{"id":"https://openalex.org/W3026018393","doi":"https://doi.org/10.1017/s0963548321000080","title":"Polynomial-time approximation algorithms for the antiferromagnetic Ising model on line graphs","display_name":"Polynomial-time approximation algorithms for the antiferromagnetic Ising model on line graphs","publication_year":2021,"publication_date":"2021-04-12","ids":{"openalex":"https://openalex.org/W3026018393","doi":"https://doi.org/10.1017/s0963548321000080","mag":"3026018393"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548321000080","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548321000080","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0245A08F316EEE9C02F5588657215437/S0963548321000080a.pdf/div-class-title-polynomial-time-approximation-algorithms-for-the-antiferromagnetic-ising-model-on-line-graphs-div.pdf","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","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0245A08F316EEE9C02F5588657215437/S0963548321000080a.pdf/div-class-title-polynomial-time-approximation-algorithms-for-the-antiferromagnetic-ising-model-on-line-graphs-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019297501","display_name":"Martin Dyer","orcid":"https://orcid.org/0000-0002-2018-0374"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Martin Dyer","raw_affiliation_strings":["School of Computing, University of Leeds, Leeds LS2 9JT, UK","University of Leeds"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, University of Leeds, Leeds LS2 9JT, UK","institution_ids":["https://openalex.org/I130828816"]},{"raw_affiliation_string":"University of Leeds","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045226522","display_name":"Marc Heinrich","orcid":"https://orcid.org/0000-0003-4546-2359"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Marc Heinrich","raw_affiliation_strings":["School of Computing, University of Leeds, Leeds LS2 9JT, UK","University of Leeds"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, University of Leeds, Leeds LS2 9JT, UK","institution_ids":["https://openalex.org/I130828816"]},{"raw_affiliation_string":"University of Leeds","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"middle","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":true,"raw_author_name":"Mark Jerrum","raw_affiliation_strings":["School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, UK","institution_ids":["https://openalex.org/I166337079"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069794832","display_name":"Haiko M\u00fcller","orcid":"https://orcid.org/0000-0002-1123-1774"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Haiko M\u00fcller","raw_affiliation_strings":["School of Computing, University of Leeds, Leeds LS2 9JT, UK","University of Leeds"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, University of Leeds, Leeds LS2 9JT, UK","institution_ids":["https://openalex.org/I130828816"]},{"raw_affiliation_string":"University of Leeds","institution_ids":["https://openalex.org/I130828816"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090122841"],"corresponding_institution_ids":["https://openalex.org/I166337079"],"apc_list":null,"apc_paid":null,"fwci":0.2142,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51336547,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"30","issue":"6","first_page":"905","last_page":"921"},"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":0.9991999864578247,"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":0.9991999864578247,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9973000288009644,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ising-model","display_name":"Ising model","score":0.8806363344192505},{"id":"https://openalex.org/keywords/glauber","display_name":"Glauber","score":0.8666779398918152},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5259849429130554},{"id":"https://openalex.org/keywords/antiferromagnetism","display_name":"Antiferromagnetism","score":0.5028886198997498},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.48806488513946533},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.47186559438705444},{"id":"https://openalex.org/keywords/partition-function","display_name":"Partition function (quantum field theory)","score":0.4537504017353058},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.45061859488487244},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.44639432430267334},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.43608468770980835},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.418687641620636},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41760870814323425},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.41239380836486816},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40947145223617554},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3743380904197693},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35558849573135376},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.35223421454429626},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.2825832962989807},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22312024235725403},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.08932557702064514},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08526518940925598},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08126860857009888}],"concepts":[{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.8806363344192505},{"id":"https://openalex.org/C2780708879","wikidata":"https://www.wikidata.org/wiki/Q5567254","display_name":"Glauber","level":3,"score":0.8666779398918152},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5259849429130554},{"id":"https://openalex.org/C155355069","wikidata":"https://www.wikidata.org/wiki/Q575224","display_name":"Antiferromagnetism","level":2,"score":0.5028886198997498},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.48806488513946533},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47186559438705444},{"id":"https://openalex.org/C2778401447","wikidata":"https://www.wikidata.org/wiki/Q7140637","display_name":"Partition function (quantum field