{"id":"https://openalex.org/W1988615825","doi":"https://doi.org/10.1002/net.3230070103","title":"Finding optimum branchings","display_name":"Finding optimum branchings","publication_year":1977,"publication_date":"1977-03-01","ids":{"openalex":"https://openalex.org/W1988615825","doi":"https://doi.org/10.1002/net.3230070103","mag":"1988615825"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230070103","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230070103","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/A5051027549","display_name":"Robert E. Tarjan","orcid":"https://orcid.org/0000-0001-7505-5768"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R. E. Tarjan","raw_affiliation_strings":["Stanford University Stanford, California","Stanford University"],"affiliations":[{"raw_affiliation_string":"Stanford University Stanford, California","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051027549"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":3.5883,"has_fulltext":false,"cited_by_count":371,"citation_normalized_percentile":{"value":0.94993412,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"7","issue":"1","first_page":"25","last_page":"35"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9980000257492065,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.7587310075759888},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5756716728210449},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5347112417221069},{"id":"https://openalex.org/keywords/running-time","display_name":"Running time","score":0.48277154564857483},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.4456016421318054},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3671346604824066},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36543989181518555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32971853017807007}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7587310075759888},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5756716728210449},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5347112417221069},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.48277154564857483},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.4456016421318054},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3671346604824066},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36543989181518555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32971853017807007},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/net.3230070103","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230070103","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1969148345","https://openalex.org/W1973942323","https://openalex.org/W1974784305","https://openalex.org/W1986022261","https://openalex.org/W2014686215","https://openalex.org/W2017927472","https://openalex.org/W2027580688","https://openalex.org/W2118382442","https://openalex.org/W2128865241","https://openalex.org/W2169528473","https://openalex.org/W2752853835","https://openalex.org/W2796429899","https://openalex.org/W3142570770","https://openalex.org/W4246185962"],"related_works":["https://openalex.org/W2462424100","https://openalex.org/W2148974013","https://openalex.org/W2130873474","https://openalex.org/W2034871982","https://openalex.org/W1983409968","https://openalex.org/W2034850439","https://openalex.org/W2162624093","https://openalex.org/W1974919125","https://openalex.org/W2022364537","https://openalex.org/W2141653867"],"abstract_inverted_index":{"Abstract":[0],"Chu":[1],"and":[2,5,42],"Liu,":[3],"Edmonds,":[4],"Bock":[6],"have":[7],"independently":[8],"devised":[9],"an":[10,15,24,73],"efficient":[11],"algorithm":[12,28,64],"to":[13],"find":[14],"optimum":[16],"branching":[17],"in":[18,31,66],"a":[19,51,77],"directed":[20],"graph.":[21],"We":[22,58],"give":[23],"implementation":[25],"of":[26,54],"the":[27,36,62],"which":[29],"runs":[30,65],"0(m":[32],"logn)":[33],"time":[34,53,71],"if":[35],"problem":[37],"graph":[38],"has":[39],"n":[40],"vertices":[41],"m":[43],"edges.":[44],"A":[45],"modification":[46],"for":[47],"dense":[48],"graphs":[49],"gives":[50],"running":[52],"0(n":[55],"2":[56,69],").":[57],"also":[59],"show":[60],"that":[61],"unmodified":[63],"0(n(log":[67],"n)":[68],"+m)":[70],"on":[72],"average":[74],"graph,":[75],"assuming":[76],"uniform":[78],"probability":[79],"distribution.":[80]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":26},{"year":2014,"cited_by_count":16},{"year":2013,"cited_by_count":17},{"year":2012,"cited_by_count":22}],"updated_date":"2026-04-07T14:57:38.498316","created_date":"2025-10-10T00:00:00"}
