{"id":"https://openalex.org/W2889326428","doi":"https://doi.org/10.1017/s0963548320000292","title":"Approximately counting bases of bicircular matroids","display_name":"Approximately counting bases of bicircular matroids","publication_year":2020,"publication_date":"2020-08-06","ids":{"openalex":"https://openalex.org/W2889326428","doi":"https://doi.org/10.1017/s0963548320000292","mag":"2889326428"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548320000292","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548320000292","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1808.09548","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100354396","display_name":"Heng Guo","orcid":"https://orcid.org/0000-0001-8199-5596"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Heng Guo","raw_affiliation_strings":["School of Informatics, University of Edinburgh, Informatics Forum, EdinburghEH8 9AB, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Informatics, University of Edinburgh, Informatics Forum, EdinburghEH8 9AB, UK","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090122841","display_name":"Mark Jerrum","orcid":"https://orcid.org/0000-0003-0863-7279"},"institutions":[{"id":"https://openalex.org/I166337079","display_name":"Queen Mary University of London","ror":"https://ror.org/026zzn846","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I166337079"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mark Jerrum","raw_affiliation_strings":["School ofMathematical Sciences, Queen Mary, University of London, Mile End Road, LondonE1 4NS, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School ofMathematical Sciences, Queen Mary, University of London, Mile End Road, LondonE1 4NS, UK","institution_ids":["https://openalex.org/I166337079"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100354396"],"corresponding_institution_ids":["https://openalex.org/I98677209"],"apc_list":null,"apc_paid":null,"fwci":1.9938,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.87200124,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"30","issue":"1","first_page":"124","last_page":"135"},"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":0.9988999962806702,"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/T11106","display_name":"Data Management and Algorithms","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/matroid","display_name":"Matroid","score":0.947014331817627},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6149412989616394},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5224893689155579},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4612746238708496},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.45819908380508423},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40234464406967163},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3990779519081116},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0785057544708252},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.03539267182350159}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.947014331817627},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6149412989616394},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5224893689155579},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4612746238708496},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45819908380508423},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40234464406967163},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3990779519081116},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0785057544708252},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.03539267182350159}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1017/s0963548320000292","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548320000292","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1808.09548","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.09548","pdf_url":"https://arxiv.org/pdf/1808.09548","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":"pmh:oai:pure.ed.ac.uk:openaire/b3950cc9-6273-4ef2-abf3-bb61827411d3","is_oa":true,"landing_page_url":"https://hdl.handle.net/20.500.11820/b3950cc9-6273-4ef2-abf3-bb61827411d3","pdf_url":null,"source":{"id":"https://openalex.org/S4306400321","display_name":"Edinburgh Research Explorer (University of Edinburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98677209","host_organization_name":"University of Edinburgh","host_organization_lineage":["https://openalex.org/I98677209"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Guo, H & Jerrum, M 2021, 'Approximately counting bases of bicircular matroids', Combinatorics, Probability and Computing, vol. 30, no. 1, pp. 124 - 135. https://doi.org/10.1017/S0963548320000292","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.ed.ac.uk:publications/b3950cc9-6273-4ef2-abf3-bb61827411d3","is_oa":false,"landing_page_url":"https://www.cambridge.org/core/journals/combinatorics-probability-and-computing/article/approximately-counting-bases-of-bicircular-matroids/1503038473E8C262382C9D231718F2DF","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:pure.ed.ac.uk:publications/b3950cc9-6273-4ef2-abf3-bb61827411d3","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/b3950cc9-6273-4ef2-abf3-bb61827411d3","pdf_url":null,"source":{"id":"https://openalex.org/S4306400321","display_name":"Edinburgh Research Explorer (University of Edinburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98677209","host_organization_name":"University of Edinburgh","host_organization_lineage":["https://openalex.org/I98677209"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Guo, H & Jerrum, M 2021, 'Approximately counting bases of bicircular matroids', Combinatorics, Probability and Computing, vol. 30, no. 1, pp. 124 - 135. https://doi.org/10.1017/S0963548320000292","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1808.09548","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.09548","pdf_url":"https://arxiv.org/pdf/1808.09548","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1197539974","display_name":null,"funder_award_id":"EP/N004221/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8080949397","display_name":null,"funder_award_id":"EP/S016562/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8180356265","display_name":null,"funder_award_id":"EP/S016694/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320324781","display_name":"Shanghai University of Finance and Economics","ror":"https://ror.org/00wtvfq62"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W634962210","https://openalex.org/W1556052738","https://openalex.org/W1890314169","https://openalex.org/W1935862350","https://openalex.org/W1966657789","https://openalex.org/W1985103871","https://openalex.org/W2021272950","https://openalex.org/W2022380818","https://openalex.org/W2034516946","https://openalex.org/W2035402840","https://openalex.org/W2035655704","https://openalex.org/W2066969286","https://openalex.org/W2071516900","https://openalex.org/W2088847343","https://openalex.org/W2093375603","https://openalex.org/W2104374969","https://openalex.org/W2117405272","https://openalex.org/W2134815593","https://openalex.org/W2183676805","https://openalex.org/W2295428206","https://openalex.org/W2295578127","https://openalex.org/W2514318483","https://openalex.org/W2795481904","https://openalex.org/W2810962112","https://openalex.org/W2914272038","https://openalex.org/W2949441583","https://openalex.org/W2962868465","https://openalex.org/W2963722886","https://openalex.org/W2971746642","https://openalex.org/W3023815738","https://openalex.org/W3100115796","https://openalex.org/W3103270073","https://openalex.org/W3104245944","https://openalex.org/W4212998659","https://openalex.org/W4231916799","https://openalex.org/W4254417212","https://openalex.org/W6752933139"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2058299944","https://openalex.org/W4233892543","https://openalex.org/W1550144461","https://openalex.org/W4323360720","https://openalex.org/W2783959783","https://openalex.org/W2037206237","https://openalex.org/W3000635646","https://openalex.org/W2033011390","https://openalex.org/W4310658774"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"give":[2],"a":[3,20],"fully":[4],"polynomial-time":[5],"randomized":[6],"approximation":[7],"scheme":[8],"(FPRAS)":[9],"for":[10,25],"the":[11],"number":[12],"of":[13,23],"bases":[14,28],"in":[15],"bicircular":[16],"matroids.":[17],"This":[18],"is":[19,30],"natural":[21],"class":[22],"matroids":[24],"which":[26],"counting":[27,37],"exactly":[29],"#":[31],"P":[32],"-hard":[33],"and":[34],"yet":[35],"approximate":[36],"can":[38],"be":[39],"done":[40],"efficiently.":[41]},"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":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2020-11-23T00:00:00"}
