{"id":"https://openalex.org/W199702541","doi":"https://doi.org/10.1007/978-3-319-03780-6_28","title":"Uniform-Circuit and Logarithmic-Space Approximations of Refined Combinatorial Optimization Problems","display_name":"Uniform-Circuit and Logarithmic-Space Approximations of Refined Combinatorial Optimization Problems","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W199702541","doi":"https://doi.org/10.1007/978-3-319-03780-6_28","mag":"199702541"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-03780-6_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-03780-6_28","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1601.01118","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085555714","display_name":"Tomoyuki Yamakami","orcid":"https://orcid.org/0009-0002-4842-4841"},"institutions":[{"id":"https://openalex.org/I111966504","display_name":"University of Fukui","ror":"https://ror.org/00msqp585","country_code":"JP","type":"education","lineage":["https://openalex.org/I111966504"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Tomoyuki Yamakami","raw_affiliation_strings":["Department of Information Science, University of Fukui, Fukui, Japan","Dept. of Inf. Sci., Univ. of Fukui, Fukui, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Science, University of Fukui, Fukui, Japan","institution_ids":["https://openalex.org/I111966504"]},{"raw_affiliation_string":"Dept. of Inf. Sci., Univ. of Fukui, Fukui, Japan","institution_ids":["https://openalex.org/I111966504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085555714"],"corresponding_institution_ids":["https://openalex.org/I111966504"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11324111,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"318","last_page":"329"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","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/T10142","display_name":"Formal Methods in Verification","score":0.998199999332428,"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":0.9977999925613403,"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/l-reduction","display_name":"L-reduction","score":0.702862560749054},{"id":"https://openalex.org/keywords/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.5664551258087158},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5380949378013611},{"id":"https://openalex.org/keywords/combinatorial-optimization","display_name":"Combinatorial optimization","score":0.5062907934188843},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.5055272579193115},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.48877212405204773},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4865209460258484},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.48429861664772034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47435295581817627},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4549514651298523},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4536608159542084},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45260751247406006},{"id":"https://openalex.org/keywords/complexity-class","display_name":"Complexity class","score":0.44461822509765625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44050803780555725},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4327775239944458},{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.416729211807251},{"id":"https://openalex.org/keywords/subset-sum-problem","display_name":"Subset sum problem","score":0.4138449430465698},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3145748972892761},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2536715567111969},{"id":"https://openalex.org/keywords/continuous-optimization","display_name":"Continuous optimization","score":0.22749364376068115},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.20479723811149597},{"id":"https://openalex.org/keywords/knapsack-problem","display_name":"Knapsack problem","score":0.14146071672439575}],"concepts":[{"id":"https://openalex.org/C62114133","wikidata":"https://www.wikidata.org/wiki/Q5366944","display_name":"L-reduction","level":5,"score":0.702862560749054},{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.5664551258087158},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5380949378013611},{"id":"https://openalex.org/C52692508","wikidata":"https://www.wikidata.org/wiki/Q1333872","display_name":"Combinatorial optimization","level":2,"score":0.5062907934188843},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.5055272579193115},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.48877212405204773},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4865209460258484},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.48429861664772034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47435295581817627},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4549514651298523},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4536608159542084},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45260751247406006},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.44461822509765625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44050803780555725},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4327775239944458},{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.416729211807251},{"id":"https://openalex.org/C109275537","wikidata":"https://www.wikidata.org/wiki/Q1154420","display_name":"Subset sum problem","level":3,"score":0.4138449430465698},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3145748972892761},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2536715567111969},{"id":"https://openalex.org/C92995354","wikidata":"https://www.wikidata.org/wiki/Q5165499","display_name":"Continuous optimization","level":4,"score":0.22749364376068115},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.20479723811149597},{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.14146071672439575},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-319-03780-6_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-03780-6_28","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:arXiv.org:1601.01118","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.01118","pdf_url":"https://arxiv.org/pdf/1601.01118","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:199702541","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1601.01118.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1601.01118","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1601.01118","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1601.01118","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.01118","pdf_url":"https://arxiv.org/pdf/1601.01118","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7300000190734863}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W199384355","https://openalex.org/W1575897077","https://openalex.org/W1590283810","https://openalex.org/W1593059705","https://openalex.org/W1971150371","https://openalex.org/W1971680255","https://openalex.org/W1975241280","https://openalex.org/W1980967952","https://openalex.org/W1983784492","https://openalex.org/W1984509356","https://openalex.org/W1986804393","https://openalex.org/W1989887898","https://openalex.org/W1990870868","https://openalex.org/W1992720234","https://openalex.org/W2002089154","https://openalex.org/W2002941015","https://openalex.org/W2012287357","https://openalex.org/W2012929520","https://openalex.org/W2017290750","https://openalex.org/W2024091095","https://openalex.org/W2027501230","https://openalex.org/W2031562141","https://openalex.org/W2038225707","https://openalex.org/W2038247515","https://openalex.org/W2043360684","https://openalex.org/W2045583484","https://openalex.org/W2045924252","https://openalex.org/W2049516232","https://openalex.org/W2059378738","https://openalex.org/W2060270693","https://openalex.org/W2071108434","https://openalex.org/W2072181151","https://openalex.org/W2088956149","https://openalex.org/W2105038944","https://openalex.org/W2137560895","https://openalex.org/W2154583761","https://openalex.org/W2159579504","https://openalex.org/W2175195593","https://openalex.org/W2952764679","https://openalex.org/W3178638928"],"related_works":["https://openalex.org/W2038225707","https://openalex.org/W2502378916","https://openalex.org/W2950292965","https://openalex.org/W1599500084","https://openalex.org/W2012929520","https://openalex.org/W2037028865","https://openalex.org/W2189595797","https://openalex.org/W100926944","https://openalex.org/W324124005","https://openalex.org/W1500586414","https://openalex.org/W1980563498","https://openalex.org/W2131810278","https://openalex.org/W1971077453","https://openalex.org/W2100961486","https://openalex.org/W963989381","https://openalex.org/W1504306194","https://openalex.org/W3088409280","https://openalex.org/W811821385","https://openalex.org/W2294003223","https://openalex.org/W2291046003"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
