{"id":"https://openalex.org/W2955287275","doi":"https://doi.org/10.4230/lipics.cpm.2019.28","title":"A Rearrangement Distance for Fully-Labelled Trees","display_name":"A Rearrangement Distance for Fully-Labelled Trees","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2955287275","doi":"https://doi.org/10.4230/lipics.cpm.2019.28","mag":"2955287275"},"language":"en","primary_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:10499","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2019.28","pdf_url":null,"source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"InProceedings"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2019.28","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085190716","display_name":"Giulia Bernardini","orcid":"https://orcid.org/0000-0001-6647-088X"},"institutions":[{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Bernardini, Giulia","raw_affiliation_strings":["DISCo, Universit\u00e0 degli Studi Milano - Bicocca, Italy","University of Milano-Bicocca, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"DISCo, Universit\u00e0 degli Studi Milano - Bicocca, Italy","institution_ids":["https://openalex.org/I66752286"]},{"raw_affiliation_string":"University of Milano-Bicocca, Milan, Italy","institution_ids":["https://openalex.org/I66752286"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038691764","display_name":"Paola Bonizzoni","orcid":"https://orcid.org/0000-0001-7289-4988"},"institutions":[{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Bonizzoni, Paola","raw_affiliation_strings":["DISCo, Universit\u00e0 degli Studi Milano - Bicocca, Italy","University of Milano-Bicocca, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"DISCo, Universit\u00e0 degli Studi Milano - Bicocca, Italy","institution_ids":["https://openalex.org/I66752286"]},{"raw_affiliation_string":"University of Milano-Bicocca, Milan, Italy","institution_ids":["https://openalex.org/I66752286"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059679442","display_name":"Gianluca Della Vedova","orcid":"https://orcid.org/0000-0001-5584-3089"},"institutions":[{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Della Vedova, Gianluca","raw_affiliation_strings":["DISCo, Universit\u00e0 degli Studi Milano - Bicocca, Italy","University of Milano-Bicocca, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"DISCo, Universit\u00e0 degli Studi Milano - Bicocca, Italy","institution_ids":["https://openalex.org/I66752286"]},{"raw_affiliation_string":"University of Milano-Bicocca, Milan, Italy","institution_ids":["https://openalex.org/I66752286"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026228482","display_name":"Murray Patterson","orcid":"https://orcid.org/0000-0002-4329-0234"},"institutions":[{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Patterson, Murray","raw_affiliation_strings":["DISCo, Universit\u00e0 degli Studi Milano - Bicocca, Italy","University of Milano-Bicocca, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"DISCo, Universit\u00e0 degli Studi Milano - Bicocca, Italy","institution_ids":["https://openalex.org/I66752286"]},{"raw_affiliation_string":"University of Milano-Bicocca, Milan, Italy","institution_ids":["https://openalex.org/I66752286"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5085190716"],"corresponding_institution_ids":["https://openalex.org/I66752286"],"apc_list":null,"apc_paid":null,"fwci":0.5358,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72663379,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13664","display_name":"Genome Rearrangement Algorithms","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T13664","display_name":"Genome Rearrangement Algorithms","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9772999882698059,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10015","display_name":"Genomics and Phylogenetic Studies","score":0.9671000242233276,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6555824279785156},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6368795037269592},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5981948375701904},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5896803736686707},{"id":"https://openalex.org/keywords/weight-balanced-tree","display_name":"Weight-balanced tree","score":0.5638578534126282},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.5043696165084839},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44033506512641907},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4345475435256958},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3996320366859436},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.36023008823394775},{"id":"https://openalex.org/keywords/binary-search-tree","display_name":"Binary search tree","score":0.3272749185562134},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3207492232322693},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1905224621295929}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6555824279785156},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6368795037269592},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5981948375701904},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5896803736686707},{"id":"https://openalex.org/C57900377","wikidata":"https://www.wikidata.org/wiki/Q7979855","display_name":"Weight-balanced