{"id":"https://openalex.org/W2148113067","doi":"https://doi.org/10.1007/s00453-004-1146-6","title":"Representing Trees of Higher Degree","display_name":"Representing Trees of Higher Degree","publication_year":2005,"publication_date":"2005-02-21","ids":{"openalex":"https://openalex.org/W2148113067","doi":"https://doi.org/10.1007/s00453-004-1146-6","mag":"2148113067"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-004-1146-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-004-1146-6","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","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/A5027202873","display_name":"David Benoit","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"David Benoit","raw_affiliation_strings":["Invio Bioinformatics, Inc.,\n\t        1721 Lower Water St., Halifax, Nova Scotia, B4A 1E6, Canada"],"affiliations":[{"raw_affiliation_string":"Invio Bioinformatics, Inc.,\n\t        1721 Lower Water St., Halifax, Nova Scotia, B4A 1E6, Canada","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083684609","display_name":"Erik D. Demaine","orcid":"https://orcid.org/0000-0003-3803-5703"},"institutions":[{"id":"https://openalex.org/I126820664","display_name":"Vassar College","ror":"https://ror.org/022x6qg61","country_code":"US","type":"education","lineage":["https://openalex.org/I126820664"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Erik D. Demaine","raw_affiliation_strings":["MIT Computer Science and Artificial Intelligence Laboratory, 32 Vassar St., Cambridge, MA 02139, USA"],"affiliations":[{"raw_affiliation_string":"MIT Computer Science and Artificial Intelligence Laboratory, 32 Vassar St., Cambridge, MA 02139, USA","institution_ids":["https://openalex.org/I126820664"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108095454","display_name":"J. Ian Munro","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J. Ian Munro","raw_affiliation_strings":["School of Computer Science, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001025361","display_name":"Rajeev Raman","orcid":"https://orcid.org/0000-0001-9942-8290"},"institutions":[{"id":"https://openalex.org/I153648349","display_name":"University of Leicester","ror":"https://ror.org/04h699437","country_code":"GB","type":"education","lineage":["https://openalex.org/I153648349"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Rajeev Raman","raw_affiliation_strings":["Department of Computer Science, University of Leicester, Leicester LE1 7RH, England"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Leicester, Leicester LE1 7RH, England","institution_ids":["https://openalex.org/I153648349"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073311967","display_name":"Venkatesh Raman","orcid":"https://orcid.org/0000-0001-8123-0980"},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Venkatesh Raman","raw_affiliation_strings":["Institute of Mathematical Sciences, Chennai 600 113, India"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematical Sciences, Chennai 600 113, India","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"last","author":{"id":null,"display_name":"S. Srinivasa Rao","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"S. Srinivasa Rao","raw_affiliation_strings":["School of Computer Science, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5001025361","https://openalex.org/A5027202873","https://openalex.org/A5073311967","https://openalex.org/A5083684609"],"corresponding_institution_ids":["https://openalex.org/I126820664","https://openalex.org/I153648349","https://openalex.org/I59611059"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":19.6557,"has_fulltext":false,"cited_by_count":232,"citation_normalized_percentile":{"value":0.99340272,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"43","issue":"4","first_page":"275","last_page":"292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9998999834060669,"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":0.9998999834060669,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/degree","display_name":"Degree (music)","score":0.7143048644065857},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.6489624977111816},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6335424184799194},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.6255261301994324},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6186262965202332},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5935641527175903},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.563528299331665},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5217557549476624},{"id":"https://openalex.org/keywords/weight-balanced-tree","display_name":"Weight-balanced tree","score":0.46446365118026733},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45302483439445496},{"id":"https://openalex.org/keywords/k-ary-tree","display_name":"K-ary tree","score":0.44003942608833313},{"id":"https://openalex.org/keywords/cardinal-number","display_name":"Cardinal number (linguistics)","score":0.4266176223754883},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4120129942893982},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37762048840522766},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36082881689071655},{"id":"https://openalex.org/keywords/tree-structure","display_name":"Tree structure","score":0.34647199511528015},{"id":"https://openalex.org/keywords/binary-search-tree","display_name":"Binary search tree","score":0.2432239055633545},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21186476945877075}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7143048644065857},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.6489624977111816},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6335424184799194},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6255261301994324},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6186262965202332},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5935641527175903},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.563528299331665},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5217557549476624},{"id":"https://openalex.org/C57900377","wikidata":"https://www.wikidata.org/wiki/Q7979855","display_name":"Weight-balanced tree","level":4,"score":0.46446365118026733},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45302483439445496},{"id":"https://openalex.org/C100560664","wikidata":"https://www.wikidata.org/wiki/Q3608019","display_name":"K-ary tree","level":4,"score":0.44003942608833313},{"id":"https://openalex.org/C2778408900","wikidata":"https://www.wikidata.org/wiki/Q1329258","display_name":"Cardinal number (linguistics)","level":2,"score":0.4266176223754883},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4120129942893982},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37762048840522766},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36082881689071655},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.34647199511528015},{"id":"https://openalex.org/C91154448","wikidata":"https://www.wikidata.org/wiki/Q623818","display_name":"Binary search tree","level":3,"score":0.2432239055633545},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21186476945877075},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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":2,"locations":[{"id":"doi:10.1007/s00453-004-1146-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-004-1146-6","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:lra.le.ac.uk:2381/12999","is_oa":false,"landing_page_url":"http://hdl.handle.net/2381/12999","pdf_url":null,"source":{"id":"https://openalex.org/S4306402365","display_name":"Leicester Research Archive (University of Leicester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I153648349","host_organization_name":"University of Leicester","host_organization_lineage":["https://openalex.org/I153648349"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","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":30,"referenced_works":["https://openalex.org/W41435888","https://openalex.org/W100509257","https://openalex.org/W127947978","https://openalex.org/W1505590541","https://openalex.org/W1509727978","https://openalex.org/W1551916070","https://openalex.org/W1573714593","https://openalex.org/W1599305879","https://openalex.org/W1608371561","https://openalex.org/W1848935688","https://openalex.org/W1978294273","https://openalex.org/W1985174631","https://openalex.org/W1986970296","https://openalex.org/W1990921890","https://openalex.org/W2029948740","https://openalex.org/W2047619746","https://openalex.org/W2055034980","https://openalex.org/W2055706406","https://openalex.org/W2065457428","https://openalex.org/W2065717636","https://openalex.org/W2074286662","https://openalex.org/W2079301493","https://openalex.org/W2093788424","https://openalex.org/W2116365500","https://openalex.org/W2149243190","https://openalex.org/W2158874082","https://openalex.org/W2164485560","https://openalex.org/W2165621523","https://openalex.org/W2295319256","https://openalex.org/W2752853835"],"related_works":["https://openalex.org/W2019444679","https://openalex.org/W2091985989","https://openalex.org/W2501849745","https://openalex.org/W1510719821","https://openalex.org/W2951678044","https://openalex.org/W2144672948","https://openalex.org/W2051725919","https://openalex.org/W3169685561","https://openalex.org/W4300450359","https://openalex.org/W3023431502"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":16},{"year":2015,"cited_by_count":19},{"year":2014,"cited_by_count":18},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":14}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}