{"id":"https://openalex.org/W2060756574","doi":"https://doi.org/10.1137/s0097539797324308","title":"On Regular Tree Embeddings","display_name":"On Regular Tree Embeddings","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2060756574","doi":"https://doi.org/10.1137/s0097539797324308","mag":"2060756574"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539797324308","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539797324308","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5100442500","display_name":"Weimin Chen","orcid":"https://orcid.org/0000-0001-8331-933X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Weimin Chen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5049573691","display_name":"Volker Turau","orcid":"https://orcid.org/0000-0001-9964-8816"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Volker Turau","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100442500"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14156908,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"1","first_page":"288","last_page":"301"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9997000098228455,"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/T12326","display_name":"Network Packet Processing and Optimization","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T12029","display_name":"DNA and Biological Computing","score":0.9983000159263611,"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":0.7428303360939026},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6850903034210205},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6405555009841919},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.527445375919342},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5198007822036743},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4948503375053406},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.43845152854919434},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.418911874294281},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.373615562915802},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2210032343864441}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7428303360939026},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6850903034210205},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6405555009841919},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.527445375919342},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5198007822036743},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4948503375053406},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.43845152854919434},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.418911874294281},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.373615562915802},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2210032343864441},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0097539797324308","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539797324308","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:fraunhofer.de:N-171854","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-171854.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer IPSI","raw_type":"Journal Article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/198808","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/198808","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"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":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1965682336","https://openalex.org/W2020556510","https://openalex.org/W2036265926","https://openalex.org/W2053913299","https://openalex.org/W2069323107","https://openalex.org/W2135850471","https://openalex.org/W2157529519","https://openalex.org/W2753176400","https://openalex.org/W4212983671","https://openalex.org/W4250583475"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2369178846","https://openalex.org/W2081900870","https://openalex.org/W2082716031","https://openalex.org/W2370289839","https://openalex.org/W2933494595","https://openalex.org/W4313347705","https://openalex.org/W1568049691","https://openalex.org/W3103753037"],"abstract_inverted_index":{"Regular":[0],"trees":[1,57,122],"are":[2],"a":[3,20,104],"natural":[4],"extension":[5],"of":[6,38,71,89,103],"finite":[7],"trees,":[8],"which":[9],"have":[10],"many":[11],"applications.":[12],"The":[13],"path-embedding":[14,47,72],"problem":[15,48,73],"is":[16],"to":[17,116],"determine":[18],"whether":[19],"regular":[21,29,56,121],"tree":[22,30],"S":[23,58],"can":[24,113],"be":[25,114],"obtained":[26],"from":[27],"another":[28],"T":[31,60],"by":[32,62,125],"deleting":[33],"(probably":[34],"infinitely":[35],"many)":[36],"subtrees":[37],"T.":[39],"This":[40],"paper":[41],"explores":[42],"efficient":[43],"algorithms":[44,66],"for":[45,95,120],"the":[46,68,78,87,92,100],"in":[49,74,81,91],"ordered":[50,69],"and":[51,59,77,97],"unordered":[52,79],"trees.":[53],"Given":[54],"two":[55],"represented":[61],"rational":[63,93],"graphs,":[64],"our":[65,111],"solve":[67],"version":[70,80],"O(|E_S||E_T|)":[75],"time":[76],"O(|ES||ET|DSDT)":[82],"time.":[83],"Here":[84],"|ES|":[85],"denotes":[86,99],"number":[88],"edges":[90],"graph":[94],"S,":[96],"DS":[98],"maximum":[101],"outdegree":[102],"vertex":[105],"inS.":[106],"We":[107],"also":[108],"demonstrate":[109],"that":[110],"approach":[112],"applied":[115],"pattern":[117],"matching":[118],"problems":[119],"recently":[123],"studied":[124],"Fu":[126],"J.":[127],"Algorithms,":[128],"22":[129],"(1997),":[130],"pp.":[131],"372--391].":[132]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
