[5,35],"P":[6,22,42],"(":[7,23,43],"G,":[8,24,44],"t":[9,25,45],")":[10,26,46],"the":[12,31],"chromatic":[13,60],"polynomial":[14],"of":[15],".":[17],"It":[18],"is":[19],"known":[20],"that":[21,41],"has":[27,47],"no":[28,48],"zeros":[29,49,63],"in":[30,50],"intervals":[32],"(\u2212\u221e,":[33],"0)":[34],"(0,":[36],"1).":[37],"We":[38],"shall":[39,56],"show":[40],"(1,":[51],"32/27].":[52],"In":[53],"addition,":[54],"we":[55],"construct":[57],"graphs":[58],"whose":[59],"polynomials":[61],"have":[62],"arbitrarily":[64],"close":[65],"to":[66],"32/27.":[67]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":7}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}