{"id":"https://openalex.org/W2913888525","doi":"https://doi.org/10.1017/s0963548306007541","title":"Rayleigh Matroids","display_name":"Rayleigh Matroids","publication_year":2006,"publication_date":"2006-07-31","ids":{"openalex":"https://openalex.org/W2913888525","doi":"https://doi.org/10.1017/s0963548306007541","mag":"2913888525"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548306007541","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548306007541","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":["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/A5112543356","display_name":"YoungBin Choe","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"YOUNGBIN CHOE","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 (e-mail:","Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 (e-mail: ybchoe@math.uwaterloo.ca, dgwagner@math.uwaterloo.ca)#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 (e-mail:","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 (e-mail: ybchoe@math.uwaterloo.ca, dgwagner@math.uwaterloo.ca)#TAB#","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109967402","display_name":"David G. Wagner","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"DAVID G. WAGNER","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 (e-mail:","Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 (e-mail: ybchoe@math.uwaterloo.ca, dgwagner@math.uwaterloo.ca)#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 (e-mail:","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 (e-mail: ybchoe@math.uwaterloo.ca, dgwagner@math.uwaterloo.ca)#TAB#","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":5.4801,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.96370831,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"15","issue":"5","first_page":"765","last_page":"781"},"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":0.9991000294685364,"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":0.9991000294685364,"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":0.9990000128746033,"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"}},{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.9837809801101685},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.7419068813323975},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7011867761611938},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5625879168510437},{"id":"https://openalex.org/keywords/matroid-partitioning","display_name":"Matroid partitioning","score":0.5539646148681641},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5536308884620667},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.49854016304016113},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.47420623898506165},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41136834025382996},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27371639013290405},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.08720433712005615}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9837809801101685},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.7419068813323975},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7011867761611938},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5625879168510437},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.5539646148681641},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5536308884620667},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.49854016304016113},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.47420623898506165},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41136834025382996},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27371639013290405},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08720433712005615},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548306007541","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548306007541","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W193563330","https://openalex.org/W1485627046","https://openalex.org/W1629366369","https://openalex.org/W1840565821","https://openalex.org/W1858499400","https://openalex.org/W1985284097","https://openalex.org/W2029673229","https://openalex.org/W2040526835","https://openalex.org/W2043790108","https://openalex.org/W2057264389","https://openalex.org/W2110806960","https://openalex.org/W2129355511","https://openalex.org/W2169180024","https://openalex.org/W2295578127","https://openalex.org/W3123082523"],"related_works":["https://openalex.org/W2058489697","https://openalex.org/W2072414647","https://openalex.org/W4367050287","https://openalex.org/W2400862597","https://openalex.org/W2106412416","https://openalex.org/W2625145881","https://openalex.org/W2046319394","https://openalex.org/W1984819493","https://openalex.org/W2106233458","https://openalex.org/W2159059797"],"abstract_inverted_index":{"Motivated":[0],"by":[1,25],"a":[2,18,34,51,81],"property":[3],"of":[4,13,20,36,80],"linear":[5],"resistive":[6],"electrical":[7],"networks,":[8],"we":[9,48],"introduce":[10],"the":[11,21,65],"class":[12],"Rayleigh":[14,39,55],"matroids.":[15],"These":[16],"form":[17],"subclass":[19],"balanced":[22,82],"matroids":[23,40],"defined":[24],"Feder":[26],"and":[27,57],"Mihail":[28],"[9]":[29],"in":[30,46,73],"1992.":[31],"We":[32,75],"prove":[33],"variety":[35],"results":[37],"relating":[38],"to":[41],"other":[42],"well-known":[43],"classes":[44],"\u2013":[45],"particular,":[47],"show":[49],"that":[50],"binary":[52,68],"matroid":[53,83],"is":[54,64,85],"if":[56,59],"only":[58,66],"it":[60],"does":[61],"not":[62,86],"contain":[63],"minor-minimal":[67],"non-balanced":[69],"matroid,":[70],"as":[71],"claimed":[72],"[9].":[74],"also":[76],"give":[77],"an":[78],"example":[79],"which":[84],"Rayleigh.":[87]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2019-02-21T00:00:00"}