{"id":"https://openalex.org/W2510161366","doi":"https://doi.org/10.1017/s0963548316000274","title":"Judicious Partitioning of Hypergraphs with Edges of Size at Most 2","display_name":"Judicious Partitioning of Hypergraphs with Edges of Size at Most 2","publication_year":2016,"publication_date":"2016-08-16","ids":{"openalex":"https://openalex.org/W2510161366","doi":"https://doi.org/10.1017/s0963548316000274","mag":"2510161366"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548316000274","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548316000274","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/A5103008890","display_name":"Jianfeng Hou","orcid":"https://orcid.org/0009-0008-3791-6107"},"institutions":[{"id":"https://openalex.org/I2799411422","display_name":"Center for Discrete Mathematics and Theoretical Computer Science","ror":"https://ror.org/00k551w06","country_code":"US","type":"facility","lineage":["https://openalex.org/I102322142","https://openalex.org/I118347220","https://openalex.org/I1283103587","https://openalex.org/I1311060795","https://openalex.org/I20089843","https://openalex.org/I2799411422","https://openalex.org/I4210107353"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"JIANFENG HOU","raw_affiliation_strings":["Center for Discrete Mathematics, Fuzhou University, Fujian, P. R. China350003 (e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Discrete Mathematics, Fuzhou University, Fujian, P. R. China350003 (e-mail:","institution_ids":["https://openalex.org/I2799411422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078897190","display_name":"Qinghou Zeng","orcid":"https://orcid.org/0000-0001-9476-210X"},"institutions":[{"id":"https://openalex.org/I2799411422","display_name":"Center for Discrete Mathematics and Theoretical Computer Science","ror":"https://ror.org/00k551w06","country_code":"US","type":"facility","lineage":["https://openalex.org/I102322142","https://openalex.org/I118347220","https://openalex.org/I1283103587","https://openalex.org/I1311060795","https://openalex.org/I20089843","https://openalex.org/I2799411422","https://openalex.org/I4210107353"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"QINGHOU ZENG","raw_affiliation_strings":["Center for Discrete Mathematics, Fuzhou University, Fujian, P. R. China350003 (e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Discrete Mathematics, Fuzhou University, Fujian, P. R. China350003 (e-mail:","institution_ids":["https://openalex.org/I2799411422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078897190"],"corresponding_institution_ids":["https://openalex.org/I2799411422"],"apc_list":null,"apc_paid":null,"fwci":1.6038,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.8506736,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"26","issue":"2","first_page":"267","last_page":"284"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9991999864578247,"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/combinatorics","display_name":"Combinatorics","score":0.8736896514892578},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.8699580430984497},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.797103762626648},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7412418127059937},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6789008378982544},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5085750818252563},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4954184293746948},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39093464612960815},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10626649856567383},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.04982060194015503}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8736896514892578},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.8699580430984497},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.797103762626648},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7412418127059937},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6789008378982544},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5085750818252563},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4954184293746948},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39093464612960815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10626649856567383},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.04982060194015503},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548316000274","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548316000274","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1578444888","https://openalex.org/W1965767573","https://openalex.org/W1971692513","https://openalex.org/W1997512277","https://openalex.org/W2011488679","https://openalex.org/W2022684130","https://openalex.org/W2022851630","https://openalex.org/W2026975675","https://openalex.org/W2030713116","https://openalex.org/W2038562737","https://openalex.org/W2044253309","https://openalex.org/W2045027193","https://openalex.org/W2050977427","https://openalex.org/W2082198405","https://openalex.org/W2085815746","https://openalex.org/W2094939916","https://openalex.org/W2110869621","https://openalex.org/W2146652681","https://openalex.org/W2277029106","https://openalex.org/W2290912581","https://openalex.org/W2496833595","https://openalex.org/W3102841042","https://openalex.org/W4246647751","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4376608589","https://openalex.org/W3138003926","https://openalex.org/W4300037846","https://openalex.org/W1630514295","https://openalex.org/W1537073411","https://openalex.org/W2963081352","https://openalex.org/W4376608938","https://openalex.org/W2777980911","https://openalex.org/W2737272503","https://openalex.org/W4385248312"],"abstract_inverted_index":{"Judicious":[0],"partitioning":[1],"problems":[2],"on":[3],"graphs":[4],"and":[5,22,39],"hypergraphs":[6],"ask":[7],"for":[8,35],"partitions":[9],"that":[10,42,68],"optimize":[11],"several":[12],"quantities":[13],"simultaneously.":[14],"Let":[15],"k":[16,48,74],"\u2265":[17],"2":[18],"be":[19,25],"an":[20],"integer":[21],"let":[23],"G":[24,43,69],"a":[26,45,71],"hypergraph":[27],"with":[28],"m":[29],"i":[30,34,36],"edges":[31],"of":[32,51,77],"size":[33],"=1,2.":[37],"Bollob\u00e1s":[38],"Scott":[40],"conjectured":[41],"has":[44,70],"partition":[46,72],"into":[47,73],"classes,":[49,75],"each":[50,76],"which":[52,78],"contains":[53,79],"at":[54,80],"most":[55,81],"$m_1/k+m_2/k^2+O(\\sqrt{m_1+m_2})$":[56],"edges.":[57,83],"In":[58],"this":[59],"paper,":[60],"we":[61],"confirm":[62],"the":[63],"conjecture":[64],"affirmatively":[65],"by":[66],"showing":[67],"$$m_1/k+m_2/k^2+\\ffrac{k-1}{2k^2}\\sqrt{2(km_1+m_2)}+O(1)$$.":[82],"This":[84],"bound":[85],"is":[86],"tight":[87],"up":[88],"to":[89],"O":[90],"(1).":[91]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
