{"id":"https://openalex.org/W1488569744","doi":"https://doi.org/10.1007/978-3-540-45138-9_23","title":"Lower Bounds for General Graph\u2013Driven Read\u2013Once Parity Branching Programs","display_name":"Lower Bounds for General Graph\u2013Driven Read\u2013Once Parity Branching Programs","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1488569744","doi":"https://doi.org/10.1007/978-3-540-45138-9_23","mag":"1488569744"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-45138-9_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45138-9_23","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/A5009012560","display_name":"Henrik Brosenne","orcid":null},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Henrik Brosenne","raw_affiliation_strings":["Institut f\u00fcr Numerische und Angewandte Mathematik, Georg\u2013August\u2013Universit\u00e4t G\u00f6ttingen, Lotzestr. 16\u201318, 37083, G\u00f6ttingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Numerische und Angewandte Mathematik, Georg\u2013August\u2013Universit\u00e4t G\u00f6ttingen, Lotzestr. 16\u201318, 37083, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074404902","display_name":"Matthias Homeister","orcid":null},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Matthias Homeister","raw_affiliation_strings":["Institut f\u00fcr Numerische und Angewandte Mathematik, Georg\u2013August\u2013Universit\u00e4t G\u00f6ttingen, Lotzestr. 16\u201318, 37083, G\u00f6ttingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Numerische und Angewandte Mathematik, Georg\u2013August\u2013Universit\u00e4t G\u00f6ttingen, Lotzestr. 16\u201318, 37083, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113553795","display_name":"Stephan Waack","orcid":null},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stephan Waack","raw_affiliation_strings":["Institut f\u00fcr Numerische und Angewandte Mathematik, Georg\u2013August\u2013Universit\u00e4t G\u00f6ttingen, Lotzestr. 16\u201318, 37083, G\u00f6ttingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Numerische und Angewandte Mathematik, Georg\u2013August\u2013Universit\u00e4t G\u00f6ttingen, Lotzestr. 16\u201318, 37083, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":6.1564,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.97093333,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"290","last_page":"299"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9937000274658203,"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":0.6071318984031677},{"id":"https://openalex.org/keywords/parity","display_name":"Parity (physics)","score":0.5997994542121887},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5110534429550171},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.49708178639411926},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49103236198425293},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4878220856189728},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.48219671845436096},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.4646531939506531},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4119272828102112},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32092565298080444},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2350883185863495},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11100175976753235},{"id":"https://openalex.org/keywords/particle-physics","display_name":"Particle physics","score":0.06236320734024048}],"concepts":[{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.6071318984031677},{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.5997994542121887},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5110534429550171},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.49708178639411926},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49103236198425293},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4878220856189728},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48219671845436096},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.4646531939506531},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4119272828102112},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32092565298080444},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2350883185863495},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11100175976753235},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.06236320734024048},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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":1,"locations":[{"id":"doi:10.1007/978-3-540-45138-9_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45138-9_23","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W143396352","https://openalex.org/W183465075","https://openalex.org/W587269134","https://openalex.org/W1488809080","https://openalex.org/W1524807471","https://openalex.org/W1566279036","https://openalex.org/W1567127962","https://openalex.org/W1586349428","https://openalex.org/W1587658859","https://openalex.org/W1590687550","https://openalex.org/W1593463844","https://openalex.org/W1606480398","https://openalex.org/W1807276935","https://openalex.org/W1882041575","https://openalex.org/W1968923513","https://openalex.org/W1998989512","https://openalex.org/W2034173079","https://openalex.org/W2038757167","https://openalex.org/W2054195481","https://openalex.org/W2080060305","https://openalex.org/W2080267935","https://openalex.org/W2108016168","https://openalex.org/W2112525359","https://openalex.org/W2146207150","https://openalex.org/W2156336752","https://openalex.org/W2491391701","https://openalex.org/W2561675875","https://openalex.org/W4231079853"],"related_works":["https://openalex.org/W2462424100","https://openalex.org/W2148974013","https://openalex.org/W2130873474","https://openalex.org/W2034871982","https://openalex.org/W1983409968","https://openalex.org/W2034850439","https://openalex.org/W2162624093","https://openalex.org/W1974919125","https://openalex.org/W2022364537","https://openalex.org/W2141653867"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}