{"id":"https://openalex.org/W2895678636","doi":"https://doi.org/10.1007/s10208-018-9400-5","title":"On the Number of Face-Connected Components of Morton-Type Space-Filling Curves","display_name":"On the Number of Face-Connected Components of Morton-Type Space-Filling Curves","publication_year":2018,"publication_date":"2018-10-05","ids":{"openalex":"https://openalex.org/W2895678636","doi":"https://doi.org/10.1007/s10208-018-9400-5","mag":"2895678636"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-018-9400-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-018-9400-5","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","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/A5086592919","display_name":"Carsten Burstedde","orcid":"https://orcid.org/0000-0001-9843-1041"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Carsten Burstedde","raw_affiliation_strings":["Institut f\u00fcr Numerische Simulation (INS), Endenicher Allee 19b, 53115, Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Numerische Simulation (INS), Endenicher Allee 19b, 53115, Bonn, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056712379","display_name":"Johannes Holke","orcid":"https://orcid.org/0000-0002-2783-3286"},"institutions":[{"id":"https://openalex.org/I2898391981","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","ror":"https://ror.org/04bwf3e34","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2898391981"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Johannes Holke","raw_affiliation_strings":["German Aerospace Center (DLR), Linder H\u00f6he, 51147, K\u00f6ln, Germany"],"affiliations":[{"raw_affiliation_string":"German Aerospace Center (DLR), Linder H\u00f6he, 51147, K\u00f6ln, Germany","institution_ids":["https://openalex.org/I2898391981"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006603988","display_name":"Tobin Isaac","orcid":"https://orcid.org/0000-0002-2628-3585"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tobin Isaac","raw_affiliation_strings":["College of Computing, Georgia Institute of Technology, North Avenue, Atlanta, GA, 30332, USA"],"affiliations":[{"raw_affiliation_string":"College of Computing, Georgia Institute of Technology, North Avenue, Atlanta, GA, 30332, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086592919"],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0401,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.74712373,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"19","issue":"4","first_page":"843","last_page":"868"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994000196456909,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9846000075340271,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9796000123023987,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8751595616340637},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5872162580490112},{"id":"https://openalex.org/keywords/face","display_name":"Face (sociological concept)","score":0.5241803526878357},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4723666310310364},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4060712158679962},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3587830066680908},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05236127972602844},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.037830859422683716}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8751595616340637},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5872162580490112},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.5241803526878357},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4723666310310364},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4060712158679962},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3587830066680908},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05236127972602844},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.037830859422683716},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10208-018-9400-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-018-9400-5","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:elib.dlr.de:124370","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-018-9400-5>.","pdf_url":null,"source":{"id":"https://openalex.org/S4377196266","display_name":"elib (German Aerospace Center)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2898391981","host_organization_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","host_organization_lineage":["https://openalex.org/I2898391981"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"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/W194498636","https://openalex.org/W643775974","https://openalex.org/W1589213590","https://openalex.org/W1979313559","https://openalex.org/W1983575728","https://openalex.org/W1985685378","https://openalex.org/W1986485161","https://openalex.org/W2007648666","https://openalex.org/W2008196645","https://openalex.org/W2012867959","https://openalex.org/W2040879131","https://openalex.org/W2072605585","https://openalex.org/W2074954154","https://openalex.org/W2082590257","https://openalex.org/W2102295719","https://openalex.org/W2106802957","https://openalex.org/W2149107809","https://openalex.org/W2272758157","https://openalex.org/W2769954494","https://openalex.org/W3101724199","https://openalex.org/W4240774490","https://openalex.org/W4246962530","https://openalex.org/W4253968615"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W4288278856","https://openalex.org/W2572370460","https://openalex.org/W2183190086"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
