{"id":"https://openalex.org/W2168495785","doi":"https://doi.org/10.1002/jgt.3190090416","title":"On partitioning the edges of graphs into connected subgraphs","display_name":"On partitioning the edges of graphs into connected subgraphs","publication_year":1985,"publication_date":"1985-12-01","ids":{"openalex":"https://openalex.org/W2168495785","doi":"https://doi.org/10.1002/jgt.3190090416","mag":"2168495785"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190090416","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190090416","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/A5110594951","display_name":"Michael J\u00fcnger","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. J\u00fcnger","raw_affiliation_strings":["Institut Fu\u0308r Operations Research, Universita\u0308t Bonn","Institut F\u00fcr Operations Research, Universit\u00e4t Bonn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Fu\u0308r Operations Research, Universita\u0308t Bonn","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Institut F\u00fcr Operations Research, Universit\u00e4t Bonn","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000892313","display_name":"Gerhard Reinelt","orcid":"https://orcid.org/0000-0002-7193-501X"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"G. Reinelt","raw_affiliation_strings":["Institut Fu\u0308r Operations Research, Universita\u0308t Bonn","Institut F\u00fcr Operations Research, Universit\u00e4t Bonn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Fu\u0308r Operations Research, Universita\u0308t Bonn","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Institut F\u00fcr Operations Research, Universit\u00e4t Bonn","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016219449","display_name":"William R. Pulleyblank","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"W. R. Pulleyblank","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.5496,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.71732523,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"9","issue":"4","first_page":"539","last_page":"549"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.996399998664856,"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":0.996399998664856,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9897000193595886,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9882000088691711,"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/partition","display_name":"Partition (number theory)","score":0.86131751537323},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8221181631088257},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7807803750038147},{"id":"https://openalex.org/keywords/existential-quantification","display_name":"Existential quantification","score":0.6295192837715149},{"id":"https://openalex.org/keywords/frequency-partition-of-a-graph","display_name":"Frequency partition of a graph","score":0.6202386617660522},{"id":"https://openalex.org/keywords/graph-partition","display_name":"Graph partition","score":0.5373303890228271},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46471747756004333},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3968864977359772},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.11320775747299194},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.09467601776123047}],"concepts":[{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.86131751537323},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8221181631088257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7807803750038147},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.6295192837715149},{"id":"https://openalex.org/C178744013","wikidata":"https://www.wikidata.org/wiki/Q5502876","display_name":"Frequency partition of a graph","level":5,"score":0.6202386617660522},{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.5373303890228271},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46471747756004333},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3968864977359772},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.11320775747299194},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.09467601776123047}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/jgt.3190090416","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190090416","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:e-archive.informatik.uni-koeln.de:817","is_oa":false,"landing_page_url":"http://e-archive.informatik.uni-koeln.de/817/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401304","display_name":"Computer Science Publication Server (University of Cologne)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I180923762","host_organization_name":"University of Cologne","host_organization_lineage":["https://openalex.org/I180923762"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1482143660","https://openalex.org/W1963619425","https://openalex.org/W2050433240","https://openalex.org/W2068987903","https://openalex.org/W2083409154","https://openalex.org/W2137952152","https://openalex.org/W2335389215","https://openalex.org/W3047924496","https://openalex.org/W4251401746","https://openalex.org/W6995966304"],"related_works":["https://openalex.org/W3139829055","https://openalex.org/W1982865350","https://openalex.org/W3183075326","https://openalex.org/W4300494273","https://openalex.org/W2615015219","https://openalex.org/W2753620285","https://openalex.org/W2168495785","https://openalex.org/W3012931947","https://openalex.org/W2583811263","https://openalex.org/W2035944803"],"abstract_inverted_index":{"Abstract":[0],"For":[1],"any":[2],"positive":[3],"integer":[4],"s":[5,8,42,59,120,124],",":[6,17,35],"an":[7,119],"\u2010partition":[9,121],"of":[10,23,68],"a":[11,21,65,79,84,94,99,109],"graph":[12],"G":[13,73,87,102,112],"=":[14,41],"(":[15],"V":[16],"E":[18,24,26,29,33,38,55,62],")":[19],"is":[20,74,88,103,113],"partition":[22],"into":[25],"1":[27,44,50,52],"\u222a":[28,32],"2":[30],"\u222a\u2026\ufe01":[31],"k":[34,48,56],"where":[36],"\u2223":[37,40,54,57],"i":[39,46,63],"for":[43,122],"\u2264":[45,47,53,58],"\u2212":[49],"and":[51,60],"each":[61],"induces":[64],"connected":[66],"subgraph":[67],"G.":[69],"We":[70],"prove":[71],"If":[72,86,101,111],"connected,":[75,90,105,115],"then":[76,91,106,116],"there":[77,92,107,117],"exists":[78,93,108,118],"2\u2010partition,":[80],"but":[81,96],"not":[82,97],"necessarily":[83,98],"3\u2010partition;":[85],"2\u2010edge":[89],"3\u2010partition,":[95],"4\u2010partition;":[100,110],"3\u2010edge":[104],"4\u2010edge":[114],"all":[123],".":[125]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":13}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
