{"id":"https://openalex.org/W2152662207","doi":"https://doi.org/10.37236/2882","title":"Edge-Disjoint Induced Subgraphs with Given Minimum Degree","display_name":"Edge-Disjoint Induced Subgraphs with Given Minimum Degree","publication_year":2013,"publication_date":"2013-03-08","ids":{"openalex":"https://openalex.org/W2152662207","doi":"https://doi.org/10.37236/2882","mag":"2152662207"},"language":"en","primary_location":{"id":"doi:10.37236/2882","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2882","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p53/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p53/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026016357","display_name":"Raphael Yuster","orcid":"https://orcid.org/0000-0001-7550-6506"},"institutions":[{"id":"https://openalex.org/I91203450","display_name":"University of Haifa","ror":"https://ror.org/02f009v59","country_code":"IL","type":"education","lineage":["https://openalex.org/I91203450"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Raphael Yuster","raw_affiliation_strings":["Department of Mathematics University of Haifa Haifa 31905, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics University of Haifa Haifa 31905, Israel","institution_ids":["https://openalex.org/I91203450"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026016357"],"corresponding_institution_ids":["https://openalex.org/I91203450"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.18498884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998999834060669,"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":0.9993000030517578,"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"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9975000023841858,"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":0.915088415145874},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8580195903778076},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7266984581947327},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6384648680686951},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.510810375213623},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.49421384930610657},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48905929923057556},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.488724946975708},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46692439913749695},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05580076575279236}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.915088415145874},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8580195903778076},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7266984581947327},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6384648680686951},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.510810375213623},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.49421384930610657},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48905929923057556},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.488724946975708},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46692439913749695},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05580076575279236},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/2882","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2882","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p53/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.375.8279","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.375.8279","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://research.haifa.ac.il/~raphy/papers/pack-min-deg.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/2882","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2882","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p53/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2152662207.pdf","grobid_xml":"https://content.openalex.org/works/W2152662207.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W130689240","https://openalex.org/W755787837","https://openalex.org/W1510730180","https://openalex.org/W1599335667","https://openalex.org/W1974181313","https://openalex.org/W2068871408","https://openalex.org/W2084709397","https://openalex.org/W2088622619","https://openalex.org/W2136086442","https://openalex.org/W2592881151","https://openalex.org/W2952106247","https://openalex.org/W3213692093","https://openalex.org/W6671742139"],"related_works":["https://openalex.org/W2487162673","https://openalex.org/W2942366970","https://openalex.org/W2793211469","https://openalex.org/W2949152769","https://openalex.org/W4372354731","https://openalex.org/W1971174658","https://openalex.org/W2020053772","https://openalex.org/W2035433397","https://openalex.org/W2072510267","https://openalex.org/W4367190712"],"abstract_inverted_index":{"Let":[0],"$h$":[1],"be":[2,101],"a":[3,8],"given":[4],"positive":[5],"integer.":[6],"For":[7,57],"graph":[9],"with":[10,53],"$n$":[11],"vertices":[12],"and":[13],"$m$":[14],"edges,":[15],"what":[16],"is":[17,41,48,98],"the":[18],"maximum":[19],"number":[20,40],"of":[21,91],"pairwise":[22,71],"edge-disjoint":[23,72],"{\\em":[24],"induced}":[25],"subgraphs,":[26,74],"each":[27,75],"having":[28,76],"minimum":[29,77],"degree":[30,78],"at":[31,79,93],"least":[32,80],"$h$?":[33],"There":[34],"are":[35,68],"examples":[36],"for":[37,50],"which":[38,97],"this":[39,46],"$O(m^2/n^2)$.":[42],"We":[43],"prove":[44],"that":[45],"bound":[47],"achievable":[49],"all":[51,58],"graphs":[52],"polynomially":[54],"many":[55],"edges.":[56],"$\\epsilon":[59],">":[60],"0$,":[61],"if":[62],"$m":[63],"\\ge":[64],"n^{1+\\epsilon}$,":[65],"then":[66],"there":[67],"always":[69],"$\\Omega(m^2/n^2)$":[70],"induced":[73],"$h$.":[81],"Furthermore,":[82],"any":[83],"two":[84],"subgraphs":[85],"intersect":[86],"in":[87],"an":[88],"independent":[89],"set":[90],"size":[92],"most":[94],"$1+":[95],"O(n^3/m^2)$,":[96],"shown":[99],"to":[100],"asymptotically":[102],"optimal.":[103]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}