{"id":"https://openalex.org/W1589335334","doi":"https://doi.org/10.1007/978-3-540-70918-3_41","title":"Arithmetizing Classes Around NC 1 and L","display_name":"Arithmetizing Classes Around NC 1 and L","publication_year":2007,"publication_date":"2007-05-23","ids":{"openalex":"https://openalex.org/W1589335334","doi":"https://doi.org/10.1007/978-3-540-70918-3_41","mag":"1589335334"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-70918-3_41","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-70918-3_41","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/A5083072245","display_name":"Nutan Limaye","orcid":"https://orcid.org/0000-0002-0238-1674"},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Nutan Limaye","raw_affiliation_strings":["The Institute of Mathematical Sciences, Chennai 600 113, India","The Institute of Mathematical Sciences,Chennai,India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences, Chennai 600 113, India","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences,Chennai,India","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020709378","display_name":"Meena Mahajan","orcid":"https://orcid.org/0000-0002-9116-4398"},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Meena Mahajan","raw_affiliation_strings":["The Institute of Mathematical Sciences, Chennai 600 113, India","The Institute of Mathematical Sciences,Chennai,India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences, Chennai 600 113, India","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences,Chennai,India","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110296299","display_name":"B. V. Raghavendra Rao","orcid":null},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"B. V. Raghavendra Rao","raw_affiliation_strings":["The Institute of Mathematical Sciences, Chennai 600 113, India","The Institute of Mathematical Sciences,Chennai,India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences, Chennai 600 113, India","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences,Chennai,India","institution_ids":["https://openalex.org/I59611059"]}]}],"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":2.384,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.88895619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"477","last_page":"488"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994999766349792,"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":0.9994999766349792,"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/T11567","display_name":"semigroups and automata theory","score":0.9994999766349792,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9990000128746033,"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/mathematics","display_name":"Mathematics","score":0.623915433883667},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5852773189544678},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.5400742888450623},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5205234289169312},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.48098552227020264},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4366218149662018},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.41750991344451904},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22227564454078674},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.04630434513092041}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.623915433883667},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5852773189544678},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.5400742888450623},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5205234289169312},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.48098552227020264},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4366218149662018},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.41750991344451904},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22227564454078674},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.04630434513092041},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-70918-3_41","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-70918-3_41","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W31912597","https://openalex.org/W41330591","https://openalex.org/W85324871","https://openalex.org/W136048902","https://openalex.org/W182003119","https://openalex.org/W297978594","https://openalex.org/W572171498","https://openalex.org/W1490189322","https://openalex.org/W1497949336","https://openalex.org/W1506378440","https://openalex.org/W1592302951","https://openalex.org/W1602383402","https://openalex.org/W1734289599","https://openalex.org/W1965022641","https://openalex.org/W1979328074","https://openalex.org/W1998855954","https://openalex.org/W2014509173","https://openalex.org/W2023552752","https://openalex.org/W2035470579","https://openalex.org/W2038247515","https://openalex.org/W2051700974","https://openalex.org/W2068638452","https://openalex.org/W2071260871","https://openalex.org/W2079275582","https://openalex.org/W2081926325","https://openalex.org/W2085012646","https://openalex.org/W2095458980","https://openalex.org/W2104952158","https://openalex.org/W2123466414","https://openalex.org/W2125463200","https://openalex.org/W2137370934","https://openalex.org/W2151033407","https://openalex.org/W2159556427","https://openalex.org/W2178086598","https://openalex.org/W2337498233","https://openalex.org/W2401138554","https://openalex.org/W2912540557","https://openalex.org/W3021915497","https://openalex.org/W6605462915"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2462424100","https://openalex.org/W2014836299","https://openalex.org/W315394019","https://openalex.org/W2034871982","https://openalex.org/W2148974013","https://openalex.org/W2130873474","https://openalex.org/W2923398117","https://openalex.org/W2034850439","https://openalex.org/W4309585848"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
