{"id":"https://openalex.org/W2133767970","doi":"https://doi.org/10.1109/34.387483","title":"A metric between unrooted and unordered trees and its bottom-up computing method","display_name":"A metric between unrooted and unordered trees and its bottom-up computing method","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W2133767970","doi":"https://doi.org/10.1109/34.387483","mag":"2133767970"},"language":"en","primary_location":{"id":"doi:10.1109/34.387483","is_oa":false,"landing_page_url":"https://doi.org/10.1109/34.387483","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","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/A5017958083","display_name":"Eiichi Tanaka","orcid":"https://orcid.org/0000-0003-2850-326X"},"institutions":[{"id":"https://openalex.org/I65837984","display_name":"Kobe University","ror":"https://ror.org/03tgsfw79","country_code":"JP","type":"education","lineage":["https://openalex.org/I65837984"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"E. Tanaka","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, Faculty of Engineering, Kobe University, Kobe, Japan","[Dept. of Electr. & Electron. Eng., Kobe Univ., Japan]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, Faculty of Engineering, Kobe University, Kobe, Japan","institution_ids":["https://openalex.org/I65837984"]},{"raw_affiliation_string":"[Dept. of Electr. & Electron. Eng., Kobe Univ., Japan]","institution_ids":["https://openalex.org/I65837984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017958083"],"corresponding_institution_ids":["https://openalex.org/I65837984"],"apc_list":null,"apc_paid":null,"fwci":1.4615,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.82903575,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"16","issue":"12","first_page":"1233","last_page":"1238"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9988999962806702,"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":0.9988999962806702,"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":0.993399977684021,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7695191502571106},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5603097677230835},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5106580853462219},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4717336893081665},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.43153342604637146},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.4104209542274475},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3721376955509186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27958083152770996},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.20717042684555054},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.11287173628807068}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7695191502571106},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5603097677230835},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5106580853462219},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4717336893081665},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.43153342604637146},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.4104209542274475},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3721376955509186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27958083152770996},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.20717042684555054},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.11287173628807068},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/34.387483","is_oa":false,"landing_page_url":"https://doi.org/10.1109/34.387483","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W658719169","https://openalex.org/W1975009259","https://openalex.org/W1977464943","https://openalex.org/W1977866540","https://openalex.org/W1993650272","https://openalex.org/W2021088858","https://openalex.org/W2034974600","https://openalex.org/W2035143052","https://openalex.org/W2035582095","https://openalex.org/W2048001624","https://openalex.org/W2054168378","https://openalex.org/W2056580937","https://openalex.org/W2057294899","https://openalex.org/W2125690626","https://openalex.org/W2133767970","https://openalex.org/W2163517496","https://openalex.org/W3147295069","https://openalex.org/W3148589692","https://openalex.org/W6621940847"],"related_works":["https://openalex.org/W4255837520","https://openalex.org/W2387011115","https://openalex.org/W4234808182","https://openalex.org/W4255628145","https://openalex.org/W2382043075","https://openalex.org/W2809151339","https://openalex.org/W2808854221","https://openalex.org/W2216913934","https://openalex.org/W2360673138","https://openalex.org/W4297851895"],"abstract_inverted_index":{"Proposes":[0],"a":[1,84],"distance":[2,41],"measure":[3],"between":[4,20,42],"unrooted":[5],"and":[6,46,58,70,76,89,93],"unordered":[7],"trees":[8,43,67],"based":[9],"on":[10],"the":[11,21,40,62,80,104],"strongly":[12],"structure-preserving":[13],"mapping":[14],"(SSPM).":[15],"SSPM":[16],"can":[17],"make":[18],"correspondences":[19],"vertices":[22,65],"of":[23,26,38,64,83,103],"similar":[24],"substructures":[25],"given":[27],"structures":[28],"more":[29],"strictly":[30],"than":[31],"previously":[32],"proposed":[33],"mappings.":[34],"The":[35,100],"time":[36],"complexity":[37,102],"computing":[39],"T/sub":[44,47,68,71,87,90],"a/":[45,57,69,75,88],"b/":[48,60,78,97],"is":[49,98,106],"O(m/sub":[50],"bsup":[51],"3/N/sub":[52],"a/N/sub":[53,108],"b/),":[54],"where":[55],"N/sub":[56,59],"are":[61,79],"number":[63],"in":[66,86],"b/,":[72,91],"respectively;":[73,92],"m/sub":[74,77,94],"maximum":[81],"degrees":[82],"vertex":[85],"aspl":[95],"les/m/sub":[96],"assumed.":[99],"space":[101],"method":[105],"O(N/sub":[107],"b/).<":[109],"<ETX":[110],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[111],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">&gt;</ETX>":[112]},"counts_by_year":[{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}