{"id":"https://openalex.org/W3000481134","doi":"https://doi.org/10.1109/tsipn.2020.2964211","title":"Fastest Mixing Reversible Markov Chain: Clique Lifted Graphs and Subgraphs","display_name":"Fastest Mixing Reversible Markov Chain: Clique Lifted Graphs and Subgraphs","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3000481134","doi":"https://doi.org/10.1109/tsipn.2020.2964211","mag":"3000481134"},"language":"en","primary_location":{"id":"doi:10.1109/tsipn.2020.2964211","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsipn.2020.2964211","pdf_url":null,"source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal and Information Processing over Networks","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2501.02421","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017861188","display_name":"Saber Jafarizadeh","orcid":"https://orcid.org/0000-0003-1015-0101"},"institutions":[{"id":"https://openalex.org/I1301041018","display_name":"Rakuten (Japan)","ror":"https://ror.org/0098kke80","country_code":"JP","type":"company","lineage":["https://openalex.org/I1301041018"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Saber Jafarizadeh","raw_affiliation_strings":["Rakuten Institute of Technology, Rakuten Inc., Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0003-1015-0101","affiliations":[{"raw_affiliation_string":"Rakuten Institute of Technology, Rakuten Inc., Tokyo, Japan","institution_ids":["https://openalex.org/I1301041018"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017861188"],"corresponding_institution_ids":["https://openalex.org/I1301041018"],"apc_list":null,"apc_paid":null,"fwci":1.5445,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.83736684,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"6","issue":null,"first_page":"88","last_page":"104"},"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":0.9980000257492065,"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":0.9980000257492065,"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/T11476","display_name":"Graph theory and applications","score":0.9907000064849854,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.9878000020980835,"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/markov-chain","display_name":"Markov chain","score":0.727551281452179},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5855191946029663},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5667834877967834},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.5214394927024841},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.5089247226715088},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49984002113342285},{"id":"https://openalex.org/keywords/clique-problem","display_name":"Clique problem","score":0.4685695171356201},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"Stationary distribution","score":0.46745023131370544},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.4567912220954895},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.4443078637123108},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.442219614982605},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.330300509929657},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.2878485321998596}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.727551281452179},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5855191946029663},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5667834877967834},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.5214394927024841},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.5089247226715088},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49984002113342285},{"id":"https://openalex.org/C150997102","wikidata":"https://www.wikidata.org/wiki/Q1196873","display_name":"Clique problem","level":5,"score":0.4685695171356201},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.46745023131370544},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.4567912220954895},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.4443078637123108},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.442219614982605},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.330300509929657},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.2878485321998596},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsipn.2020.2964211","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsipn.2020.2964211","pdf_url":null,"source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal and Information Processing over Networks","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2501.02421","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2501.02421","pdf_url":"https://arxiv.org/pdf/2501.02421","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2501.02421","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2501.02421","pdf_url":"https://arxiv.org/pdf/2501.02421","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3000481134.pdf","grobid_xml":"https://content.openalex.org/works/W3000481134.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1586184796","https://openalex.org/W1589331344","https://openalex.org/W1997356938","https://openalex.org/W2024060531","https://openalex.org/W2025189987","https://openalex.org/W2043694962","https://openalex.org/W2056760934","https://openalex.org/W2058699951","https://openalex.org/W2060493211","https://openalex.org/W2074400367","https://openalex.org/W2075083401","https://openalex.org/W2095711848","https://openalex.org/W2113356174","https://openalex.org/W2120204400","https://openalex.org/W2123056045","https://openalex.org/W2134711723","https://openalex.org/W2135543149","https://openalex.org/W2147256592","https://openalex.org/W2162114800","https://openalex.org/W2164328519","https://openalex.org/W2170358724","https://openalex.org/W2323784209","https://openalex.org/W2329340938","https://openalex.org/W2375013786","https://openalex.org/W2400453370","https://openalex.org/W2441196741","https://openalex.org/W2961795247","https://openalex.org/W3105329945","https://openalex.org/W3105460891","https://openalex.org/W4212845867","https://openalex.org/W4233055081","https://openalex.org/W4236352634","https://openalex.org/W4237059239","https://openalex.org/W4250589301","https://openalex.org/W6676770938","https://openalex.org/W6712488688","https://openalex.org/W6814555922"],"related_works":["https://openalex.org/W2165678151","https://openalex.org/W1796509207","https://openalex.org/W2082603400","https://openalex.org/W3203939381","https://openalex.org/W4405265013","https://openalex.org/W2211403609","https://openalex.org/W2162082186","https://openalex.org/W2154914679","https://openalex.org/W2811144945","https://openalex.org/W1978363339"],"abstract_inverted_index":{"Markov":[0,49,66],"chains":[1,50],"are":[2,19,110],"one":[3],"of":[4,46,119,124,137,148,161,177,184,186],"the":[5,15,38,43,47,62,84,88,95,99,103,117,120,125,128,140,145,149,171,178,187],"well-known":[6],"tools":[7],"for":[8,21,74],"modeling":[9],"and":[10,79,116],"analyzing":[11],"stochastic":[12],"systems.":[13],"At":[14],"same":[16,141],"time,":[17],"they":[18],"used":[20],"constructing":[22],"random":[23],"walks":[24],"that":[25,41,73,170],"can":[26,180],"achieve":[27],"a":[28,52,75,134],"given":[29,53,76],"stationary":[30],"distribution.":[31,55],"This":[32,56],"paper":[33],"is":[34,58,71,92,152,168],"concerned":[35],"with":[36,139],"determining":[37],"transition":[39,173],"probabilities":[40,174],"optimize":[42],"mixing":[44,105],"time":[45],"reversible":[48],"towards":[51],"equilibrium":[54],"problem":[57,86,97,129,151],"referred":[59],"to":[60,94],"as":[61,157,159],"Fastest":[63],"Mixing":[64],"Reversible":[65],"Chain":[67],"(FMRMC)":[68],"problem.":[69],"It":[70],"shown":[72,169],"base":[77,100,142],"graph":[78,91],"its":[80],"clique":[81,89],"lifted":[82,90],"graph,":[83,101],"FMRMC":[85,96,126,150],"over":[87,98,133,175],"reducible":[93],"while":[102],"optimal":[104,172],"times":[106],"on":[107,113,154],"both":[108],"graphs":[109],"identical.":[111],"Based":[112],"this":[114],"result":[115],"solution":[118],"semidefinite":[121],"programming":[122],"formulation":[123],"problem,":[127],"has":[130],"been":[131],"addressed":[132,153],"wide":[135],"variety":[136],"topologies":[138,156],"graph.":[143,164],"Second,":[144],"general":[146],"form":[147],"stand-alone":[155],"well":[158],"subgraphs":[160],"an":[162],"arbitrary":[163],"For":[165],"subgraphs,":[166],"it":[167],"edges":[176],"subgraph":[179],"be":[181],"determined":[182],"independent":[183],"rest":[185],"topology.":[188]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}