{"id":"https://openalex.org/W2043684015","doi":"https://doi.org/10.1007/pl00009479","title":"Raising Roofs, Crashing Cycles, and Playing Pool: Applications of a Data Structure for Finding Pairwise Interactions","display_name":"Raising Roofs, Crashing Cycles, and Playing Pool: Applications of a Data Structure for Finding Pairwise Interactions","publication_year":1999,"publication_date":"1999-12-01","ids":{"openalex":"https://openalex.org/W2043684015","doi":"https://doi.org/10.1007/pl00009479","mag":"2043684015"},"language":"en","primary_location":{"id":"doi:10.1007/pl00009479","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009479","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009479.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/PL00009479.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113943579","display_name":"David Eppstein","orcid":null},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]},{"id":"https://openalex.org/I3130035786","display_name":"University Ucinf","ror":"https://ror.org/02cs9pv18","country_code":"CL","type":"education","lineage":["https://openalex.org/I3130035786"]}],"countries":["CL","US"],"is_corresponding":true,"raw_author_name":"D. Eppstein","raw_affiliation_strings":["Department of Information and Computer Science, University of California, Irvine, CA 92717, USA   http://www.ics.uci.edu/~eppstein, eppstein@ics.uci.edu , , , , , , US","Department of Information and Computer Science,  University of California, Irvine, CA 92717, USA  http://www.ics.uci.edu/~eppstein/  eppstein@ics.uci.edu, , US"],"affiliations":[{"raw_affiliation_string":"Department of Information and Computer Science, University of California, Irvine, CA 92717, USA   http://www.ics.uci.edu/~eppstein, eppstein@ics.uci.edu , , , , , , US","institution_ids":["https://openalex.org/I3130035786"]},{"raw_affiliation_string":"Department of Information and Computer Science,  University of California, Irvine, CA 92717, USA  http://www.ics.uci.edu/~eppstein/  eppstein@ics.uci.edu, , US","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042187195","display_name":"Jeff Erickson","orcid":"https://orcid.org/0000-0002-5253-2282"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I183874917","display_name":"Urbana University","ror":"https://ror.org/04kp3hw27","country_code":"US","type":"education","lineage":["https://openalex.org/I183874917"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Erickson","raw_affiliation_strings":["Center for Geometric Computing, Department of Computer Science,   Duke University, Durham, NC 27708, USA    and   Department of Computer Science, University of Illinois,   Urbana, IL 61801 USA   http://www.uiuc.edu/~jeffe,  jeffe@cs.uiuc.edu, , , , , , US","Center for Geometric Computing, Department of Computer Science, Duke University, Durham, NC 27708, USA and Department of Computer Science, University of Illinois, Urbana, IL 61801 USA http://www.uiuc.edu/~jeffe, jeffe@cs.uiuc.edu, US"],"affiliations":[{"raw_affiliation_string":"Center for Geometric Computing, Department of Computer Science,   Duke University, Durham, NC 27708, USA    and   Department of Computer Science, University of Illinois,   Urbana, IL 61801 USA   http://www.uiuc.edu/~jeffe,  jeffe@cs.uiuc.edu, , , , , , US","institution_ids":["https://openalex.org/I183874917"]},{"raw_affiliation_string":"Center for Geometric Computing, Department of Computer Science, Duke University, Durham, NC 27708, USA and Department of Computer Science, University of Illinois, Urbana, IL 61801 USA http://www.uiuc.edu/~jeffe, jeffe@cs.uiuc.edu, US","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113943579"],"corresponding_institution_ids":["https://openalex.org/I204250578","https://openalex.org/I3130035786"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":5.4115,"has_fulltext":true,"cited_by_count":176,"citation_normalized_percentile":{"value":0.95805844,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"22","issue":"4","first_page":"569","last_page":"592"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997000098228455,"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":0.9997000098228455,"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/T11106","display_name":"Data Management and Algorithms","score":0.998199999332428,"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"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9908999800682068,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7313374876976013},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6166285872459412},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.5584685802459717},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4482281506061554},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.442281037569046},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.42038092017173767},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3278082609176636},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32031553983688354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22829341888427734},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.08873000741004944}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7313374876976013},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6166285872459412},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.5584685802459717},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4482281506061554},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.442281037569046},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.42038092017173767},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3278082609176636},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32031553983688354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22829341888427734},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.08873000741004944},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/pl00009479","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009479","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009479.