{"id":"https://openalex.org/W2112310806","doi":"https://doi.org/10.1007/s00224-016-9671-7","title":"Holant Problems for 3-Regular Graphs with Complex Edge Functions","display_name":"Holant Problems for 3-Regular Graphs with Complex Edge Functions","publication_year":2016,"publication_date":"2016-03-23","ids":{"openalex":"https://openalex.org/W2112310806","doi":"https://doi.org/10.1007/s00224-016-9671-7","mag":"2112310806"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-016-9671-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-016-9671-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00455751","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019882889","display_name":"Michael Kowalczyk","orcid":null},"institutions":[{"id":"https://openalex.org/I177331275","display_name":"Northern Michigan University","ror":"https://ror.org/01epvyf46","country_code":"US","type":"education","lineage":["https://openalex.org/I177331275"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael Kowalczyk","raw_affiliation_strings":["Mathematics and Computer Science Department, Northern Michigan University, Marquette, MI, 49855, USA","Mathematics and Computer Science Department, Northern Michigan University, Marquette, USA 49855#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematics and Computer Science Department, Northern Michigan University, Marquette, MI, 49855, USA","institution_ids":["https://openalex.org/I177331275"]},{"raw_affiliation_string":"Mathematics and Computer Science Department, Northern Michigan University, Marquette, USA 49855#TAB#","institution_ids":["https://openalex.org/I177331275"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101599971","display_name":"Jin\u2010Yi Cai","orcid":"https://orcid.org/0009-0003-0675-6060"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jin-Yi Cai","raw_affiliation_strings":["Computer Sciences Department, University of Wisconsin, Madison, WI, 53706, USA","Computer Sciences Department, University of Wisconsin, Madison, USA 53706"],"affiliations":[{"raw_affiliation_string":"Computer Sciences Department, University of Wisconsin, Madison, WI, 53706, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Computer Sciences Department, University of Wisconsin, Madison, USA 53706","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019882889"],"corresponding_institution_ids":["https://openalex.org/I177331275"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3637,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.6513973,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"59","issue":"1","first_page":"133","last_page":"158"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9997000098228455,"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/T11476","display_name":"Graph theory and applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/symmetrization","display_name":"Symmetrization","score":0.7205821871757507},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6650784015655518},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5729026794433594},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4879981577396393},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.4877043664455414},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.485429584980011},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.46916016936302185},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46447741985321045},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.43500617146492004},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3765893280506134},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19310951232910156},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18225321173667908}],"concepts":[{"id":"https://openalex.org/C64999384","wikidata":"https://www.wikidata.org/wiki/Q3507967","display_name":"Symmetrization","level":2,"score":0.7205821871757507},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6650784015655518},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5729026794433594},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4879981577396393},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4877043664455414},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.485429584980011},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.46916016936302185},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46447741985321045},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.43500617146492004},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3765893280506134},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19310951232910156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18225321173667908},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s00224-016-9671-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-016-9671-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.169.1547","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.169.1547","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cs.wisc.edu/%7Ejyc/papers/regular-3-STACS.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.393.5755","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.393.5755","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.archives-ouvertes.fr/docs/00/45/57/51/PDF/Kowalczyk.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.394.4176","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.394.4176","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://drops.dagstuhl.de/opus/volltexte/2010/2482/pdf/1001.KowalczykMichael.2482.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.753.3375","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.753.3375","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1001.0464.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00455751v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00455751","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"27th International Symposium on Theoretical Aspects of Computer Science - STACS 2010, Inria Nancy Grand Est & Loria, Mar 2010, Nancy, France. pp.525-536","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00455751v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00455751","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"27th International Symposium on Theoretical Aspects of Computer Science - STACS 2010, Inria Nancy Grand Est & Loria, Mar 2010, Nancy, France. pp.525-536","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6591889743","display_name":null,"funder_award_id":"CCF-0914969","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8924900563","display_name":null,"funder_award_id":"CCF-1217549","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1550331971","https://openalex.org/W1553142094","https://openalex.org/W1559830925","https://openalex.org/W2003244973","https://openalex.org/W2006912660","https://openalex.org/W2012041962","https://openalex.org/W2031917338","https://openalex.org/W2032292489","https://openalex.org/W2040145343","https://openalex.org/W2045281597","https://openalex.org/W2056017121","https://openalex.org/W2064541898","https://openalex.org/W2067653823","https://openalex.org/W2076090007","https://openalex.org/W2077575555","https://openalex.org/W2092436554","https://openalex.org/W2096891389","https://openalex.org/W2099255094","https://openalex.org/W2115826669","https://openalex.org/W2118223706","https://openalex.org/W2145707075","https://openalex.org/W2154899352","https://openalex.org/W2294003223","https://openalex.org/W2568097732","https://openalex.org/W2570207426","https://openalex.org/W2913798276","https://openalex.org/W4298290503","https://openalex.org/W4301168154"],"related_works":["https://openalex.org/W2130055506","https://openalex.org/W1978042415","https://openalex.org/W2005648998","https://openalex.org/W2011818088","https://openalex.org/W3083820578","https://openalex.org/W2049851965","https://openalex.org/W3122344457","https://openalex.org/W2044927803","https://openalex.org/W1982496263","https://openalex.org/W1984983874"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}