{"id":"https://openalex.org/W1595778895","doi":"https://doi.org/10.1007/978-3-540-70583-3_4","title":"Finite Automata, Digraph Connectivity, and Regular Expression Size","display_name":"Finite Automata, Digraph Connectivity, and Regular Expression Size","publication_year":2008,"publication_date":"2008-08-12","ids":{"openalex":"https://openalex.org/W1595778895","doi":"https://doi.org/10.1007/978-3-540-70583-3_4","mag":"1595778895"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-70583-3_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-70583-3_4","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/A5040523230","display_name":"Hermann Gruber","orcid":"https://orcid.org/0000-0002-1953-3697"},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hermann Gruber","raw_affiliation_strings":["Institut f\u00fcr Informatik, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Oettingenstra\u00dfe 67, D-80538, M\u00fcnchen, Germany","Institut f\u00fcr Informatik, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, M\u00fcnchen, Germany D-80538#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Oettingenstra\u00dfe 67, D-80538, M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I8204097"]},{"raw_affiliation_string":"Institut f\u00fcr Informatik, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, M\u00fcnchen, Germany D-80538#TAB#","institution_ids":["https://openalex.org/I8204097"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016664760","display_name":"Markus Holzer","orcid":"https://orcid.org/0000-0003-4224-4014"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Markus Holzer","raw_affiliation_strings":["Institut f\u00fcr Informatik, Technische Universit\u00e4t M\u00fcnchen, Boltzmannstra\u00dfe 3, D-85748, Garching bei M\u00fcnchen, Germany","Institut f\u00fcr Informatik, Technische Universit\u00e4t M\u00fcnchen, Garching bei M\u00fcnchen, Germany D-85748#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Technische Universit\u00e4t M\u00fcnchen, Boltzmannstra\u00dfe 3, D-85748, Garching bei M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Institut f\u00fcr Informatik, Technische Universit\u00e4t M\u00fcnchen, Garching bei M\u00fcnchen, Germany D-85748#TAB#","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":9.998,"has_fulltext":false,"cited_by_count":83,"citation_normalized_percentile":{"value":0.99112272,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"39","last_page":"50"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/T12029","display_name":"DNA and Biological Computing","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/digraph","display_name":"Digraph","score":0.7975752353668213},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.6642574667930603},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.6237632036209106},{"id":"https://openalex.org/keywords/nondeterministic-finite-automaton","display_name":"Nondeterministic finite automaton","score":0.613372266292572},{"id":"https://openalex.org/keywords/deterministic-finite-automaton","display_name":"Deterministic finite automaton","score":0.6110592484474182},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.6041656136512756},{"id":"https://openalex.org/keywords/deterministic-automaton","display_name":"Deterministic automaton","score":0.5971640348434448},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5971075892448425},{"id":"https://openalex.org/keywords/regular-expression","display_name":"Regular expression","score":0.5904362797737122},{"id":"https://openalex.org/keywords/star","display_name":"Star (game theory)","score":0.5857117176055908},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5486605167388916},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5447503328323364},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5151892900466919},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.450613409280777},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.4365399479866028},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.43557512760162354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36969324946403503},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.313728928565979},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2483029067516327},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.18740960955619812}],"concepts":[{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.7975752353668213},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.6642574667930603},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.6237632036209106},{"id":"https://openalex.org/C158008952","wikidata":"https://www.wikidata.org/wiki/Q617295","display_name":"Nondeterministic finite automaton","level":4,"score":0.613372266292572},{"id":"https://openalex.org/C104091681","wikidata":"https://www.wikidata.org/wiki/Q837528","display_name":"Deterministic finite automaton","level":3,"score":0.6110592484474182},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.6041656136512756},{"id":"https://openalex.org/C194525867","wikidata":"https://www.wikidata.org/wiki/Q5265707","display_name":"Deterministic automaton","level":3,"score":0.5971640348434448},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5971075892448425},{"id":"https://openalex.org/C121329065","wikidata":"https://www.wikidata.org/wiki/Q185612","display_name":"Regular expression","level":2,"score":0.5904362797737122},{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.5857117176055908},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5486605167388916},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5447503328323364},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5151892900466919},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.450613409280777},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.4365399479866028},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.43557512760162354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36969324946403503},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.313728928565979},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2483029067516327},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.18740960955619812},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-540-70583-3_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-70583-3_4","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:10.1.1.112.4872","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.112.4872","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.in.tum.de/forschung/pub/reports/2007/TUM-I0725.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.126.7593","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.126.7593","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.in.tum.de/forschung/pub/reports/2007/TUM-I0725.pdf.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","score":0.7400000095367432,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W81175699","https://openalex.org/W179577048","https://openalex.org/W421997344","https://openalex.org/W1487444734","https://openalex.org/W1539025858","https://openalex.org/W1567990440","https://openalex.org/W1570445666","https://openalex.org/W1574427057","https://openalex.org/W1586668623","https://openalex.org/W1589421353","https://openalex.org/W1606555018","https://openalex.org/W1608753191","https://openalex.org/W1834767237","https://openalex.org/W1885568428","https://openalex.org/W1969661153","https://openalex.org/W1983100634","https://openalex.org/W1986058515","https://openalex.org/W1992703478","https://openalex.org/W2002089154","https://openalex.org/W2029448190","https://openalex.org/W2052210031","https://openalex.org/W2054167510","https://openalex.org/W2061488881","https://openalex.org/W2066064214","https://openalex.org/W2082135413","https://openalex.org/W2095067686","https://openalex.org/W2112175063","https://openalex.org/W2151259840","https://openalex.org/W2163940503","https://openalex.org/W2462139357","https://openalex.org/W2565699923","https://openalex.org/W2615884268","https://openalex.org/W2808195962","https://openalex.org/W2912608078","https://openalex.org/W4240256729","https://openalex.org/W4245920554","https://openalex.org/W4285719527","https://openalex.org/W4302339081"],"related_works":["https://openalex.org/W3143588635","https://openalex.org/W2810776027","https://openalex.org/W4249650827","https://openalex.org/W2003664089","https://openalex.org/W2090734721","https://openalex.org/W2113425091","https://openalex.org/W1677349152","https://openalex.org/W1560450186","https://openalex.org/W2083002627","https://openalex.org/W2186499132"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":8}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