theory)","level":2,"score":0.4537504017353058},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.45061859488487244},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.44639432430267334},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.43608468770980835},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.418687641620636},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41760870814323425},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41239380836486816},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40947145223617554},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3743380904197693},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35558849573135376},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.35223421454429626},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2825832962989807},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22312024235725403},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.08932557702064514},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08526518940925598},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08126860857009888},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1017/s0963548321000080","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548321000080","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0245A08F316EEE9C02F5588657215437/S0963548321000080a.pdf/div-class-title-polynomial-time-approximation-algorithms-for-the-antiferromagnetic-ising-model-on-line-graphs-div.pdf","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:2005.07944","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.07944","pdf_url":"https://arxiv.org/pdf/2005.07944","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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:eprints.whiterose.ac.uk:162602","is_oa":true,"landing_page_url":"https://orcid.org/0000-0002-2018-0374>,","pdf_url":"https://eprints.whiterose.ac.uk/id/eprint/162602/1/2005.07944.pdf","source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"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":"Article"},{"id":"mag:3026018393","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2005.07944.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"doi:10.48550/arxiv.2005.07944","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2005.07944","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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:10.1017/s0963548321000080","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548321000080","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0245A08F316EEE9C02F5588657215437/S0963548321000080a.pdf/div-class-title-polynomial-time-approximation-algorithms-for-the-antiferromagnetic-ising-model-on-line-graphs-div.pdf","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"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.49000000953674316,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G6555597187","display_name":"Sampling in Hereditary Classes","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/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"},{"id":"https://openalex.org/G8494666276","display_name":"Sampling in Hereditary Classes","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/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3026018393.pdf","grobid_xml":"https://content.openalex.org/works/W3026018393.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W634962210","https://openalex.org/W1514725634","https://openalex.org/W1660495057","https://openalex.org/W1982250981","https://openalex.org/W2016832592","https://openalex.org/W2023212718","https://openalex.org/W2024710200","https://openalex.org/W2030087828","https://openalex.org/W2033281046","https://openalex.org/W2044936198","https://openalex.org/W2073608764","https://openalex.org/W2084986525","https://openalex.org/W2088847343","https://openalex.org/W2112310806","https://openalex.org/W2113292309","https://openalex.org/W2120340025","https://openalex.org/W2170458234","https://openalex.org/W2173795713","https://openalex.org/W2295428206","https://openalex.org/W2949326365","https://openalex.org/W2979591888","https://openalex.org/W3016941576","https://openalex.org/W3024138618","https://openalex.org/W3083452082","https://openalex.org/W3108234147","https://openalex.org/W3127137896","https://openalex.org/W3127673302","https://openalex.org/W4212998659","https://openalex.org/W4231916799","https://openalex.org/W4293052541","https://openalex.org/W6677045559"],"related_works":["https://openalex.org/W3155378399","https://openalex.org/W2024710200","https://openalex.org/W2038383704","https://openalex.org/W2003700620","https://openalex.org/W2093826962","https://openalex.org/W8675762","https://openalex.org/W2045012218","https://openalex.org/W2345354365","https://openalex.org/W2895307857","https://openalex.org/W1603614645","https://openalex.org/W2563824685","https://openalex.org/W1648613541","https://openalex.org/W2086594215","https://openalex.org/W2115525832","https://openalex.org/W2007211607","https://openalex.org/W2091430829","https://openalex.org/W2889409107","https://openalex.org/W3103028874","https://openalex.org/W2896843910","https://openalex.org/W2962831111"],"abstract_inverted_index":{"Abstract":[0],"We":[1,54,81],"present":[2],"a":[3],"polynomial-time":[4],"Markov":[5],"chain":[6],"Monte":[7],"Carlo":[8],"algorithm":[9,28,73],"for":[10,66,87],"estimating":[11],"the":[12,16,27,30,60,75,88,100],"partition":[13,61],"function":[14,62],"of":[15,26,59],"antiferromagnetic":[17],"Ising":[18,89],"model":[19,90],"on":[20,49,94],"any":[21],"line":[22,67,95],"graph.":[23],"The":[24],"analysis":[25],"exploits":[29],"\u2018winding\u2019":[31],"technology":[32],"devised":[33],"by":[34,41],"McQuillan":[35],"[CoRR":[36],"abs/1301.2880":[37],"(2013)]":[38],"and":[39,44],"developed":[40],"Huang,":[42],"Lu":[43],"Zhang":[45],"[Proc.":[46],"27th":[47],"Symp.":[48],"Disc.":[50],"Algorithms":[51],"(SODA16),":[52],"514\u2013527].":[53],"show":[55,83],"that":[56,70,77,84],"exact":[57],"computation":[58],"is":[63,74,91],"#P-hard,":[64],"even":[65],"graphs,":[68,96],"indicating":[69],"an":[71,97],"approximation":[72],"best":[76],"can":[78],"be":[79],"expected.":[80],"also":[82],"Glauber":[85],"dynamics":[86],"rapidly":[92],"mixing":[93],"example":[98],"being":[99],"kagome":[101],"lattice.":[102]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}