{"id":"https://openalex.org/W3089022691","doi":"https://doi.org/10.1137/20m137999x","title":"The Ising Antiferromagnet and Max Cut on Random Regular Graphs","display_name":"The Ising Antiferromagnet and Max Cut on Random Regular Graphs","publication_year":2022,"publication_date":"2022-06-01","ids":{"openalex":"https://openalex.org/W3089022691","doi":"https://doi.org/10.1137/20m137999x","mag":"3089022691"},"language":"en","primary_location":{"id":"doi:10.1137/20m137999x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m137999x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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 Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://researchonline.lse.ac.uk/id/eprint/113471/1/Ising_antiferromagnet_revised_clean.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044991483","display_name":"Amin Coja\u2010Oghlan","orcid":"https://orcid.org/0000-0002-7350-1418"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Amin Coja-Oghlan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008629503","display_name":"Philipp Loick","orcid":"https://orcid.org/0000-0002-4478-3276"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Philipp Loick","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112578963","display_name":"Bal\u00e1zs F. Mezei","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bal\u00e1zs F. Mezei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5083890565","display_name":"Gregory B. Sorkin","orcid":"https://orcid.org/0000-0003-4935-7820"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gregory B. Sorkin","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-4935-7820","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6971,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.90365917,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"36","issue":"2","first_page":"1306","last_page":"1342"},"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11716","display_name":"Random Matrices and Applications","score":0.9987000226974487,"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/mathematics","display_name":"Mathematics","score":0.8036506175994873},{"id":"https://openalex.org/keywords/ising-model","display_name":"Ising model","score":0.7527695894241333},{"id":"https://openalex.org/keywords/stochastic-block-model","display_name":"Stochastic block model","score":0.7281610369682312},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.6349664926528931},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5428653955459595},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5011324882507324},{"id":"https://openalex.org/keywords/symmetry-breaking","display_name":"Symmetry breaking","score":0.47521692514419556},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4627290964126587},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.45882320404052734},{"id":"https://openalex.org/keywords/maximum-cut","display_name":"Maximum cut","score":0.4552728831768036},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.357458233833313},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1372661590576172},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.11431875824928284},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10971233248710632},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10092470049858093},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08658087253570557}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8036506175994873},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.7527695894241333},{"id":"https://openalex.org/C2779982251","wikidata":"https://www.wikidata.org/wiki/Q25053762","display_name":"Stochastic block model","level":3,"score":0.7281610369682312},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.6349664926528931},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5428653955459595},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5011324882507324},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.47521692514419556},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4627290964126587},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.45882320404052734},{"id":"https://openalex.org/C165526019","wikidata":"https://www.wikidata.org/wiki/Q942557","display_name":"Maximum cut","level":3,"score":0.4552728831768036},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.357458233833313},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1372661590576172},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.11431875824928284},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10971233248710632},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10092470049858093},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08658087253570557},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/20m137999x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m137999x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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 Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:researchonline.lse.ac.uk:113471","is_oa":true,"landing_page_url":"https://orcid.org/0000-0003-4935-7820>","pdf_url":"https://researchonline.lse.ac.uk/id/eprint/113471/1/Ising_antiferromagnet_revised_clean.pdf","source":{"id":"https://openalex.org/S7407055460","display_name":"LSE Research Online","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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":{"id":"pmh:oai:researchonline.lse.ac.uk:113471","is_oa":true,"landing_page_url":"https://orcid.org/0000-0003-4935-7820>","pdf_url":"https://researchonline.lse.ac.uk/id/eprint/113471/1/Ising_antiferromagnet_revised_clean.pdf","source":{"id":"https://openalex.org/S7407055460","display_name":"LSE Research Online","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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7401965855","display_name":null,"funder_award_id":"CO 646/3","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3089022691.pdf","grobid_xml":"https://content.openalex.org/works/W3089022691.grobid-xml"},"referenced_works_count":70,"referenced_works":["https://openalex.org/W1495614839","https://openalex.org/W1502228682","https://openalex.org/W1622584740","https://openalex.org/W1739872454","https://openalex.org/W1970439924","https://openalex.org/W1974967023","https://openalex.org/W1985123706","https://openalex.org/W1987441277","https://openalex.org/W1989036756","https://openalex.org/W1999032440","https://openalex.org/W2004531067","https://openalex.org/W2009029764","https://openalex.org/W2018836315","https://openalex.org/W2022083710","https://openalex.org/W2023348178","https://openalex.org/W2023729725","https://openalex.org/W2040665723","https://openalex.org/W2041944702","https://openalex.org/W2043509032","https://openalex.org/W2064282083","https://openalex.org/W2078168527","https://openalex.org/W2080262960","https://openalex.org/W2080863302","https://openalex.org/W2093034816","https://openalex.org/W2101851522","https://openalex.org/W2101936356","https://openalex.org/W2114351639","https://openalex.org/W2116466689","https://openalex.org/W2120358419","https://openalex.org/W2122388370","https://openalex.org/W2139585907","https://openalex.org/W2161410247","https://openalex.org/W2162521241","https://openalex.org/W2168290833","https://openalex.org/W2172204481","https://openalex.org/W2196782699","https://openalex.org/W2216459995","https://openalex.org/W2272753335","https://openalex.org/W2302206641","https://openalex.org/W2399597738","https://openalex.org/W2548129158","https://openalex.org/W2559839022","https://openalex.org/W2566505556","https://openalex.org/W2586209177","https://openalex.org/W2605280783","https://openalex.org/W2612126672","https://openalex.org/W2765846489","https://openalex.org/W2766650626","https://openalex.org/W2804968020","https://openalex.org/W2811416829","https://openalex.org/W2887121290","https://openalex.org/W2905876360","https://openalex.org/W2962801026","https://openalex.org/W2963349778","https://openalex.org/W2963892318","https://openalex.org/W2963946005","https://openalex.org/W3042557750","https://openalex.org/W3098551378","https://openalex.org/W3100344387","https://openalex.org/W3101041417","https://openalex.org/W3101273398","https://openalex.org/W3102147728","https://openalex.org/W3103672205","https://openalex.org/W3103971601","https://openalex.org/W3104159922","https://openalex.org/W3105093626","https://openalex.org/W3105177482","https://openalex.org/W3105442588","https://openalex.org/W3125518523","https://openalex.org/W4247919263"],"related_works":["https://openalex.org/W3164713530","https://openalex.org/W3016050978","https://openalex.org/W2796901439","https://openalex.org/W4283448257","https://openalex.org/W2977688136","https://openalex.org/W4301017148","https://openalex.org/W2754525922","https://openalex.org/W3088247692","https://openalex.org/W3048055536","https://openalex.org/W3102036813"],"abstract_inverted_index":{"The":[0],"Ising":[1],"antiferromagnet":[2],"is":[3],"an":[4,67],"important":[5],"statistical":[6],"physics":[7],"model":[8,80],"with":[9,21,86],"close":[10],"connections":[11],"to":[12],"the":[13,22,27,32,48,72,76,87],"Max":[14,49],"Cut":[15,50],"problem.":[16],"Combining":[17],"spatial":[18],"mixing":[19],"arguments":[20],"method":[23],"of":[24,51,75],"moments":[25],"and":[26,58],"interpolation":[28],"method,":[29],"we":[30,42,69],"pinpoint":[31],"replica":[33],"symmetry":[34],"breaking":[35],"phase":[36],"transition":[37],"predicted":[38,55],"by":[39,56],"physicists.":[40],"Additionally,":[41],"rigorously":[43],"establish":[44],"upper":[45],"bounds":[46],"on":[47,81],"random":[52,82],"regular":[53,83],"graphs":[54,84],"Zdeborov\u00e1":[57],"Boettcher":[59],"[J.":[60],"Stat.":[61],"Mech.,":[62],"2010":[63],"(2010),":[64],"P02020].":[65],"As":[66],"application":[68],"prove":[70],"that":[71],"information-theoretic":[73],"threshold":[74],"disassortative":[77],"stochastic":[78],"block":[79],"coincides":[85],"Kesten--Stigum":[88],"bound.":[89]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