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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.29.6524","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.29.6524","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://compgeom.cs.uiuc.edu/~jeffe/pubs/ps.gz/cyclesx.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.34.5355","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.5355","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://compgeom.cs.uiuc.edu/~jeffe/pubs/pdf/cyclesx.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.39.1481","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.39.1481","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://compgeom.cs.uiuc.edu/~jeffe/pubs/ps.gz/cycles.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.56.1398","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.56.1398","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://compgeom.cs.uiuc.edu/~jeffe/pubs/cycles.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.644.9407","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.644.9407","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.engr.illinois.edu/~jeffe/pubs/pdf/cycles.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/pl00009479","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009479","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009479.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":[{"score":0.7200000286102295,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G3130281936","display_name":"Mathematical Sciences Postdoctoral Research Fellowships","funder_award_id":"9627683","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7006051974","display_name":"NSF Young Investigator:  Algorithms for Molecular Biology,  Optimal Triangulation, Minimum Spanning Trees, and          Geometric Optimization","funder_award_id":"9258355","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"},{"id":"https://openalex.org/F4320333591","display_name":"Multidisciplinary University Research Initiative","ror":null},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2043684015.pdf","grobid_xml":"https://content.openalex.org/works/W2043684015.grobid-xml"},"referenced_works_count":82,"referenced_works":["https://openalex.org/W1481075119","https://openalex.org/W1497463354","https://openalex.org/W1505266085","https://openalex.org/W1508335833","https://openalex.org/W1520256448","https://openalex.org/W1521225740","https://openalex.org/W1538991644","https://openalex.org/W1541343734","https://openalex.org/W1553772417","https://openalex.org/W1566552517","https://openalex.org/W1580930437","https://openalex.org/W1687550682","https://openalex.org/W1721100836","https://openalex.org/W1816717522","https://openalex.org/W1869699862","https://openalex.org/W1887122289","https://openalex.org/W1965440866","https://openalex.org/W1968301997","https://openalex.org/W1972615420","https://openalex.org/W1984675753","https://openalex.org/W1985010089","https://openalex.org/W1986084080","https://openalex.org/W1987458256","https://openalex.org/W1990617091","https://openalex.org/W1990772897","https://openalex.org/W1991912971","https://openalex.org/W1993391455","https://openalex.org/W1995009518","https://openalex.org/W1999447019","https://openalex.org/W2006448653","https://openalex.org/W2006804560","https://openalex.org/W2007052372","https://openalex.org/W2016400774","https://openalex.org/W2016582666","https://openalex.org/W2027484351","https://openalex.org/W2029784680","https://openalex.org/W2032966476","https://openalex.org/W2034517003","https://openalex.org/W2038728802","https://openalex.org/W2043684015","https://openalex.org/W2046639180","https://openalex.org/W2052333483","https://openalex.org/W2052393177","https://openalex.org/W2054927768","https://openalex.org/W2058889860","https://openalex.org/W2060748671","https://openalex.org/W2074863496","https://openalex.org/W2078608781","https://openalex.org/W2081883110","https://openalex.org/W2086474457","https://openalex.org/W2091781868","https://openalex.org/W2094233695","https://openalex.org/W2094539937","https://openalex.org/W2097004206","https://openalex.org/W2103893986","https://openalex.org/W2113830395","https://openalex.org/W2116179136","https://openalex.org/W2127366419","https://openalex.org/W2140393091","https://openalex.org/W2144858005","https://openalex.org/W2160751058","https://openalex.org/W2162050448","https://openalex.org/W2168507359","https://openalex.org/W2568603896","https://openalex.org/W3123522736","https://openalex.org/W3159914786","https://openalex.org/W4206206918","https://openalex.org/W4210424792","https://openalex.org/W4210881201","https://openalex.org/W4232425010","https://openalex.org/W4234126600","https://openalex.org/W6609400226","https://openalex.org/W6629917101","https://openalex.org/W6630146280","https://openalex.org/W6631227111","https://openalex.org/W6634090495","https://openalex.org/W6647007837","https://openalex.org/W6658206783","https://openalex.org/W6660928924","https://openalex.org/W6677079915","https://openalex.org/W6680441010","https://openalex.org/W6816965182"],"related_works":["https://openalex.org/W2487162673","https://openalex.org/W2942366970","https://openalex.org/W2793211469","https://openalex.org/W2949152769","https://openalex.org/W4372354731","https://openalex.org/W2562400057","https://openalex.org/W1692008701","https://openalex.org/W2597588799","https://openalex.org/W4360593462","https://openalex.org/W2194570607"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":17},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":8}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
