{"id":"https://openalex.org/W1077377","doi":"https://doi.org/10.46298/dmtcs.3586","title":"A note on the fragmentation of a stable tree","display_name":"A note on the fragmentation of a stable tree","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1077377","doi":"https://doi.org/10.46298/dmtcs.3586","mag":"1077377"},"language":"en","primary_location":{"id":"doi:10.46298/dmtcs.3586","doi":"https://doi.org/10.46298/dmtcs.3586","is_oa":true,"landing_page_url":"https://doi.org/10.46298/dmtcs.3586","pdf_url":null,"source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","ddh","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics & Theoretical Computer Science","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.46298/dmtcs.3586","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030966736","display_name":"Philippe Marchal","orcid":"https://orcid.org/0000-0001-8236-5713","observed_orcids":["https://orcid.org/0000-0001-8236-5713"]},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]},{"id":"https://openalex.org/I4210127506","display_name":"D\u00e9partement de math\u00e9matiques et applications","ror":"https://ror.org/03k9z2963","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210127506"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Philippe Marchal","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et Applications - ENS Paris"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Applications - ENS Paris","institution_ids":["https://openalex.org/I29607241","https://openalex.org/I4210127506"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030966736"],"corresponding_institution_ids":["https://openalex.org/I29607241","https://openalex.org/I4210127506"],"apc_list":null,"apc_paid":null,"fwci":1.1214,"has_fulltext":true,"cited_by_count":37,"citation_normalized_percentile":{"value":0.69188192,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":98},"biblio":{"volume":"DMTCS Proceedings vol. AI,...","issue":"Proceedings","first_page":"489","last_page":"500"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.0003000000142492354,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/random-trees","display_name":"random trees","score":0.6100000143051147},{"id":"https://openalex.org/keywords/recursive-algorithm","display_name":"recursive algorithm","score":0.6830000281333923},{"id":"https://openalex.org/keywords/fragmentation-processes","display_name":"fragmentation processes","score":0.6129999756813049}],"concepts":[{"id":"https://openalex.org/C191015642","wikidata":"https://www.wikidata.org/wiki/Q1132459","display_name":"Fragmentation (computing)","level":2,"score":0.8423395156860352},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6405506134033203},{"id":"https://openalex.org/C2776839635","wikidata":"https://www.wikidata.org/wiki/Q14942679","display_name":"Random tree","level":4,"score":0.5317486524581909},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.48110026121139526},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44745323061943054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44593101739883423},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.43119120597839355},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42321449518203735},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37902504205703735},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36002200841903687},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17140033841133118},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.11870884895324707},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05569177865982056},{"id":"https://openalex.org/C81074085","wikidata":"https://www.wikidata.org/wiki/Q366872","display_name":"Motion planning","level":3,"score":0.0},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.46298/dmtcs.3586","doi":"https://doi.org/10.46298/dmtcs.3586","is_oa":true,"landing_page_url":"https://doi.org/10.46298/dmtcs.3586","pdf_url":null,"source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","ddh","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics & Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.595.827","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.595.827","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/download/dmAI0133/2371/","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.696.2847","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.696.2847","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dmtcs.org/pdfpapers/dmAI0133.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01194672v1","doi":null,"is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01194672v1/document","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics and Theoretical Computer Science, 2008, DMTCS Proceedings, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science, pp.489-500. ⟨10.46298/dmtcs.3586⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:bea723ea92bb48cb8f2a615983c41c24","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/bea723ea92bb48cb8f2a615983c41c24","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AI,..., Iss Proceedings (2008)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.46298/dmtcs.3586","doi":"https://doi.org/10.46298/dmtcs.3586","is_oa":true,"landing_page_url":"https://doi.org/10.46298/dmtcs.3586","pdf_url":null,"source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","ddh","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics & Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W12212214","https://openalex.org/W300201706","https://openalex.org/W1503350875","https://openalex.org/W1551893515","https://openalex.org/W1623834045","https://openalex.org/W1974210916","https://openalex.org/W1986567569","https://openalex.org/W2047042737","https://openalex.org/W2095181329","https://openalex.org/W2110099831","https://openalex.org/W2596148805","https://openalex.org/W6600642996","https://openalex.org/W6612924900"],"related_works":["https://openalex.org/W2596148805","https://openalex.org/W3202585420","https://openalex.org/W7096380056","https://openalex.org/W4294254581","https://openalex.org/W2464257288","https://openalex.org/W1974210916","https://openalex.org/W4388114486","https://openalex.org/W7097834492","https://openalex.org/W7099660045","https://openalex.org/W4392523507"],"abstract_inverted_index":{"We":[0,18],"introduce":[1],"a":[2,14,20,23],"recursive":[3],"algorithm":[4],"generating":[5],"random":[6],"trees,":[7],"which":[8],"we":[9],"identify":[10],"as":[11],"skeletons":[12],"of":[13,22],"continuous,":[15],"stable":[16],"tree.":[17],"deduce":[19],"representation":[21],"fragmentation":[24],"process":[25],"on":[26],"these":[27],"trees.":[28]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}