{"id":"https://openalex.org/W1565681414","doi":"https://doi.org/10.1007/bfb0049329","title":"Approximable minimization problems and optimal solutions on random inputs","display_name":"Approximable minimization problems and optimal solutions on random inputs","publication_year":2006,"publication_date":"2006-03-06","ids":{"openalex":"https://openalex.org/W1565681414","doi":"https://doi.org/10.1007/bfb0049329","mag":"1565681414"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0049329","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0049329","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":"book-chapter","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/A5109317643","display_name":"Erich Gr\u00e4del","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Erich Gr\u00e4del","raw_affiliation_strings":["Lehrgebiet Mathematische Grundlagen der Informatik, RWTH Aachen, Ahornstr.55, 52074, Aachen","RWTH Aachen >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Lehrgebiet Mathematische Grundlagen der Informatik, RWTH Aachen, Ahornstr.55, 52074, Aachen","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"RWTH Aachen >  >  >  >","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061264703","display_name":"Anders Malmstr\u00f6m","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Anders Malmstr\u00f6m","raw_affiliation_strings":["Lehrgebiet Mathematische Grundlagen der Informatik, RWTH Aachen, Ahornstr.55, 52074, Aachen","RWTH Aachen >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Lehrgebiet Mathematische Grundlagen der Informatik, RWTH Aachen, Ahornstr.55, 52074, Aachen","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"RWTH Aachen >  >  >  >","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109317643"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.12910373,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"139","last_page":"149"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/probabilistic-logic","display_name":"Probabilistic logic","score":0.6753293871879578},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.663343608379364},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6555214524269104},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6375569701194763},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5139498114585876},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4515100121498108},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38900694251060486},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3332465887069702},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3233010172843933},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24935513734817505},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08600395917892456},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07281702756881714}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6753293871879578},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.663343608379364},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6555214524269104},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6375569701194763},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5139498114585876},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4515100121498108},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38900694251060486},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3332465887069702},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3233010172843933},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24935513734817505},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08600395917892456},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07281702756881714},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/bfb0049329","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0049329","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.33.1157","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.33.1157","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-mgi.informatik.rwth-aachen.de/Publications/pub/anders/csl93.ps","raw_type":"text"},{"id":"pmh:oai:publications.rwth-aachen.de:92678","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/92678","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer science logic. Berlin [u.a.] 1994","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W76753297","https://openalex.org/W234224109","https://openalex.org/W1573674404","https://openalex.org/W2038225707","https://openalex.org/W2063406522","https://openalex.org/W2063981365","https://openalex.org/W2068871408","https://openalex.org/W2104881994","https://openalex.org/W2116940701","https://openalex.org/W2905110430","https://openalex.org/W3127113455"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2012531322","https://openalex.org/W2402761219","https://openalex.org/W2943623134","https://openalex.org/W2494523064","https://openalex.org/W2785900585","https://openalex.org/W2353730437","https://openalex.org/W2215759665","https://openalex.org/W2030292806","https://openalex.org/W2490303674"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
