{"id":"https://openalex.org/W2089220531","doi":"https://doi.org/10.1002/malq.200910001","title":"Degree spectra and immunity properties","display_name":"Degree spectra and immunity properties","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2089220531","doi":"https://doi.org/10.1002/malq.200910001","mag":"2089220531"},"language":"en","primary_location":{"id":"doi:10.1002/malq.200910001","is_oa":true,"landing_page_url":"https://doi.org/10.1002/malq.200910001","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/malq.200910001","source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/malq.200910001","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061005365","display_name":"Barbara F. Csima","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Barbara F. Csima","raw_affiliation_strings":["(University of Waterloo)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"(University of Waterloo)","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052577470","display_name":"I. Sh. Kalimullin","orcid":"https://orcid.org/0000-0002-5931-3453"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Iskander S. Kalimullin","raw_affiliation_strings":["Department of Pure Mathematics, University ofWaterloo, Waterloo, ON, Canada N2L 3G1"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, University ofWaterloo, Waterloo, ON, Canada N2L 3G1","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":2.0294,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.86823735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"56","issue":"1","first_page":"67","last_page":"77"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","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/T12002","display_name":"Computability, Logic, AI Algorithms","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/T12923","display_name":"Digital Image Processing Techniques","score":0.9602000117301941,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9284999966621399,"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/degree","display_name":"Degree (music)","score":0.8621509075164795},{"id":"https://openalex.org/keywords/uncountable-set","display_name":"Uncountable set","score":0.794835090637207},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7875425815582275},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.7561200261116028},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.652838408946991},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5030342936515808},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.4660640358924866},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34542736411094666},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09535759687423706},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.078514963388443}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.8621509075164795},{"id":"https://openalex.org/C142399903","wikidata":"https://www.wikidata.org/wiki/Q1128796","display_name":"Uncountable set","level":3,"score":0.794835090637207},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7875425815582275},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.7561200261116028},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.652838408946991},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5030342936515808},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.4660640358924866},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34542736411094666},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09535759687423706},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.078514963388443},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/malq.200910001","is_oa":true,"landing_page_url":"https://doi.org/10.1002/malq.200910001","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/malq.200910001","source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.153.8494","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.153.8494","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uwaterloo.ca/~csima/papers/immunefinal10.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1002/malq.200910001","is_oa":true,"landing_page_url":"https://doi.org/10.1002/malq.200910001","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/malq.200910001","source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2089220531.pdf"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W226848649","https://openalex.org/W1554860413","https://openalex.org/W1571286435","https://openalex.org/W1602107066","https://openalex.org/W1602220947","https://openalex.org/W1684033657","https://openalex.org/W1970404779","https://openalex.org/W1985060429","https://openalex.org/W2012759418","https://openalex.org/W2056414301","https://openalex.org/W2073189693","https://openalex.org/W2109529784","https://openalex.org/W2127206362","https://openalex.org/W2132011439","https://openalex.org/W2138444116","https://openalex.org/W2146750910","https://openalex.org/W2151074415","https://openalex.org/W2168616714","https://openalex.org/W2616606085","https://openalex.org/W4232277851","https://openalex.org/W4246804796"],"related_works":["https://openalex.org/W2376029318","https://openalex.org/W2100222222","https://openalex.org/W1982069151","https://openalex.org/W2388301251","https://openalex.org/W2256572025","https://openalex.org/W4303646992","https://openalex.org/W2952146172","https://openalex.org/W4300882518","https://openalex.org/W2042283439","https://openalex.org/W1996037685"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"analyze":[2],"the":[3,31,39,48,51],"degree":[4,27,52],"spectra":[5],"of":[6,12,23,41,46,50],"structures":[7],"in":[8],"which":[9,47],"different":[10],"types":[11],"immunity":[13],"conditions":[14],"are":[15],"encoded.":[16],"In":[17],"particular,":[18],"we":[19],"give":[20],"an":[21,42],"example":[22],"a":[24,35],"structure":[25,45],"whose":[26],"spectrum":[28,53],"coincides":[29],"with":[30],"hyperimmune":[32],"degrees.":[33],"As":[34],"corollary,":[36],"this":[37],"shows":[38],"existence":[40],"almost":[43],"computable":[44],"complement":[49],"is":[54],"uncountable":[55],"(\u00a9":[56],"2010":[57],"WILEY\u2010VCH":[58],"Verlag":[59],"GmbH":[60],"&amp;":[61],"Co.":[62],"KGaA,":[63],"Weinheim)":[64]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2025-10-10T00:00:00"}
