{"id":"https://openalex.org/W1659655653","doi":"https://doi.org/10.5220/0004654500170028","title":"Generalized Pythagoras Trees for Visualizing Hierarchies","display_name":"Generalized Pythagoras Trees for Visualizing Hierarchies","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1659655653","doi":"https://doi.org/10.5220/0004654500170028","mag":"1659655653"},"language":"en","primary_location":{"id":"doi:10.5220/0004654500170028","is_oa":false,"landing_page_url":"https://doi.org/10.5220/0004654500170028","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 5th International Conference on Information Visualization Theory and Applications","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.951,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.88350194,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"17","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10799","display_name":"Data Visualization and Analytics","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9257000088691711,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/binary-tree","display_name":"Binary tree","score":0.680334210395813},{"id":"https://openalex.org/keywords/random-binary-tree","display_name":"Random binary tree","score":0.6476341485977173},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5250877141952515},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.5237272381782532},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.49540603160858154},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.49064674973487854},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4699302613735199},{"id":"https://openalex.org/keywords/rectangle","display_name":"Rectangle","score":0.45694929361343384},{"id":"https://openalex.org/keywords/weight-balanced-tree","display_name":"Weight-balanced tree","score":0.4546005427837372},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.45443812012672424},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.44532716274261475},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4151308536529541},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4139256775379181},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3145487904548645},{"id":"https://openalex.org/keywords/binary-search-tree","display_name":"Binary search tree","score":0.2269989252090454},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13780736923217773},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.11846715211868286}],"concepts":[{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.680334210395813},{"id":"https://openalex.org/C11829167","wikidata":"https://www.wikidata.org/wiki/Q751292","display_name":"Random binary tree","level":3,"score":0.6476341485977173},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5250877141952515},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.5237272381782532},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.49540603160858154},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.49064674973487854},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4699302613735199},{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.45694929361343384},{"id":"https://openalex.org/C57900377","wikidata":"https://www.wikidata.org/wiki/Q7979855","display_name":"Weight-balanced tree","level":4,"score":0.4546005427837372},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.45443812012672424},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.44532716274261475},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4151308536529541},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4139256775379181},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3145487904548645},{"id":"https://openalex.org/C91154448","wikidata":"https://www.wikidata.org/wiki/Q623818","display_name":"Binary search tree","level":3,"score":0.2269989252090454},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13780736923217773},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.11846715211868286},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.5220/0004654500170028","is_oa":false,"landing_page_url":"https://doi.org/10.5220/0004654500170028","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 5th International Conference on Information Visualization Theory and Applications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W154833777","https://openalex.org/W190320872","https://openalex.org/W1485838117","https://openalex.org/W1548117670","https://openalex.org/W1585269349","https://openalex.org/W2002083291","https://openalex.org/W2002163217","https://openalex.org/W2002278016","https://openalex.org/W2017537431","https://openalex.org/W2027746986","https://openalex.org/W2045012623","https://openalex.org/W2052606569","https://openalex.org/W2062199832","https://openalex.org/W2078206416","https://openalex.org/W2088482084","https://openalex.org/W2098469281","https://openalex.org/W2102619884","https://openalex.org/W2102664288","https://openalex.org/W2106441507","https://openalex.org/W2106588364","https://openalex.org/W2115939037","https://openalex.org/W2135708569","https://openalex.org/W2156974804","https://openalex.org/W2159367517","https://openalex.org/W2535433266"],"related_works":["https://openalex.org/W2077383771","https://openalex.org/W2019778981","https://openalex.org/W2091985989","https://openalex.org/W2089864510","https://openalex.org/W2951678044","https://openalex.org/W2144672948","https://openalex.org/W2123024824","https://openalex.org/W4300450359","https://openalex.org/W2025994050","https://openalex.org/W1548210529"],"abstract_inverted_index":{"Pythagoras":[0,68],"Trees":[1,69],"are":[2],"fractals":[3],"that":[4],"can":[5,38],"be":[6,39],"used":[7],"to":[8,70,106],"depict":[9],"binary":[10,14,43,57,89],"hierarchies.":[11],"But":[12],"this":[13],"encoding":[15],"is":[16,99,135],"an":[17,82],"obstacle":[18],"for":[19,81],"visualizing":[20,141],"hierarchical":[21],"data":[22],"such":[23,114],"as":[24,41,101,115],"file":[25],"systems":[26],"or":[27],"phylogenetic":[28,147],"trees,":[29,73],"which":[30],"branch":[31,84],"into":[32,50],"n":[33,54],"sub-hierarchies.":[34],"Although":[35],"any":[36],"hierarchy":[37,98],"modeled":[40],"a":[42,51,61,77,92,102,107,145],"one":[44],"by":[45,137],"subsequently":[46],"dividing":[47],"n-ary":[48,83],"branches":[49,90],"sequence":[52],"of":[53,86,121,127,132,160],"\u2212":[55],"1":[56],"branches,":[58],"we":[59,74],"follow":[60],"different":[62,128],"strategy.":[63],"In":[64],"our":[65,133,151],"approach":[66,152],"extending":[67],"arbitrarily":[71],"branching":[72],"only":[75],"need":[76],"single":[78],"visual":[79,112],"element":[80],"instead":[85],"spreading":[87],"the":[88,97,122,125],"along":[91],"strand.":[93],"Each":[94],"vertex":[95],"in":[96],"visualized":[100],"rectangle":[103],"sized":[104],"according":[105],"metric.":[108],"We":[109,149],"analyze":[110],"several":[111],"parameters":[113],"length,":[116],"width,":[117],"order,":[118],"and":[119,144,157,164],"color":[120],"nodes":[123],"against":[124],"use":[126],"metrics.":[129],"The":[130],"usefulness":[131],"technique":[134],"illustrated":[136],"two":[138],"case":[139],"studies":[140],"directory":[142],"structures":[143],"large":[146],"tree.":[148],"compare":[150],"with":[153],"existing":[154],"tree":[155],"diagrams":[156],"discuss":[158],"questions":[159],"geometry,":[161],"perception,":[162],"readability,":[163],"aesthetics.":[165]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}