{"id":"https://openalex.org/W2079377292","doi":"https://doi.org/10.1002/(sici)1097-0118(199909)32:1<27::aid-jgt3>3.0.co;2-c","title":"Decomposing large graphs with small graphs of high density","display_name":"Decomposing large graphs with small graphs of high density","publication_year":1999,"publication_date":"1999-09-01","ids":{"openalex":"https://openalex.org/W2079377292","doi":"https://doi.org/10.1002/(sici)1097-0118(199909)32:1<27::aid-jgt3>3.0.co;2-c","mag":"2079377292"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0118(199909)32:1<27::aid-jgt3>3.0.co;2-c","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199909)32:1<27::aid-jgt3>3.0.co;2-c","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","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/A5026016357","display_name":"Raphael Yuster","orcid":"https://orcid.org/0000-0001-7550-6506"},"institutions":[{"id":"https://openalex.org/I107326029","display_name":"Oranim Academic College of Education","ror":"https://ror.org/01539v588","country_code":"IL","type":"education","lineage":["https://openalex.org/I107326029"]},{"id":"https://openalex.org/I113979032","display_name":"Twitter (United States)","ror":"https://ror.org/04wt43v05","country_code":"US","type":"company","lineage":["https://openalex.org/I113979032"]},{"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","US"],"is_corresponding":true,"raw_author_name":"Raphael Yuster","raw_affiliation_strings":["Department of Mathematics, University of Haifa-Oranim, Tivon 36006, Israel","http://www.math.tau.ac.il/\u223craphy","Department of Mathematics, University of Haifa-Oranim, Tivon 36006, Israel ("],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Haifa-Oranim, Tivon 36006, Israel","institution_ids":["https://openalex.org/I107326029","https://openalex.org/I91203450"]},{"raw_affiliation_string":"http://www.math.tau.ac.il/\u223craphy","institution_ids":["https://openalex.org/I113979032"]},{"raw_affiliation_string":"Department of Mathematics, University of Haifa-Oranim, Tivon 36006, Israel (","institution_ids":["https://openalex.org/I91203450"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026016357"],"corresponding_institution_ids":["https://openalex.org/I107326029","https://openalex.org/I113979032","https://openalex.org/I91203450"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.4664,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66791439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"1","first_page":"27","last_page":"40"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9990000128746033,"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":0.881433367729187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8095102310180664},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5568832159042358},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4771563410758972},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.4144875109195709},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37207573652267456},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.04591551423072815}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.881433367729187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8095102310180664},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5568832159042358},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4771563410758972},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.4144875109195709},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37207573652267456},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.04591551423072815},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1002/(sici)1097-0118(199909)32:1<27::aid-jgt3>3.0.co;2-c","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199909)32:1<27::aid-jgt3>3.0.co;2-c","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"},{"id":"doi:10.1002/(sici)1097-0118(199909)32:1<27::aid-jgt3>3.3.co;2-3","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199909)32:1<27::aid-jgt3>3.3.co;2-3","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.31.4130","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.31.4130","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.tau.ac.il/~raphy/decdense.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.375.6590","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.375.6590","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/decdense.pdf","raw_type":"text"},{"id":"mag:2079377292","is_oa":false,"landing_page_url":"http://research.haifa.ac.il/~raphy/papers/decdense.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Journal of Graph Theory","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W795302121","https://openalex.org/W1504418244","https://openalex.org/W1510730180","https://openalex.org/W1636454816","https://openalex.org/W2002540991","https://openalex.org/W2014956840","https://openalex.org/W2026218370","https://openalex.org/W2068871408","https://openalex.org/W2592570088","https://openalex.org/W3213692093","https://openalex.org/W4253428136"],"related_works":["https://openalex.org/W2141553945","https://openalex.org/W2081567714","https://openalex.org/W1989537177","https://openalex.org/W1968296247","https://openalex.org/W3125983941","https://openalex.org/W2086831625","https://openalex.org/W2002645285","https://openalex.org/W2189218832","https://openalex.org/W2100020751","https://openalex.org/W1966455700","https://openalex.org/W2060445610","https://openalex.org/W1560405150","https://openalex.org/W3088736520","https://openalex.org/W3119622246","https://openalex.org/W2016258894","https://openalex.org/W2033148057","https://openalex.org/W2111038853","https://openalex.org/W2171954728","https://openalex.org/W2438017636","https://openalex.org/W2004713831"],"abstract_inverted_index":{"It":[0],"is":[1,44],"shown":[2],"that":[3],"for":[4,10],"every":[5,11],"positive":[6],"integer":[7],"h,":[8],"and":[9,27,55],"\u03f5":[12,34],">":[13],"0,":[14],"there":[15],"are":[16],"graphs":[17],"H":[18],"=":[19,41],")VH":[20],"EH)":[21],"with":[22,28,35,47],"at":[23,30,50],"least":[24,31,51],"h":[25],"vertices":[26],"density":[29],"0.5":[32],"-":[33],"the":[36,67],"following":[37],"property:":[38],"If":[39],"G":[40,60],"(VG,":[42],"EG)":[43],"any":[45],"graph":[46],"minimum":[48],"degree":[49],"(1":[52],"+":[53],"o(1))":[54],"|EH|":[56],"divides":[57],"|EG|,":[58],"then":[59],"has":[61],"an":[62],"H-decomposition.":[63],"This":[64],"result":[65],"extends":[66],"results":[68],"of":[69],"[R.":[70,85],"M.":[71],"Wilson,":[72],"Cong":[73],"Numer":[74],"XV":[75],"(1925),":[76],"647\u2013659]":[77],"[T.":[78],"Gustavsson,":[79],"Ph.D.":[80],"Thesis,":[81],"U.":[82],"Stockholm,":[83],"1991]":[84],"Yuster,":[86],"Random":[87],"Struc":[88],"Algorith,":[89],"12":[90],"(1998),":[91],"237\u2013251].":[92],"\u00a9":[93],"1999":[94,105],"John":[95],"Wiley":[96],"&":[97],"Sons,":[98],"Inc.":[99],"J":[100],"Graph":[101],"Theory":[102],"32:":[103],"27\u201340,":[104]},"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
