{"id":"https://openalex.org/W1660495057","doi":"https://doi.org/10.1007/s00453-012-9626-6","title":"From Holant to #CSP and Back: Dichotomy for Holant c Problems","display_name":"From Holant to #CSP and Back: Dichotomy for Holant c Problems","publication_year":2012,"publication_date":"2012-02-29","ids":{"openalex":"https://openalex.org/W1660495057","doi":"https://doi.org/10.1007/s00453-012-9626-6","mag":"1660495057"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-012-9626-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-012-9626-6","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","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":["University of Wisconsin-Madison, 1210 West Dayton Street, Madison, WI, 53706, USA","University of Wisconsin --- Madison, Madison, USA 53706#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison, 1210 West Dayton Street, Madison, WI, 53706, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"University of Wisconsin --- Madison, Madison, USA 53706#TAB#","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047872044","display_name":"Sangxia Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Sangxia Huang","raw_affiliation_strings":["KTH Royal Institute of Technology, 10044, Stockholm, Sweden","KTH Royal Institute of Technology,Stockholm,Sweden,10044"],"affiliations":[{"raw_affiliation_string":"KTH Royal Institute of Technology, 10044, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"KTH Royal Institute of Technology,Stockholm,Sweden,10044","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025408809","display_name":"Pinyan Lu","orcid":"https://orcid.org/0009-0005-0569-4122"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]},{"id":"https://openalex.org/I4210113369","display_name":"Microsoft Research Asia (China)","ror":"https://ror.org/0300m5276","country_code":"CN","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210113369"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Pinyan Lu","raw_affiliation_strings":["Microsoft Research Asia, Microsoft Shanghai Technology Park, No 999, Zixing Road, Minhang District Shanghai, 200241, China","Microsoft Research Asia, Minhang District Shanghai, China 200241#TAB#"],"affiliations":[{"raw_affiliation_string":"Microsoft Research Asia, Microsoft Shanghai Technology Park, No 999, Zixing Road, Minhang District Shanghai, 200241, China","institution_ids":["https://openalex.org/I4210113369"]},{"raw_affiliation_string":"Microsoft Research Asia, Minhang District Shanghai, China 200241#TAB#","institution_ids":["https://openalex.org/I1290206253"]}]}],"institutions":[],"countries_distinct_count":3,"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":3.1174,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.90857657,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"64","issue":"3","first_page":"511","last_page":"533"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9994999766349792,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/unary-operation","display_name":"Unary operation","score":0.8368650674819946},{"id":"https://openalex.org/keywords/counting-problem","display_name":"Counting problem","score":0.7853220701217651},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7692230939865112},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5691221952438354},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49991559982299805},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4838372766971588},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.461945116519928},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4577989876270294},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.45679759979248047},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4231525659561157},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4135354459285736},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16189301013946533},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11526665091514587}],"concepts":[{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.8368650674819946},{"id":"https://openalex.org/C16592021","wikidata":"https://www.wikidata.org/wiki/Q5177154","display_name":"Counting problem","level":2,"score":0.7853220701217651},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7692230939865112},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5691221952438354},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49991559982299805},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4838372766971588},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.461945116519928},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4577989876270294},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.45679759979248047},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4231525659561157},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4135354459285736},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16189301013946533},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11526665091514587},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/s00453-012-9626-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-012-9626-6","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1516464757","https://openalex.org/W1559445597","https://openalex.org/W1559830925","https://openalex.org/W1571873445","https://openalex.org/W1604555488","https://openalex.org/W1997649256","https://openalex.org/W2005716876","https://openalex.org/W2012041962","https://openalex.org/W2012753562","https://openalex.org/W2044105411","https://openalex.org/W2045281597","https://openalex.org/W2056017121","https://openalex.org/W2065813152","https://openalex.org/W2076090007","https://openalex.org/W2077575555","https://openalex.org/W2078752178","https://openalex.org/W2092436554","https://openalex.org/W2096486078","https://openalex.org/W2096891389","https://openalex.org/W2097738137","https://openalex.org/W2099255094","https://openalex.org/W2110851024","https://openalex.org/W2112310806","https://openalex.org/W2115826669","https://openalex.org/W2118223706","https://openalex.org/W2124708311","https://openalex.org/W2131358503","https://openalex.org/W2141321698","https://openalex.org/W2141382791","https://openalex.org/W2145707075","https://openalex.org/W2150339067","https://openalex.org/W2154899352","https://openalex.org/W2293541501","https://openalex.org/W2294003223","https://openalex.org/W2568097732","https://openalex.org/W2570207426","https://openalex.org/W2912606590","https://openalex.org/W2913798276","https://openalex.org/W3124201190","https://openalex.org/W4240841316","https://openalex.org/W4251672886"],"related_works":["https://openalex.org/W2888918612","https://openalex.org/W2166285859","https://openalex.org/W3148597776","https://openalex.org/W2060412688","https://openalex.org/W1538206641","https://openalex.org/W3211656382","https://openalex.org/W2025370853","https://openalex.org/W4235940179","https://openalex.org/W2001283893","https://openalex.org/W2003722559"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
