{"id":"https://openalex.org/W2152421698","doi":"https://doi.org/10.1109/ipdps.2004.1303250","title":"Traversal of a quasi-planar subdivision without using mark bits (extended abstract)","display_name":"Traversal of a quasi-planar subdivision without using mark bits (extended abstract)","publication_year":2004,"publication_date":"2004-06-10","ids":{"openalex":"https://openalex.org/W2152421698","doi":"https://doi.org/10.1109/ipdps.2004.1303250","mag":"2152421698"},"language":"en","primary_location":{"id":"doi:10.1109/ipdps.2004.1303250","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ipdps.2004.1303250","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"18th International Parallel and Distributed Processing Symposium, 2004. Proceedings.","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":[{"author_position":"first","author":{"id":"https://openalex.org/A5050671715","display_name":"Edgar Ch\u00e1vez","orcid":"https://orcid.org/0000-0002-0148-695X"},"institutions":[{"id":"https://openalex.org/I173755004","display_name":"Universidad Michoacana de San Nicol\u00e1s de Hidalgo","ror":"https://ror.org/00z0kq074","country_code":"MX","type":"education","lineage":["https://openalex.org/I173755004"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"E. Chavez","raw_affiliation_strings":["Escuela de Ciencias F\u00edsico-Matem\u00e1ticas, Universidad de Michoacana, Mexico, Mexico"],"affiliations":[{"raw_affiliation_string":"Escuela de Ciencias F\u00edsico-Matem\u00e1ticas, Universidad de Michoacana, Mexico, Mexico","institution_ids":["https://openalex.org/I173755004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012902253","display_name":"Jaroslav Opatrn\u00fd","orcid":"https://orcid.org/0000-0001-6149-003X"},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J. Opatrny","raw_affiliation_strings":["Department of Computer Science, Concordia University, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Concordia University, Canada","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060660647","display_name":"Stefan Dobrev","orcid":"https://orcid.org/0000-0002-0914-2983"},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"S. Dobrev","raw_affiliation_strings":["School of IT and Engineering, University of Ottawa, Canada"],"affiliations":[{"raw_affiliation_string":"School of IT and Engineering, University of Ottawa, Canada","institution_ids":["https://openalex.org/I153718931"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085438222","display_name":"Ladislav Stacho","orcid":null},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"L. Stacho","raw_affiliation_strings":["Department of Mathematics, Simon Fraser University, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Simon Fraser University, Canada","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003125546","display_name":"Evangelos Kranakis","orcid":"https://orcid.org/0000-0002-8959-4428"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"E. Kranakis","raw_affiliation_strings":["School of Computer Science, Carleton University, Canada"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University, Canada","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068857927","display_name":"Jorge Urrutia","orcid":"https://orcid.org/0000-0002-4158-5979"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"J. Urrutia","raw_affiliation_strings":["Institute de Matem\u00e1ticas, Universidad Nacional Aut\u00e9noma de M\u00e9xico, Mexico, Mexico"],"affiliations":[{"raw_affiliation_string":"Institute de Matem\u00e1ticas, Universidad Nacional Aut\u00e9noma de M\u00e9xico, Mexico, Mexico","institution_ids":["https://openalex.org/I8961855"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5050671715"],"corresponding_institution_ids":["https://openalex.org/I173755004"],"apc_list":null,"apc_paid":null,"fwci":1.1904,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82468188,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"47","issue":null,"first_page":"217","last_page":"222"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9962000250816345,"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/subdivision","display_name":"Subdivision","score":0.9619930982589722},{"id":"https://openalex.org/keywords/traverse","display_name":"Traverse","score":0.9604861736297607},{"id":"https://openalex.org/keywords/tree-traversal","display_name":"Tree traversal","score":0.8940199613571167},{"id":"https://openalex.org/keywords/graph-traversal","display_name":"Graph