{"id":"https://openalex.org/W24716939","doi":"https://doi.org/10.1007/978-3-642-22685-4_3","title":"The Density Maximization Problem in Graphs","display_name":"The Density Maximization Problem in Graphs","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W24716939","doi":"https://doi.org/10.1007/978-3-642-22685-4_3","mag":"24716939"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-22685-4_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-22685-4_3","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/A5044333798","display_name":"Mong-Jen Kao","orcid":"https://orcid.org/0000-0002-7238-3093"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Mong-Jen Kao","raw_affiliation_strings":["Dep. of Computer Science and Information Engineering, National Taiwan University, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dep. of Computer Science and Information Engineering, National Taiwan University, Taiwan","institution_ids":["https://openalex.org/I16733864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011616005","display_name":"Bastian Katz","orcid":"https://orcid.org/0000-0003-0846-9615"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bastian Katz","raw_affiliation_strings":["Faculty of Informatics, Karlsruhe Institute of Technology (KIT), Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Informatics, Karlsruhe Institute of Technology (KIT), Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109203847","display_name":"Marcus Krug","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marcus Krug","raw_affiliation_strings":["Faculty of Informatics, Karlsruhe Institute of Technology (KIT), Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Informatics, Karlsruhe Institute of Technology (KIT), Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003996134","display_name":"D. T. Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"D. T. Lee","raw_affiliation_strings":["Dep. of Computer Science and Information Engineering, National Taiwan University, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dep. of Computer Science and Information Engineering, National Taiwan University, Taiwan","institution_ids":["https://openalex.org/I16733864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036986694","display_name":"Ignaz Rutter","orcid":"https://orcid.org/0000-0002-3794-4406"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ignaz Rutter","raw_affiliation_strings":["Faculty of Informatics, Karlsruhe Institute of Technology (KIT), Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Informatics, Karlsruhe Institute of Technology (KIT), Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045460793","display_name":"Dorothea Wagner","orcid":"https://orcid.org/0000-0002-9141-7076"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dorothea Wagner","raw_affiliation_strings":["Faculty of Informatics, Karlsruhe Institute of Technology (KIT), Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Informatics, Karlsruhe Institute of Technology (KIT), Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2873,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.41959211,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"25","last_page":"36"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9993000030517578,"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":0.9993000030517578,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9962999820709229,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/combinatorics","display_name":"Combinatorics","score":0.7414058446884155},{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.733748733997345},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.6096451282501221},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5689194202423096},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5123959183692932},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44225066900253296},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3967609405517578},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.22821226716041565},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.13570451736450195},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.07820311188697815}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7414058446884155},{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.733748733997345},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.6096451282501221},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5689194202423096},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5123959183692932},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44225066900253296},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3967609405517578},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.22821226716041565},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.13570451736450195},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.07820311188697815},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-22685-4_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-22685-4_3","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1855819901","https://openalex.org/W1973155071","https://openalex.org/W1977778407","https://openalex.org/W1990023680","https://openalex.org/W1996058612","https://openalex.org/W2024291212","https://openalex.org/W2034112563","https://openalex.org/W2041677039","https://openalex.org/W2046244578","https://openalex.org/W2059509874","https://openalex.org/W2070523096","https://openalex.org/W2086065942","https://openalex.org/W2092904196","https://openalex.org/W2114510609","https://openalex.org/W2115407612","https://openalex.org/W2132445073","https://openalex.org/W2138622863","https://openalex.org/W3099635146"],"related_works":["https://openalex.org/W1810116456","https://openalex.org/W4300619607","https://openalex.org/W2964174631","https://openalex.org/W1579590954","https://openalex.org/W2223243427","https://openalex.org/W4306887989","https://openalex.org/W2951811902","https://openalex.org/W186753374","https://openalex.org/W2949940357","https://openalex.org/W4302375582"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
