{"id":"https://openalex.org/W1568872227","doi":"https://doi.org/10.37236/2110","title":"Edge-Decomposition of Graphs into Copies of a Tree with Four Edges","display_name":"Edge-Decomposition of Graphs into Copies of a Tree with Four Edges","publication_year":2014,"publication_date":"2014-03-17","ids":{"openalex":"https://openalex.org/W1568872227","doi":"https://doi.org/10.37236/2110","mag":"1568872227"},"language":"en","primary_location":{"id":"doi:10.37236/2110","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2110","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i1p55/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/v21i1p55/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018859813","display_name":"J\u00e1nos Bar\u00e1t","orcid":"https://orcid.org/0000-0002-8474-487X"},"institutions":[{"id":"https://openalex.org/I4210153302","display_name":"Geometric (India)","ror":"https://ror.org/04xprjz26","country_code":"IN","type":"company","lineage":["https://openalex.org/I4210153302"]},{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU","IN"],"is_corresponding":true,"raw_author_name":"J\u00e1nos Bar\u00e1t","raw_affiliation_strings":["MTA-ELTE Geometric and Algebraic Combinatorics Research Group","MTA\u2013ELTE Geometric and Algebraic Combinatorics Research Group"],"affiliations":[{"raw_affiliation_string":"MTA-ELTE Geometric and Algebraic Combinatorics Research Group","institution_ids":["https://openalex.org/I4210153302"]},{"raw_affiliation_string":"MTA\u2013ELTE Geometric and Algebraic Combinatorics Research Group","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071291505","display_name":"D\u00e1niel Gerbner","orcid":"https://orcid.org/0000-0001-7080-2883"},"institutions":[{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"funder","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"D\u00e1niel Gerbner","raw_affiliation_strings":["Hungarian Academy of Sciences (MTA)"],"affiliations":[{"raw_affiliation_string":"Hungarian Academy of Sciences (MTA)","institution_ids":["https://openalex.org/I7597260"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018859813"],"corresponding_institution_ids":["https://openalex.org/I106118109","https://openalex.org/I4210153302"],"apc_list":null,"apc_paid":null,"fwci":4.2546,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.94611131,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"21","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","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"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9070821404457092},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8292628526687622},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6293838024139404},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6247875094413757},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49313992261886597},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.48124930262565613},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.43994849920272827},{"id":"https://openalex.org/keywords/structured-program-theorem","display_name":"Structured program theorem","score":0.41501832008361816},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4039589762687683}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9070821404457092},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8292628526687622},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6293838024139404},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6247875094413757},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49313992261886597},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.48124930262565613},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.43994849920272827},{"id":"https://openalex.org/C180375552","wikidata":"https://www.wikidata.org/wiki/Q2635326","display_name":"Structured program theorem","level":2,"score":0.41501832008361816},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4039589762687683},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/2110","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2110","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i1p55/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/2110","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2110","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i1p55/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1212534952","display_name":null,"funder_award_id":"78439","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"},{"id":"https://openalex.org/G6075865506","display_name":null,"funder_award_id":"PD 75837","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"},{"id":"https://openalex.org/G7292312953","display_name":null,"funder_award_id":"PD 109537","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"},{"id":"https://openalex.org/G7541558665","display_name":null,"funder_award_id":"Bolyai","funder_id":"https://openalex.org/F4320322192","funder_display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia"},{"id":"https://openalex.org/G8284597927","display_name":null,"funder_award_id":"J\u00e1nos Bolyai","funder_id":"https://openalex.org/F4320322192","funder_display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia"},{"id":"https://openalex.org/G8442778306","display_name":null,"funder_award_id":"PD 109537","funder_id":"https://openalex.org/F4320322192","funder_display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8959004","display_name":null,"funder_award_id":"J\u00e1nos","funder_id":"https://openalex.org/F4320322192","funder_display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"},{"id":"https://openalex.org/F4320322192","display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia","ror":"https://ror.org/02ks8qq67"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1568872227.pdf","grobid_xml":"https://content.openalex.org/works/W1568872227.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1964448775","https://openalex.org/W1964553741","https://openalex.org/W1989348900","https://openalex.org/W2030926222","https://openalex.org/W2041502697","https://openalex.org/W2042706982","https://openalex.org/W2048314545","https://openalex.org/W2058858486","https://openalex.org/W2156047590","https://openalex.org/W2160500265","https://openalex.org/W2168495785","https://openalex.org/W4235338656","https://openalex.org/W4242000175","https://openalex.org/W6814196047"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2372768926","https://openalex.org/W2999799752","https://openalex.org/W2567825307","https://openalex.org/W2054458431","https://openalex.org/W3013576436","https://openalex.org/W2044312329"],"abstract_inverted_index":{"We":[0,91],"study":[1],"edge-decompositions":[2],"of":[3,9,53,57,100,115],"highly":[4],"connected":[5],"graphs":[6],"into":[7,51],"copies":[8,52],"a":[10,30,39,49,97,108,117,126,129,135,148],"given":[11],"tree.":[12],"In":[13],"particular":[14],"we":[15],"attack":[16],"the":[17,66,84,112,121,144],"following":[18],"conjecture":[19,67],"by":[20,78,103],"Bar\u00e1t":[21],"and":[22,42],"Thomassen:":[23],"for":[24,68,140],"each":[25],"tree":[26,86,122],"$T$,":[27],"there":[28],"exists":[29],"natural":[31],"number":[32],"$k_T$":[33],"such":[34,116],"that":[35,93],"if":[36,94],"$G$":[37,95,106],"is":[38,62,96,111,123],"$k_T$-edge-connected":[40],"graph,":[41],"$|E(T)|$":[43],"divides":[44],"$|E(G)|$,":[45],"then":[46,105],"$E(G)$":[47],"has":[48,74,107],"decomposition":[50,138],"$T$.":[54],"As":[55],"one":[56],"our":[58],"main":[59],"results":[60],"it":[61],"sufficient":[63],"to":[64],"prove":[65,92],"bipartite":[69],"graphs.":[70],"The":[71],"same":[72,145],"result":[73,146],"been":[75],"independently":[76],"obtained":[77],"Carsten":[79,132],"Thomassen":[80,133],"(2013).Let":[81],"$Y$":[82],"be":[83],"unique":[85],"with":[87,147],"degree":[88],"sequence":[89],"$(1,1,1,2,3)$.":[90],"$191$-edge-connected":[98],"graph":[99],"size":[101],"divisible":[102],"$4$,":[104],"$Y$-decomposition.":[109],"This":[110],"first":[113],"instance":[114],"theorem,":[118],"in":[119],"which":[120,142],"different":[124],"from":[125],"path":[127],"or":[128],"star.":[130],"Recently":[131],"proved":[134],"more":[136],"general":[137],"theorem":[139],"bistars,":[141],"yields":[143],"worse":[149],"constant.":[150]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":8}],"updated_date":"2026-03-15T09:29:46.208133","created_date":"2025-10-10T00:00:00"}