traversal","score":0.8583678007125854},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.6898765563964844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5730408430099487},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5055415630340576},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4718373119831085},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.43252119421958923},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3841537833213806},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36607128381729126},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.24703043699264526},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.17597699165344238},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.1173669695854187},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.0694459080696106}],"concepts":[{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.9619930982589722},{"id":"https://openalex.org/C176809094","wikidata":"https://www.wikidata.org/wiki/Q15401496","display_name":"Traverse","level":2,"score":0.9604861736297607},{"id":"https://openalex.org/C140745168","wikidata":"https://www.wikidata.org/wiki/Q1210082","display_name":"Tree traversal","level":2,"score":0.8940199613571167},{"id":"https://openalex.org/C96333769","wikidata":"https://www.wikidata.org/wiki/Q907955","display_name":"Graph traversal","level":3,"score":0.8583678007125854},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6898765563964844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5730408430099487},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5055415630340576},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4718373119831085},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.43252119421958923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3841537833213806},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36607128381729126},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.24703043699264526},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.17597699165344238},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.1173669695854187},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0694459080696106},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ipdps.2004.1303250","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ipdps.2004.1303250","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"18th International Parallel and Distributed Processing Symposium, 2004. Proceedings.","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.6.1554","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.1554","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.scs.carleton.ca/~kranakis/Papers/WMAN04-2.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W139052383","https://openalex.org/W1550444125","https://openalex.org/W1983281982","https://openalex.org/W1995273909","https://openalex.org/W2002818110","https://openalex.org/W2043088202","https://openalex.org/W2071660286","https://openalex.org/W2081280922","https://openalex.org/W2083656429","https://openalex.org/W2085463780","https://openalex.org/W2133638565","https://openalex.org/W2133844229","https://openalex.org/W2138394562","https://openalex.org/W2156184725","https://openalex.org/W2156689181","https://openalex.org/W2337498233","https://openalex.org/W2911302472","https://openalex.org/W3041834803","https://openalex.org/W3159643950","https://openalex.org/W4247565303","https://openalex.org/W6605613460","https://openalex.org/W6632945411","https://openalex.org/W6795147715"],"related_works":["https://openalex.org/W2200188075","https://openalex.org/W4230405657","https://openalex.org/W4254594467","https://openalex.org/W4252596799","https://openalex.org/W244044452","https://openalex.org/W2552915643","https://openalex.org/W3213135344","https://openalex.org/W3183956626","https://openalex.org/W2152421698","https://openalex.org/W2366394613"],"abstract_inverted_index":{"Summary":[0],"form":[1],"only":[2],"given.":[3],"The":[4,25,50,97],"problem":[5],"of":[6,8,43,67,102,114],"traversal":[7,116],"planar":[9,61,68,119],"subdivisions":[10],"or":[11,46],"other":[12],"graph-like":[13],"structures":[14],"without":[15],"using":[16],"mark":[17],"bits":[18],"is":[19,105],"central":[20],"to":[21,31,40,70,79,87],"many":[22,77],"real-world":[23],"applications.":[24],"first":[26],"such":[27],"algorithms":[28,37],"were":[29,38],"able":[30],"traverse":[32,41,59,88],"triangulated":[33],"subdivisions.":[34,120],"Later":[35],"these":[36],"extended":[39],"vertices":[42],"an":[44,55,85],"arrangement":[45],"a":[47,94],"convex":[48],"polytope.":[49],"research":[51],"progress":[52],"culminated":[53],"in":[54,73],"algorithm":[56,86,104,117],"that":[57,92],"can":[58],"any":[60,89],"subdivision.":[62],"We":[63,83],"extend":[64],"the":[65,111,115],"notion":[66],"subdivision":[69,72,91],"quasiplanar":[71,90],"which":[74,109],"we":[75],"allow":[76],"edges":[78],"cross":[80],"each":[81],"other.":[82],"describe":[84],"satisfies":[93],"simple":[95],"requirement.":[96],"worst":[98],"case":[99],"running":[100,112],"time":[101,113],"our":[103],"O(|E|":[106],"log":[107],"|E|),":[108],"matches":[110],"for":[118]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}