{"id":"https://openalex.org/W2014686215","doi":"https://doi.org/10.1002/net.3230010305","title":"A simple derivation of edmonds' algorithm for optimum branchings","display_name":"A simple derivation of edmonds' algorithm for optimum branchings","publication_year":1971,"publication_date":"1971-01-01","ids":{"openalex":"https://openalex.org/W2014686215","doi":"https://doi.org/10.1002/net.3230010305","mag":"2014686215"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230010305","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230010305","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"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":"Networks","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/A5068875104","display_name":"Richard M. Karp","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R. M. Karp","raw_affiliation_strings":["Department of Computer Science University of California Berkeley, California"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science University of California Berkeley, California","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5068875104"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":1.233,"has_fulltext":false,"cited_by_count":94,"citation_normalized_percentile":{"value":0.79571984,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"1","issue":"3","first_page":"265","last_page":"272"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9951000213623047,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9951000213623047,"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":0.9948999881744385,"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/T11106","display_name":"Data Management and Algorithms","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/polyhedron","display_name":"Polyhedron","score":0.746037483215332},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.7065376043319702},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6081973314285278},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.563617467880249},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5362052321434021},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.47763052582740784},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.43565696477890015},{"id":"https://openalex.org/keywords/combinatorial-algorithms","display_name":"Combinatorial algorithms","score":0.4268028438091278},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4196258783340454},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36080068349838257}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.746037483215332},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7065376043319702},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6081973314285278},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.563617467880249},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5362052321434021},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.47763052582740784},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.43565696477890015},{"id":"https://openalex.org/C2988809283","wikidata":"https://www.wikidata.org/wiki/Q1514868","display_name":"Combinatorial algorithms","level":2,"score":0.4268028438091278},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4196258783340454},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36080068349838257},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/net.3230010305","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230010305","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"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":"Networks","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W4246185962"],"related_works":["https://openalex.org/W2916043681","https://openalex.org/W1667647204","https://openalex.org/W2404647514","https://openalex.org/W4247536566","https://openalex.org/W2896131632","https://openalex.org/W2018477250","https://openalex.org/W2522231841","https://openalex.org/W3119814709","https://openalex.org/W2228244008","https://openalex.org/W2301583490"],"abstract_inverted_index":{"Abstract":[0],"Edmonds":[1],"[1]":[2],"has":[3,39],"given":[4],"an":[5],"algorithm":[6,21],"for":[7],"constructing":[8],"a":[9,13,33,36,45],"maximum\u2010weight":[10],"branching":[11],"in":[12],"weighted":[14],"directed":[15],"graph.":[16],"His":[17],"proof":[18,48],"that":[19,35],"the":[20,50,53],"is":[22,24],"correct":[23],"based":[25],"on":[26],"linear":[27],"programming":[28],"theory,":[29],"and":[30],"establishes":[31],"as":[32],"by\u2010product":[34],"certain":[37],"polyhedron":[38],"integer":[40],"vertices.":[41],"Here":[42],"we":[43],"give":[44],"direct":[46],"combinatorial":[47],"of":[49,52],"correctness":[51],"algorithm.":[54]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
