{"id":"https://openalex.org/W3036972148","doi":"https://doi.org/10.1007/s00224-020-09983-8","title":"Dichotomy for Holant\u2217 Problems on the Boolean Domain","display_name":"Dichotomy for Holant\u2217 Problems on the Boolean Domain","publication_year":2020,"publication_date":"2020-06-22","ids":{"openalex":"https://openalex.org/W3036972148","doi":"https://doi.org/10.1007/s00224-020-09983-8","mag":"3036972148"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-020-09983-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-020-09983-8","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","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":true,"raw_author_name":"Jin-Yi Cai","raw_affiliation_strings":["Computer Sciences Department, University of Wisconsin-Madison, Madison, WI, 53706, USA","Computer Sciences Department, University of Wisconsin-Madison, Madison, USA"],"affiliations":[{"raw_affiliation_string":"Computer Sciences Department, University of Wisconsin-Madison, Madison, WI, 53706, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Computer Sciences Department, University of Wisconsin-Madison, Madison, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025408809","display_name":"Pinyan Lu","orcid":"https://orcid.org/0009-0005-0569-4122"},"institutions":[{"id":"https://openalex.org/I181679659","display_name":"Shanghai University of Finance and Economics","ror":"https://ror.org/00wtvfq62","country_code":"CN","type":"education","lineage":["https://openalex.org/I181679659"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pinyan Lu","raw_affiliation_strings":["School of Information Management and Engineering, Shanghai University of Finance and Economics, Yangpu District, Shanghai, China","School of Information Management and Engineering, Shanghai University of Finance and Economics, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"School of Information Management and Engineering, Shanghai University of Finance and Economics, Yangpu District, Shanghai, China","institution_ids":["https://openalex.org/I181679659"]},{"raw_affiliation_string":"School of Information Management and Engineering, Shanghai University of Finance and Economics, Shanghai, China","institution_ids":["https://openalex.org/I181679659"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105505784","display_name":"Mingji Xia","orcid":"https://orcid.org/0000-0002-3868-9910"},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingji Xia","raw_affiliation_strings":["Stake Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Stake Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101599971"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4406,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.65512048,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"64","issue":"8","first_page":"1362","last_page":"1391"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9993000030517578,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9990000128746033,"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":0.7345412969589233},{"id":"https://openalex.org/keywords/counting-problem","display_name":"Counting problem","score":0.6317025423049927},{"id":"https://openalex.org/keywords/boolean-domain","display_name":"Boolean domain","score":0.5870345830917358},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5791714787483215},{"id":"https://openalex.org/keywords/homomorphism","display_name":"Homomorphism","score":0.5636845231056213},{"id":"https://openalex.org/keywords/constraint-satisfaction-problem","display_name":"Constraint satisfaction problem","score":0.5186373591423035},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.43328866362571716},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4272604286670685},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4192420244216919},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.2304592728614807},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15490034222602844},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.08239242434501648}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7345412969589233},{"id":"https://openalex.org/C16592021","wikidata":"https://www.wikidata.org/wiki/Q5177154","display_name":"Counting problem","level":2,"score":0.6317025423049927},{"id":"https://openalex.org/C4926405","wikidata":"https://www.wikidata.org/wiki/Q3269980","display_name":"Boolean domain","level":5,"score":0.5870345830917358},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5791714787483215},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.5636845231056213},{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.5186373591423035},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43328866362571716},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4272604286670685},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4192420244216919},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2304592728614807},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15490034222602844},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.08239242434501648},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.0},{"id":"https://openalex.org/C169171071","wikidata":"https://www.wikidata.org/wiki/Q5449241","display_name":"Filtered algebra","level":3,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00224-020-09983-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-020-09983-8","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7258434638","display_name":null,"funder_award_id":"61932002","funder_id":"https://openalex.org/F4320335575","funder_display_name":"Key Programme"},{"id":"https://openalex.org/G8416257786","display_name":null,"funder_award_id":"CCF-1714275","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G974371836","display_name":null,"funder_award_id":"61922052","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322847","display_name":"Youth Innovation Promotion Association of the Chinese Academy of Sciences","ror":"https://ror.org/031141b54"},{"id":"https://openalex.org/F4320335575","display_name":"Key Programme","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320335801","display_name":"Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W1490370380","https://openalex.org/W1530042113","https://openalex.org/W1571873445","https://openalex.org/W1607251184","https://openalex.org/W1653035750","https://openalex.org/W1824395173","https://openalex.org/W1964923287","https://openalex.org/W1968334723","https://openalex.org/W1980467407","https://openalex.org/W2004233416","https://openalex.org/W2007194013","https://openalex.org/W2009768419","https://openalex.org/W2012753562","https://openalex.org/W2015133130","https://openalex.org/W2024710200","https://openalex.org/W2032292489","https://openalex.org/W2033026830","https://openalex.org/W2052936500","https://openalex.org/W2058673868","https://openalex.org/W2065813152","https://openalex.org/W2068674173","https://openalex.org/W2074670256","https://openalex.org/W2076090007","https://openalex.org/W2077575555","https://openalex.org/W2078752178","https://openalex.org/W2081299583","https://openalex.org/W2091345559","https://openalex.org/W2091476331","https://openalex.org/W2092436554","https://openalex.org/W2096486078","https://openalex.org/W2097738137","https://openalex.org/W2118223706","https://openalex.org/W2134600856","https://openalex.org/W2141382791","https://openalex.org/W2145707075","https://openalex.org/W2154899352","https://openalex.org/W2161269121","https://openalex.org/W2166566648","https://openalex.org/W2227075066","https://openalex.org/W2245184113","https://openalex.org/W2293541501","https://openalex.org/W2294003223","https://openalex.org/W2398627875","https://openalex.org/W2548816436","https://openalex.org/W2570207426","https://openalex.org/W2582449852","https://openalex.org/W2592837804","https://openalex.org/W2913798276","https://openalex.org/W2949766321","https://openalex.org/W2950942956","https://openalex.org/W2963052590","https://openalex.org/W2971683118","https://openalex.org/W2979591888","https://openalex.org/W3105661437","https://openalex.org/W3124201190","https://openalex.org/W3139555203","https://openalex.org/W4213257303","https://openalex.org/W4239702435","https://openalex.org/W4250445692","https://openalex.org/W4299498244"],"related_works":["https://openalex.org/W2023722467","https://openalex.org/W4253538798","https://openalex.org/W2078752178","https://openalex.org/W2131358503","https://openalex.org/W2610219110","https://openalex.org/W2592203159","https://openalex.org/W1479905431","https://openalex.org/W2571134106","https://openalex.org/W2949582969","https://openalex.org/W4298847715"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-30T08:08:38.191290","created_date":"2025-10-10T00:00:00"}
