{"id":"https://openalex.org/W2062659098","doi":"https://doi.org/10.1007/s00453-010-9442-9","title":"Complexity of Finding Graph Roots with\u00a0Girth Conditions","display_name":"Complexity of Finding Graph Roots with\u00a0Girth Conditions","publication_year":2010,"publication_date":"2010-09-13","ids":{"openalex":"https://openalex.org/W2062659098","doi":"https://doi.org/10.1007/s00453-010-9442-9","mag":"2062659098"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-010-9442-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-010-9442-9","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","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/A5040621470","display_name":"Babak Farzad","orcid":null},"institutions":[{"id":"https://openalex.org/I186803428","display_name":"Brock University","ror":"https://ror.org/056am2717","country_code":"CA","type":"education","lineage":["https://openalex.org/I186803428"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Babak Farzad","raw_affiliation_strings":["Department of Mathematics, Brock University, Saint Catharines, Canada","Brock University, Department of Mathematics, Saint Catharines, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Brock University, Saint Catharines, Canada","institution_ids":["https://openalex.org/I186803428"]},{"raw_affiliation_string":"Brock University, Department of Mathematics, Saint Catharines, Canada#TAB#","institution_ids":["https://openalex.org/I186803428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008440961","display_name":"Lap Chi Lau","orcid":null},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lap Chi Lau","raw_affiliation_strings":["Department of Computer Science and Engineering, The Chinese University of Hong Kong, Hong Kong, Hong Kong","The Chinese University of Hong Kong, Department of Computer Science and Engineering, Hong Kong, Hong Kong#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, The Chinese University of Hong Kong, Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"The Chinese University of Hong Kong, Department of Computer Science and Engineering, Hong Kong, Hong Kong#TAB#","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072055012","display_name":"Van Bang L\u00ea","orcid":"https://orcid.org/0000-0002-3303-8326"},"institutions":[{"id":"https://openalex.org/I4665924","display_name":"University of Rostock","ror":"https://ror.org/03zdwsf69","country_code":"DE","type":"education","lineage":["https://openalex.org/I4665924"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Van Bang Le","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t Rostock, Rostock, Germany","Universit\u00e4t Rostock, Institut f\u00fcr Informatik, Rostock, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t Rostock, Rostock, Germany","institution_ids":["https://openalex.org/I4665924"]},{"raw_affiliation_string":"Universit\u00e4t Rostock, Institut f\u00fcr Informatik, Rostock, Germany","institution_ids":["https://openalex.org/I4665924"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042086639","display_name":"Nguyen Ngoc Tuy","orcid":null},"institutions":[{"id":"https://openalex.org/I4210159515","display_name":"H\u1ed3ng \u0110\u1ee9c University","ror":"https://ror.org/05dp8mg49","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210159515"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Nguyen Ngoc Tuy","raw_affiliation_strings":["Department of Computer Science, Hong Duc University, Thanh Hoa City, Vietnam","Hong Duc University, Department of Computer Science, Thanh Hoa City, Vietnam#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Hong Duc University, Thanh Hoa City, Vietnam","institution_ids":["https://openalex.org/I4210159515"]},{"raw_affiliation_string":"Hong Duc University, Department of Computer Science, Thanh Hoa City, Vietnam#TAB#","institution_ids":["https://openalex.org/I4210159515"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040621470"],"corresponding_institution_ids":["https://openalex.org/I186803428"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.6834,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.71666358,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"62","issue":"1-2","first_page":"38","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":1.0,"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":1.0,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994999766349792,"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":0.8106484413146973},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7551635503768921},{"id":"https://openalex.org/keywords/girth","display_name":"Girth (graph theory)","score":0.580318808555603},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5734584331512451},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.526349663734436},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4918067753314972},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.4222016930580139},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.27245423197746277},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11982542276382446}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8106484413146973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7551635503768921},{"id":"https://openalex.org/C2777434295","wikidata":"https://www.wikidata.org/wiki/Q959831","display_name":"Girth (graph theory)","level":2,"score":0.580318808555603},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5734584331512451},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.526349663734436},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4918067753314972},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.4222016930580139},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.27245423197746277},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11982542276382446}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00453-010-9442-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-010-9442-9","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.318.8391","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.318.8391","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cse.cuhk.edu.hk/~chi/papers/girth.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1851204491","https://openalex.org/W1979064908","https://openalex.org/W1979545228","https://openalex.org/W1979740015","https://openalex.org/W1987143101","https://openalex.org/W1991858502","https://openalex.org/W2011039300","https://openalex.org/W2018074536","https://openalex.org/W2025662810","https://openalex.org/W2058105885","https://openalex.org/W2068718955","https://openalex.org/W2072183163","https://openalex.org/W2083165612","https://openalex.org/W2087058366","https://openalex.org/W2089417393","https://openalex.org/W2130662375","https://openalex.org/W2143474538","https://openalex.org/W2912101389","https://openalex.org/W2952029290","https://openalex.org/W4285719527","https://openalex.org/W4299866835"],"related_works":["https://openalex.org/W2226543729","https://openalex.org/W2350445681","https://openalex.org/W1011823202","https://openalex.org/W1979147290","https://openalex.org/W2963201929","https://openalex.org/W2022023572","https://openalex.org/W2059929223","https://openalex.org/W2116933840","https://openalex.org/W1984128946","https://openalex.org/W1528582406"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}