{"id":"https://openalex.org/W2244287056","doi":"https://doi.org/10.1007/s00037-015-0118-3","title":"A Dichotomy for Real Weighted Holant Problems","display_name":"A Dichotomy for Real Weighted Holant Problems","publication_year":2015,"publication_date":"2015-11-17","ids":{"openalex":"https://openalex.org/W2244287056","doi":"https://doi.org/10.1007/s00037-015-0118-3","mag":"2244287056"},"language":"en","primary_location":{"id":"doi:10.1007/s00037-015-0118-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-015-0118-3","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/217683","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047872044","display_name":"Sangxia Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Sangxia Huang","raw_affiliation_strings":["\u00c9cole polytechnique f\u00e9d\u00e9rale, de Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"\u00c9cole polytechnique f\u00e9d\u00e9rale, de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"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/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"],"is_corresponding":false,"raw_author_name":"Pinyan Lu","raw_affiliation_strings":["Microsoft Research Asia, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Microsoft Research Asia, Beijing, China","institution_ids":["https://openalex.org/I4210113369"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047872044"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.2741,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.94602566,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"25","issue":"1","first_page":"255","last_page":"304"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9983000159263611,"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":0.9937000274658203,"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/homomorphism","display_name":"Homomorphism","score":0.7289844155311584},{"id":"https://openalex.org/keywords/counting-problem","display_name":"Counting problem","score":0.6803518533706665},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6619574427604675},{"id":"https://openalex.org/keywords/constraint-satisfaction-problem","display_name":"Constraint satisfaction problem","score":0.49522367119789124},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47583889961242676},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.47302675247192383},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.44633162021636963},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.42436516284942627},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4154731035232544},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35389602184295654},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21716222167015076}],"concepts":[{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.7289844155311584},{"id":"https://openalex.org/C16592021","wikidata":"https://www.wikidata.org/wiki/Q5177154","display_name":"Counting problem","level":2,"score":0.6803518533706665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6619574427604675},{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.49522367119789124},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47583889961242676},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.47302675247192383},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.44633162021636963},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.42436516284942627},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4154731035232544},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35389602184295654},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21716222167015076},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00037-015-0118-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-015-0118-3","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},{"id":"pmh:oai:infoscience.epfl.ch:217683","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/217683","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:217683","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/217683","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W1485836178","https://openalex.org/W1545819195","https://openalex.org/W1549764781","https://openalex.org/W1550179875","https://openalex.org/W1550331971","https://openalex.org/W1559239101","https://openalex.org/W1571873445","https://openalex.org/W1590902061","https://openalex.org/W1660495057","https://openalex.org/W1881931158","https://openalex.org/W1997649256","https://openalex.org/W2000217912","https://openalex.org/W2002234069","https://openalex.org/W2006912660","https://openalex.org/W2011473996","https://openalex.org/W2012753562","https://openalex.org/W2015927509","https://openalex.org/W2031917338","https://openalex.org/W2039763834","https://openalex.org/W2045281597","https://openalex.org/W2052936500","https://openalex.org/W2054043146","https://openalex.org/W2058673868","https://openalex.org/W2068674173","https://openalex.org/W2077575555","https://openalex.org/W2078752178","https://openalex.org/W2083443606","https://openalex.org/W2092436554","https://openalex.org/W2097738137","https://openalex.org/W2099255094","https://openalex.org/W2099831741","https://openalex.org/W2112167630","https://openalex.org/W2112310806","https://openalex.org/W2114616381","https://openalex.org/W2118223706","https://openalex.org/W2131358503","https://openalex.org/W2134273915","https://openalex.org/W2135482514","https://openalex.org/W2141321698","https://openalex.org/W2144284937","https://openalex.org/W2145707075","https://openalex.org/W2150339067","https://openalex.org/W2154899352","https://openalex.org/W2282669851","https://openalex.org/W2293541501","https://openalex.org/W2294003223","https://openalex.org/W2570207426","https://openalex.org/W2913798276","https://openalex.org/W2949518432","https://openalex.org/W2953208278","https://openalex.org/W3124201190","https://openalex.org/W4240841316","https://openalex.org/W4251672886","https://openalex.org/W4255202909","https://openalex.org/W4301168154"],"related_works":["https://openalex.org/W4253538798","https://openalex.org/W2078752178","https://openalex.org/W2131358503","https://openalex.org/W2610219110","https://openalex.org/W2592203159","https://openalex.org/W2949582969","https://openalex.org/W4298847715","https://openalex.org/W1479905431","https://openalex.org/W2122631741","https://openalex.org/W253183949"],"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":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}