tree","level":4,"score":0.5638578534126282},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.5043696165084839},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44033506512641907},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4345475435256958},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3996320366859436},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36023008823394775},{"id":"https://openalex.org/C91154448","wikidata":"https://www.wikidata.org/wiki/Q623818","display_name":"Binary search tree","level":3,"score":0.3272749185562134},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3207492232322693},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1905224621295929}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:drops-oai.dagstuhl.de:10499","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2019.28","pdf_url":null,"source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"InProceedings"},{"id":"pmh:oai:air.unimi.it:2434/1131919","is_oa":true,"landing_page_url":"https://hdl.handle.net/2434/1131919","pdf_url":null,"source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"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":null,"raw_type":"info:eu-repo/semantics/bookPart"},{"id":"pmh:oai:arts.units.it:11368/3019704","is_oa":true,"landing_page_url":"http://hdl.handle.net/11368/3019704","pdf_url":null,"source":{"id":"https://openalex.org/S4306400480","display_name":"ArTS Archivio della ricerca di Trieste (University of Trieste https://www.units.it/)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142444530","host_organization_name":"University of Trieste","host_organization_lineage":["https://openalex.org/I142444530"],"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":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:boa.unimib.it:10281/232040","is_oa":false,"landing_page_url":"http://hdl.handle.net/10281/232040","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":"info:eu-repo/semantics/conferenceObject"},{"id":"doi:10.4230/lipics.cpm.2019.28","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.cpm.2019.28","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""}],"best_oa_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:10499","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2019.28","pdf_url":null,"source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"InProceedings"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2934286524","https://openalex.org/W3006461061","https://openalex.org/W2962842745","https://openalex.org/W2146138435","https://openalex.org/W2411708740","https://openalex.org/W207676895","https://openalex.org/W1573898492","https://openalex.org/W2115280145","https://openalex.org/W2970479747","https://openalex.org/W3139314447","https://openalex.org/W1486030263","https://openalex.org/W3138342027","https://openalex.org/W2272295695","https://openalex.org/W2951504791","https://openalex.org/W2954894848","https://openalex.org/W2911970906","https://openalex.org/W2021615901","https://openalex.org/W2738792055","https://openalex.org/W2798371374","https://openalex.org/W172944714"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,9,23,39,81,90,109,124,153],"comparing":[3],"trees":[4,43,47,106,155],"representing":[5],"the":[6,35,79,82,84,88,91,95,102,120,154],"evolutionary":[7],"histories":[8],"cancerous":[10],"tumors":[11],"has":[12,54],"turned":[13],"out":[14],"to":[15,133],"be":[16,115],"crucial,":[17],"since":[18],"there":[19],"is":[20,131,142,156],"a":[21,55,62,148],"variety":[22],"different":[24],"methods":[25],"which":[26,77,86],"typically":[27],"infer":[28],"multiple":[29],"possible":[30],"trees.":[31,69],"A":[32],"departure":[33],"from":[34,73],"widely":[36],"studied":[37],"setting":[38],"classical":[40],"phylogenetics,":[41],"where":[42],"are":[44,48,129],"leaf-labelled,":[45],"tumoral":[46],"fully":[49],"labelled,":[50],"i.e.,":[51],"every":[52],"vertex":[53],"label.":[56],"In":[57],"this":[58,136],"paper":[59],"we":[60,99,138,146],"provide":[61],"rearrangement":[63],"distance":[64,103,125],"measure":[65],"between":[66,104],"two":[67,74,105],"fully-labelled":[68],"This":[70],"notion":[71,123],"originates":[72],"operations:":[75],"one":[76,152],"modifies":[78],"topology":[80,96],"tree,":[83],"other":[85],"permutes":[87],"labels":[89],"vertices,":[92],"hence":[93],"leaving":[94],"unaffected.":[97],"While":[98],"show":[100,139],"that":[101,140],"in":[107,117],"terms":[108],"each":[110],"such":[111],"operation":[112],"alone":[113],"can":[114],"decided":[116],"polynomial":[118],"time,":[119],"more":[121],"general":[122],"when":[126,151],"both":[127],"operations":[128],"allowed":[130],"NP-hard":[132],"decide.":[134],"Despite":[135],"result,":[137],"it":[141],"fixed-parameter":[143],"tractable,":[144],"and":[145],"give":[147],"4-approximation":[149],"algorithm":[150],"binary.":[157]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2025-10-10T00:00:00"}