{"id":"https://openalex.org/W3105807303","doi":"https://doi.org/10.1007/s00373-021-02348-z","title":"A Cheeger Cut for Uniform Hypergraphs","display_name":"A Cheeger Cut for Uniform Hypergraphs","publication_year":2021,"publication_date":"2021-06-05","ids":{"openalex":"https://openalex.org/W3105807303","doi":"https://doi.org/10.1007/s00373-021-02348-z","mag":"3105807303"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-021-02348-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-021-02348-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-021-02348-z.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00373-021-02348-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053600659","display_name":"Raffaella Mulas","orcid":"https://orcid.org/0000-0003-4995-6479"},"institutions":[{"id":"https://openalex.org/I4210128584","display_name":"The Alan Turing Institute","ror":"https://ror.org/035dkdb55","country_code":"GB","type":"facility","lineage":["https://openalex.org/I4210128584"]},{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Raffaella Mulas","raw_affiliation_strings":["The Alan Turing Institute, London, UK","University of Southampton, Southampton, UK"],"raw_orcid":"https://orcid.org/0000-0003-4995-6479","affiliations":[{"raw_affiliation_string":"The Alan Turing Institute, London, UK","institution_ids":["https://openalex.org/I4210128584"]},{"raw_affiliation_string":"University of Southampton, Southampton, UK","institution_ids":["https://openalex.org/I43439940"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5053600659"],"corresponding_institution_ids":["https://openalex.org/I4210128584","https://openalex.org/I43439940"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":2.1114,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.85901106,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"37","issue":"6","first_page":"2265","last_page":"2286"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9988999962806702,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9871000051498413,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9810000061988831,"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/mathematics","display_name":"Mathematics","score":0.8972106575965881},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6795191764831543},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6741968989372253},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6627129316329956},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5790845155715942},{"id":"https://openalex.org/keywords/spectral-graph-theory","display_name":"Spectral graph theory","score":0.5621607899665833},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5433358550071716},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.5291310548782349},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5186835527420044},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.4795496165752411},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.342746376991272},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.320108562707901},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23456892371177673},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.0637778639793396},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.048861533403396606}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8972106575965881},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6795191764831543},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6741968989372253},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6627129316329956},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5790845155715942},{"id":"https://openalex.org/C74003402","wikidata":"https://www.wikidata.org/wiki/Q3180727","display_name":"Spectral graph theory","level":5,"score":0.5621607899665833},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5433358550071716},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.5291310548782349},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5186835527420044},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.4795496165752411},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.342746376991272},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.320108562707901},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23456892371177673},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.0637778639793396},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.048861533403396606},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00373-021-02348-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-021-02348-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-021-02348-z.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:eprints.soton.ac.uk:449807","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:2011.06816","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.06816","pdf_url":"https://arxiv.org/pdf/2011.06816","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:research.vu.nl:openaire_cris_publications/96291481-83cb-4653-b11b-f61d872b6b50","is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/96291481-83cb-4653-b11b-f61d872b6b50","pdf_url":null,"source":{"id":"https://openalex.org/S4306400546","display_name":"Digital Academic REpository of VU University Amsterdam (Vrije Universiteit Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mulas , R 2021 , ' A Cheeger Cut for Uniform Hypergraphs ' , Graphs and Combinatorics , vol. 37 , no. 6 , pp. 2265\u20132286 . https://doi.org/10.1007/s00373-021-02348-z","raw_type":"article"},{"id":"pmh:oai:research.vu.nl:publications/96291481-83cb-4653-b11b-f61d872b6b50","is_oa":true,"landing_page_url":"https://hdl.handle.net/1871.1/96291481-83cb-4653-b11b-f61d872b6b50","pdf_url":null,"source":{"id":"https://openalex.org/S4306400546","display_name":"Digital Academic REpository of VU University Amsterdam (Vrije Universiteit Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mulas , R 2021 , ' A Cheeger Cut for Uniform Hypergraphs ' , Graphs and Combinatorics , vol. 37 , no. 6 , pp. 2265\u20132286 . https://doi.org/10.1007/s00373-021-02348-z","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s00373-021-02348-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-021-02348-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-021-02348-z.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.7300000190734863}],"awards":[{"id":"https://openalex.org/G6290867921","display_name":null,"funder_award_id":"EPSRC grant EP/N510129/1","funder_id":"https://openalex.org/F4320313467","funder_display_name":"Alan Turing Institute"},{"id":"https://openalex.org/G8597009950","display_name":null,"funder_award_id":"EP/N510129/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320313467","display_name":"Alan Turing Institute","ror":"https://ror.org/035dkdb55"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3105807303.pdf"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W100944330","https://openalex.org/W1518824415","https://openalex.org/W1550621289","https://openalex.org/W1578099820","https://openalex.org/W1973668244","https://openalex.org/W1981343360","https://openalex.org/W1993111701","https://openalex.org/W2002276939","https://openalex.org/W2038098381","https://openalex.org/W2067976091","https://openalex.org/W2083786039","https://openalex.org/W2091016205","https://openalex.org/W2094200485","https://openalex.org/W2132914434","https://openalex.org/W2200304227","https://openalex.org/W2247694002","https://openalex.org/W2735310850","https://openalex.org/W2745443617","https://openalex.org/W2790855852","https://openalex.org/W2889745393","https://openalex.org/W2963055664","https://openalex.org/W2963361089","https://openalex.org/W2963492850","https://openalex.org/W2963585117","https://openalex.org/W2999000976","https://openalex.org/W3014282557","https://openalex.org/W3030648521","https://openalex.org/W3098439932","https://openalex.org/W3104339543","https://openalex.org/W3119024388","https://openalex.org/W3136117235","https://openalex.org/W3139237760","https://openalex.org/W3176869709","https://openalex.org/W3181622166","https://openalex.org/W4213175396","https://openalex.org/W4246684182","https://openalex.org/W4289547668","https://openalex.org/W6600977222"],"related_works":["https://openalex.org/W2014800978","https://openalex.org/W2061421451","https://openalex.org/W1969730698","https://openalex.org/W1552276833","https://openalex.org/W2132583619","https://openalex.org/W1995228206","https://openalex.org/W4243371733","https://openalex.org/W2147129399","https://openalex.org/W2013379693","https://openalex.org/W3106362747"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"graph":[2],"Cheeger":[3,6,45,57],"constant":[4],"and":[5,40,47],"inequalities":[7],"are":[8],"generalized":[9,33,44],"to":[10,54],"the":[11,18,27,32,43,48,56],"case":[12],"of":[13,31],"hypergraphs":[14],"whose":[15],"edges":[16],"have":[17],"same":[19],"cardinality.":[20],"In":[21],"particular,":[22],"it":[23],"is":[24,36],"shown":[25],"that":[26],"second":[28],"largest":[29],"eigenvalue":[30],"normalized":[34],"Laplacian":[35],"bounded":[37],"both":[38],"above":[39],"below":[41],"by":[42],"constant,":[46],"corresponding":[49],"eigenfunctions":[50],"can":[51],"be":[52],"used":[53],"approximate":[55],"cut.":[58]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-20T08:49:12.498775","created_date":"2025-10-10T00:00:00"}
