{"id":"https://openalex.org/W4241581870","doi":"https://doi.org/10.1007/s00454-009-9170-6","title":"Markov Incremental Constructions","display_name":"Markov Incremental Constructions","publication_year":2009,"publication_date":"2009-04-27","ids":{"openalex":"https://openalex.org/W4241581870","doi":"https://doi.org/10.1007/s00454-009-9170-6"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-009-9170-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-009-9170-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-009-9170-6.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-009-9170-6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044565966","display_name":"Bernard Chazelle","orcid":"https://orcid.org/0000-0001-8542-0247"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bernard Chazelle","raw_affiliation_strings":["Department of Computer Science, Princeton University, 35 Olden Street, Princeton, NJ, 08540, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Princeton University, 35 Olden Street, Princeton, NJ, 08540, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090438334","display_name":"Wolfgang Mulzer","orcid":"https://orcid.org/0000-0002-1948-5840"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wolfgang Mulzer","raw_affiliation_strings":["Department of Computer Science, Princeton University, 35 Olden Street, Princeton, NJ, 08540, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Princeton University, 35 Olden Street, Princeton, NJ, 08540, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044565966"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.2794,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.86462017,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"42","issue":"3","first_page":"399","last_page":"420"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9991000294685364,"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/T11106","display_name":"Data Management and Algorithms","score":0.9987000226974487,"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/randomness","display_name":"Randomness","score":0.8101524710655212},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8006656765937805},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.7768086194992065},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.535955011844635},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5185847282409668},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4954413175582886},{"id":"https://openalex.org/keywords/imperfect","display_name":"Imperfect","score":0.4754982888698578},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.46895164251327515},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.42189696431159973},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42170485854148865},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37427818775177},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12358170747756958},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09007546305656433},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08262044191360474}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.8101524710655212},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8006656765937805},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7768086194992065},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.535955011844635},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5185847282409668},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4954413175582886},{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.4754982888698578},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.46895164251327515},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.42189696431159973},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42170485854148865},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37427818775177},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12358170747756958},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09007546305656433},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08262044191360474},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-009-9170-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-009-9170-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-009-9170-6.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-009-9170-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-009-9170-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-009-9170-6.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5299999713897705}],"awards":[{"id":"https://openalex.org/G1844007987","display_name":"Data-Powered Algorithms","funder_award_id":"0634958","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2978128908","display_name":"New Directions in Geometric Algorithm Design","funder_award_id":"0306283","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4241581870.pdf","grobid_xml":"https://content.openalex.org/works/W4241581870.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W1425488884","https://openalex.org/W1491245027","https://openalex.org/W1535835519","https://openalex.org/W1593563200","https://openalex.org/W1595208863","https://openalex.org/W1643261973","https://openalex.org/W1646289414","https://openalex.org/W1969568644","https://openalex.org/W1972343404","https://openalex.org/W1981998274","https://openalex.org/W1990970199","https://openalex.org/W1998909289","https://openalex.org/W2008693968","https://openalex.org/W2011699817","https://openalex.org/W2015610066","https://openalex.org/W2029535834","https://openalex.org/W2042418193","https://openalex.org/W2053165180","https://openalex.org/W2057512681","https://openalex.org/W2059959102","https://openalex.org/W2060113403","https://openalex.org/W2062290471","https://openalex.org/W2062766966","https://openalex.org/W2072596762","https://openalex.org/W2076406769","https://openalex.org/W2076610035","https://openalex.org/W2076639804","https://openalex.org/W2081034786","https://openalex.org/W2089807701","https://openalex.org/W2099844038","https://openalex.org/W2126889428","https://openalex.org/W2131376597","https://openalex.org/W2152479402","https://openalex.org/W2331422813","https://openalex.org/W2913934436","https://openalex.org/W2914415689","https://openalex.org/W2914676137","https://openalex.org/W3011379640","https://openalex.org/W4229576432","https://openalex.org/W4231916799","https://openalex.org/W4242246215","https://openalex.org/W4252017042","https://openalex.org/W4254977685"],"related_works":["https://openalex.org/W3034924094","https://openalex.org/W1488708774","https://openalex.org/W3094954546","https://openalex.org/W2981906196","https://openalex.org/W1513698804","https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2413828414","https://openalex.org/W2367222340"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
