{"id":"https://openalex.org/W2220915800","doi":"https://doi.org/10.1007/978-3-642-25870-1_17","title":"Empires Make Cartography Hard: The Complexity of the Empire Colouring Problem","display_name":"Empires Make Cartography Hard: The Complexity of the Empire Colouring Problem","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2220915800","doi":"https://doi.org/10.1007/978-3-642-25870-1_17","mag":"2220915800"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-25870-1_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-25870-1_17","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5028143491","display_name":"Andrew R. A. McGrae","orcid":null},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrew R. A. McGrae","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, Liverpool, L69 3BX, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, Liverpool, L69 3BX, UK","institution_ids":["https://openalex.org/I146655781"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013505086","display_name":"Michele Zito","orcid":null},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Michele Zito","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, Liverpool, L69 3BX, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, Liverpool, L69 3BX, UK","institution_ids":["https://openalex.org/I146655781"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I146655781"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.4364,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.81424511,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"179","last_page":"190"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9958999752998352,"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":0.9958999752998352,"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":0.9857000112533569,"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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9376999735832214,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.7723333835601807},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.6786028146743774},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.6086717247962952},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5381779074668884},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.505427360534668},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4878139793872833},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4485970735549927},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4476550817489624},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.41248902678489685},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36845964193344116},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2869076132774353},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17889076471328735},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06180575489997864}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7723333835601807},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.6786028146743774},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.6086717247962952},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5381779074668884},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.505427360534668},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4878139793872833},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4485970735549927},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4476550817489624},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.41248902678489685},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36845964193344116},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2869076132774353},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17889076471328735},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06180575489997864},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-25870-1_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-25870-1_17","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W13416703","https://openalex.org/W30504777","https://openalex.org/W1507039213","https://openalex.org/W1555847198","https://openalex.org/W1558737914","https://openalex.org/W1574303240","https://openalex.org/W1580109895","https://openalex.org/W1985000598","https://openalex.org/W2011039300","https://openalex.org/W2021304992","https://openalex.org/W2066356146","https://openalex.org/W2085716675","https://openalex.org/W2114475148","https://openalex.org/W2322503310","https://openalex.org/W2401610261","https://openalex.org/W2479149412","https://openalex.org/W2496833595","https://openalex.org/W2798588639","https://openalex.org/W3031554197","https://openalex.org/W3039948875","https://openalex.org/W3043060850","https://openalex.org/W3145128584","https://openalex.org/W4241950961","https://openalex.org/W4244198016","https://openalex.org/W4256453260","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2611163850","https://openalex.org/W83388600","https://openalex.org/W3015250136","https://openalex.org/W1845849701","https://openalex.org/W2044218713","https://openalex.org/W1701875187","https://openalex.org/W2990956612","https://openalex.org/W3084676277","https://openalex.org/W1589381382","https://openalex.org/W961142965"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}