{"id":"https://openalex.org/W41616423","doi":"https://doi.org/10.1016/0304-3975(94)00240-j","title":"On the topological size of p-m-complete degrees","display_name":"On the topological size of p-m-complete degrees","publication_year":1995,"publication_date":"1995-08-01","ids":{"openalex":"https://openalex.org/W41616423","doi":"https://doi.org/10.1016/0304-3975(94)00240-j","mag":"41616423"},"language":"en","primary_location":{"id":"doi:10.1016/0304-3975(94)00240-j","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0304-3975(94)00240-j","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/0304-3975(94)00240-j","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046763801","display_name":"Marius Zimand","orcid":"https://orcid.org/0000-0002-5938-6599"},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Marius Zimand","raw_affiliation_strings":["Computer Science Department, University of Rochester, Computer Studies Building #620, Rochester, NY 14627-0226, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, University of Rochester, Computer Studies Building #620, Rochester, NY 14627-0226, USA","institution_ids":["https://openalex.org/I5388228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5046763801"],"corresponding_institution_ids":["https://openalex.org/I5388228"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":{"value":2690,"currency":"USD","value_usd":2690},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00378604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"147","issue":"1-2","first_page":"137","last_page":"147"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9961000084877014,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9961000084877014,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9866999983787537,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.98580002784729,"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/mathematics","display_name":"Mathematics","score":0.7136600613594055},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5589898228645325},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5333473682403564},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46982574462890625},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.45411351323127747},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4429304003715515},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08741778135299683}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7136600613594055},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5589898228645325},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5333473682403564},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46982574462890625},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.45411351323127747},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4429304003715515},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08741778135299683}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1016/0304-3975(94)00240-j","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0304-3975(94)00240-j","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.41.1001","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.41.1001","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://136.160.177.125/pub/topdeg.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.48.2973","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.2973","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.cs.rochester.edu/pub/papers/theory/95.tr459rev.Topological_size_of_p-m-complete_degrees.ps.gz","raw_type":"text"},{"id":"pmh:oai:urresearch.rochester.edu:484","is_oa":false,"landing_page_url":"http://hdl.handle.net/1802/633","pdf_url":null,"source":{"id":"https://openalex.org/S4306400518","display_name":"UR Research (University of Rochester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5388228","host_organization_name":"University of Rochester","host_organization_lineage":["https://openalex.org/I5388228"],"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":"Technical Report"},{"id":"mag:41616423","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/cuza/cuza3.html#Zimand94","pdf_url":null,"source":{"id":"https://openalex.org/S34051739","display_name":"Scientific Annals of Cuza University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Scientific Annals of Cuza University","raw_type":null}],"best_oa_location":{"id":"doi:10.1016/0304-3975(94)00240-j","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0304-3975(94)00240-j","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1969182601","https://openalex.org/W1972556723","https://openalex.org/W2008585307","https://openalex.org/W2023859612","https://openalex.org/W2077218542","https://openalex.org/W2174367614","https://openalex.org/W6605942349","https://openalex.org/W6671820485","https://openalex.org/W6673084214","https://openalex.org/W6678257095","https://openalex.org/W6679563633","https://openalex.org/W6682644489"],"related_works":["https://openalex.org/W2049599272","https://openalex.org/W2614096470","https://openalex.org/W2152717572","https://openalex.org/W1536458276","https://openalex.org/W1501218275","https://openalex.org/W3022096449","https://openalex.org/W2008999657","https://openalex.org/W2051433988","https://openalex.org/W1994544071","https://openalex.org/W1496899201","https://openalex.org/W1596179851","https://openalex.org/W2108244265","https://openalex.org/W1505961517","https://openalex.org/W2573314985","https://openalex.org/W1592037696","https://openalex.org/W2951829047","https://openalex.org/W3046730366","https://openalex.org/W1584031567","https://openalex.org/W2008831805","https://openalex.org/W1964985604"],"abstract_inverted_index":{"All":[0],"polynomial":[1],"many-one":[2],"degrees":[3],"are":[4,19],"shown":[5],"to":[6,21],"be":[7],"of":[8,31,38,50],"second":[9],"Baire":[10],"category":[11],"in":[12,23],"the":[13,35,48,51],"superset":[14],"topology":[15],"when":[16],"witness":[17],"functions":[18],"allowed":[20],"run":[22],"2loghn":[24],"time,":[25],"for":[26,34],"any":[27],"h.":[28],"Any":[29],"improvement":[30],"this":[32],"result":[33],"complete":[36],"p-m-degrees":[37],"RE,":[39],"EXP":[40],"or":[41,47],"NP":[42,46],"implies":[43],"P":[44],"\u2260":[45],"nonisomorphism":[49],"NP-complete":[52],"sets.":[53]},"counts_by_year":[],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
