{"id":"https://openalex.org/W4207043368","doi":"https://doi.org/10.1051/ro/2022010","title":"On extremal leaf status and internal status","display_name":"On extremal leaf status and internal status","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4207043368","doi":"https://doi.org/10.1051/ro/2022010"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2022010","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2022010","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2022/01/ro210323.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2022/01/ro210323.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101541792","display_name":"Haiyan Guo","orcid":"https://orcid.org/0000-0003-1623-9019"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiyan Guo","raw_affiliation_strings":["School of Computer Science, South China Normal University, Guangzhou 510631, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, South China Normal University, Guangzhou 510631, P.R. China","institution_ids":["https://openalex.org/I187400657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049887684","display_name":"Bo Zhou","orcid":"https://orcid.org/0000-0001-7321-9554"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Zhou","raw_affiliation_strings":["School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P.R. China","institution_ids":["https://openalex.org/I187400657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I187400657"],"apc_list":null,"apc_paid":null,"fwci":0.3784,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.51464184,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"56","issue":"1","first_page":"415","last_page":"430"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11476","display_name":"Graph theory and applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.9980000257492065,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9891999959945679,"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/mathematics","display_name":"Mathematics","score":0.7836458683013916},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.68609219789505},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5741203427314758},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5122668147087097},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.433192640542984},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2755120098590851},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.13080433011054993}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7836458683013916},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.68609219789505},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5741203427314758},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5122668147087097},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.433192640542984},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2755120098590851},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.13080433011054993}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1051/ro/2022010","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2022010","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2022/01/ro210323.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/ro/2022010","is_oa":false,"landing_page_url":"https://www.rairo-ro.org/10.1051/ro/2022010/pdf","pdf_url":"https://www.rairo-ro.org/10.1051/ro/2022010/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/ro/2022010","raw_type":"Text"},{"id":"pmh:oai:numdam.org:RO_2022__56_1_415_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ro/2022010/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1051/ro/2022010","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2022010","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2022/01/ro210323.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5199999809265137,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G1402700033","display_name":null,"funder_award_id":"12071158","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4207043368.pdf","grobid_xml":"https://content.openalex.org/works/W4207043368.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1964609880","https://openalex.org/W1990287270","https://openalex.org/W2039913993","https://openalex.org/W2044242598","https://openalex.org/W2055572845","https://openalex.org/W2060880853","https://openalex.org/W2118175818","https://openalex.org/W2165749561","https://openalex.org/W2401295885","https://openalex.org/W2580669878","https://openalex.org/W2589794168","https://openalex.org/W2963675858","https://openalex.org/W3006488477","https://openalex.org/W3033218037","https://openalex.org/W3128841392","https://openalex.org/W3197222710","https://openalex.org/W3201516582"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W2346500824","https://openalex.org/W2408489498","https://openalex.org/W4299532214","https://openalex.org/W2519898166","https://openalex.org/W3172957635","https://openalex.org/W2964314221","https://openalex.org/W2397412345","https://openalex.org/W4381094520","https://openalex.org/W3111310291"],"abstract_inverted_index":{"For":[0],"a":[1,5,40,63],"vertex":[2],"u":[3,15,23],"of":[4,14,19,30,39,50,53,62,73,76],"tree":[6,41,64],"T":[7,31,42,54,65,77],",":[8],"the":[9,17,20,44,67,84,105],"leaf":[10,37,48,92],"(internal,":[11],"respectively)":[12,29,36,47,59,70,87],"status":[13,38,61,93],"is":[16,43,66],"sum":[18],"distances":[21],"from":[22],"to":[24],"all":[25,51,74],"leaves":[26],"(internal":[27],"vertices,":[28],".":[32,55,78],"The":[33,56],"minimum":[34,45,57,68],"(maximum,":[35,46,58,69],"statuses":[49,72],"vertices":[52,75],"internal":[60,71,99],"We":[79,102],"characterize":[80],"those":[81],"trees":[82,110],"with":[83,111],"smallest":[85],"(largest,":[86],"extremal":[88,95,107],"(minimum":[89,96],"and":[90,94,97],"maximum)":[91,98],"status,":[100],"respectively.":[101],"also":[103],"study":[104],"corresponding":[106],"problems":[108],"for":[109],"given":[112],"parameters,":[113],"including":[114],"diameter":[115],"or":[116],"maximum":[117],"degree.":[118]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}