{"id":"https://openalex.org/W1963927532","doi":"https://doi.org/10.1016/0890-5401(91)90072-a","title":"Lower bounds for depth-restricted branching programs","display_name":"Lower bounds for depth-restricted branching programs","publication_year":1991,"publication_date":"1991-03-01","ids":{"openalex":"https://openalex.org/W1963927532","doi":"https://doi.org/10.1016/0890-5401(91)90072-a","mag":"1963927532"},"language":"en","primary_location":{"id":"doi:10.1016/0890-5401(91)90072-a","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0890-5401(91)90072-a","pdf_url":"https://www.sciencedirect.com/science/article/pii/089054019190072A/pdf","source":{"id":"https://openalex.org/S59933527","display_name":"Information and Computation","issn_l":"0890-5401","issn":["0890-5401","1090-2651"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/089054019190072A/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088337575","display_name":"Matthias Krause","orcid":"https://orcid.org/0000-0002-3200-3199"},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Matthias Krause","raw_affiliation_strings":["Sektion Mathematik, Bereich Berechnungstheorie, Humboldt-Universit\u00e4t zu Berlin, 1086 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sektion Mathematik, Bereich Berechnungstheorie, Humboldt-Universit\u00e4t zu Berlin, 1086 Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5088337575"],"corresponding_institution_ids":["https://openalex.org/I39343248"],"apc_list":{"value":2840,"currency":"USD","value_usd":2840},"apc_paid":null,"fwci":1.4837,"has_fulltext":true,"cited_by_count":36,"citation_normalized_percentile":{"value":0.79355575,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"91","issue":"1","first_page":"1","last_page":"14"},"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":0.9990000128746033,"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/T12288","display_name":"Optimization and Search Problems","score":0.9984999895095825,"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/branching","display_name":"Branching (polymer chemistry)","score":0.6785495281219482},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4850234389305115},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.48256269097328186},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43484002351760864},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41944265365600586},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.326303094625473},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.16123342514038086},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08049196004867554}],"concepts":[{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.6785495281219482},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4850234389305115},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48256269097328186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43484002351760864},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41944265365600586},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.326303094625473},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.16123342514038086},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08049196004867554},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0890-5401(91)90072-a","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0890-5401(91)90072-a","pdf_url":"https://www.sciencedirect.com/science/article/pii/089054019190072A/pdf","source":{"id":"https://openalex.org/S59933527","display_name":"Information and Computation","issn_l":"0890-5401","issn":["0890-5401","1090-2651"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information and Computation","raw_type":"journal-article"},{"id":"pmh:oai:ub-madoc.bib.uni-mannheim.de:59795","is_oa":true,"landing_page_url":"https://madoc.bib.uni-mannheim.de/59795/","pdf_url":"https://madoc.bib.uni-mannheim.de/59795/","source":{"id":"https://openalex.org/S4377196315","display_name":"MADOC (University of Mannheim)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177802217","host_organization_name":"University of Mannheim","host_organization_lineage":["https://openalex.org/I177802217"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Zeitschriftenartikel"}],"best_oa_location":{"id":"doi:10.1016/0890-5401(91)90072-a","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0890-5401(91)90072-a","pdf_url":"https://www.sciencedirect.com/science/article/pii/089054019190072A/pdf","source":{"id":"https://openalex.org/S59933527","display_name":"Information and Computation","issn_l":"0890-5401","issn":["0890-5401","1090-2651"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information and Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7300000190734863,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1963927532.pdf","grobid_xml":"https://content.openalex.org/works/W1963927532.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W112636843","https://openalex.org/W183465075","https://openalex.org/W378983080","https://openalex.org/W1559384325","https://openalex.org/W2012476164","https://openalex.org/W2023412106","https://openalex.org/W2026399774","https://openalex.org/W2070913436","https://openalex.org/W2104952158","https://openalex.org/W6604503181","https://openalex.org/W6613003737","https://openalex.org/W6633488175","https://openalex.org/W6667985490","https://openalex.org/W6822557432"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}