{"id":"https://openalex.org/W2766232880","doi":"https://doi.org/10.1137/18m1184485","title":"Inapproximability of the Independent Set Polynomial in the Complex Plane","display_name":"Inapproximability of the Independent Set Polynomial in the Complex Plane","publication_year":2018,"publication_date":"2018-06-20","ids":{"openalex":"https://openalex.org/W2766232880","doi":"https://doi.org/10.1137/18m1184485","mag":"2766232880"},"language":"en","primary_location":{"id":"doi:10.1137/18m1184485","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1184485","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3188745.3188788","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055688854","display_name":"Ivona Bez\u00e1kov\u00e1","orcid":"https://orcid.org/0000-0002-8966-5396"},"institutions":[{"id":"https://openalex.org/I155173764","display_name":"Rochester Institute of Technology","ror":"https://ror.org/00v4yb702","country_code":"US","type":"education","lineage":["https://openalex.org/I155173764"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ivona Bez\u00e1kov\u00e1","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089713528","display_name":"Andreas Galanis","orcid":"https://orcid.org/0000-0003-3579-6531"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andreas Galanis","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029293569","display_name":"Leslie Ann Goldberg","orcid":"https://orcid.org/0000-0003-1879-6089"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Leslie Ann Goldberg","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5088287514","display_name":"Daniel \u0160tefankovi\u010d","orcid":"https://orcid.org/0000-0002-4849-7955"},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel \u0160tefankovi\u010d","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2106,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.49884054,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"49","issue":"5","first_page":"1234","last_page":"1240"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994000196456909,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9991999864578247,"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/lambda","display_name":"Lambda","score":0.8265051245689392},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6985554099082947},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5323876142501831},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5311328768730164},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5249873399734497},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5196741223335266},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41095757484436035},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25233709812164307},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12929922342300415}],"concepts":[{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.8265051245689392},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6985554099082947},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5323876142501831},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5311328768730164},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5249873399734497},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5196741223335266},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41095757484436035},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25233709812164307},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12929922342300415},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1137/18m1184485","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1184485","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"doi:10.1145/3188745.3188788","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3188745.3188788","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3188745.3188788","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1711.00282","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.00282","pdf_url":"https://arxiv.org/pdf/1711.00282","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2766232880","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1711.00282","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:doi:10.48550/arxiv.1711.00282","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:6de03289-cdb1-4b07-88db-6b4c0b8cb234","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:6de03289-cdb1-4b07-88db-6b4c0b8cb234","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference item"},{"id":"doi:10.48550/arxiv.1711.00282","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1711.00282","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1145/3188745.3188788","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3188745.3188788","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3188745.3188788","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G258906920","display_name":"AF: Medium: Collaborative Research: The Power of Randomness for Approximate Counting","funder_award_id":"1563757","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G261685824","display_name":null,"funder_award_id":"CCF-1319987","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3829048491","display_name":null,"funder_award_id":"FP7/2007-2013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4104599821","display_name":null,"funder_award_id":"FP7/2007-2013","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5441006373","display_name":"AF: Small: Counting and Sampling Cuts and Paths in Planar and Lattice Graphs","funder_award_id":"1319987","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5593277320","display_name":null,"funder_award_id":"2007-2013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5702163051","display_name":null,"funder_award_id":"FP7/2007","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5855577457","display_name":null,"funder_award_id":"CCF-1563757","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6334545473","display_name":null,"funder_award_id":"334828","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G692773533","display_name":null,"funder_award_id":"334828","funder_id":"https://openalex.org/F4320333065","funder_display_name":"Seventh Framework Programme"},{"id":"https://openalex.org/G8631708735","display_name":null,"funder_award_id":"334828","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"},{"id":"https://openalex.org/G8887780481","display_name":null,"funder_award_id":"CCF-1319987 and 0910415","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"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320333065","display_name":"Seventh Framework Programme","ror":null},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2766232880.pdf","grobid_xml":"https://content.openalex.org/works/W2766232880.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1578418738","https://openalex.org/W1681927657","https://openalex.org/W1987107795","https://openalex.org/W2004724832","https://openalex.org/W2031561848","https://openalex.org/W2057512592","https://openalex.org/W2069632988","https://openalex.org/W2096626276","https://openalex.org/W2157869188","https://openalex.org/W2474151873","https://openalex.org/W2503719249","https://openalex.org/W2775956831","https://openalex.org/W2883073561","https://openalex.org/W2963400600","https://openalex.org/W2963721130","https://openalex.org/W2964192312","https://openalex.org/W3101126964"],"related_works":["https://openalex.org/W3127047433","https://openalex.org/W2949182485","https://openalex.org/W2781558016","https://openalex.org/W1836282248","https://openalex.org/W242503142","https://openalex.org/W2794887178","https://openalex.org/W2950929157","https://openalex.org/W3016648673","https://openalex.org/W3093211768","https://openalex.org/W2960000921","https://openalex.org/W2951680894","https://openalex.org/W2503553525","https://openalex.org/W3082581272","https://openalex.org/W1575386191","https://openalex.org/W2952496718","https://openalex.org/W2951642689","https://openalex.org/W2398977735","https://openalex.org/W3206577904","https://openalex.org/W2766178312","https://openalex.org/W3022250425"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,6,9,23],"complexity":[3],"of":[4,8,14],"approximating":[5],"value":[7],"independent":[10],"set":[11],"polynomial":[12],"ZG(\u03bb)":[13],"a":[15,27],"graph":[16],"G":[17],"with":[18],"maximum":[19],"degree":[20],"\u0394":[21],"when":[22],"activity":[24],"\u03bb":[25],"is":[26],"complex":[28],"number.":[29]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
