{"id":"https://openalex.org/W2021169414","doi":"https://doi.org/10.1007/pl00009396","title":"Geometric Lower Bounds for Parametric Matroid Optimization","display_name":"Geometric Lower Bounds for Parametric Matroid Optimization","publication_year":1998,"publication_date":"1998-12-01","ids":{"openalex":"https://openalex.org/W2021169414","doi":"https://doi.org/10.1007/pl00009396","mag":"2021169414"},"language":"en","primary_location":{"id":"doi:10.1007/pl00009396","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009396","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009396.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/PL00009396.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/I3130035786","display_name":"University Ucinf","ror":"https://ror.org/02cs9pv18","country_code":"CL","type":"education","lineage":["https://openalex.org/I3130035786"]},{"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"]}],"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"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"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":3.7145,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.92787524,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"20","issue":"4","first_page":"463","last_page":"476"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"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":0.9998000264167786,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9987000226974487,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.9674692749977112},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8855597972869873},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.832985520362854},{"id":"https://openalex.org/keywords/oriented-matroid","display_name":"Oriented matroid","score":0.5917485952377319},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5795988440513611},{"id":"https://openalex.org/keywords/matroid-partitioning","display_name":"Matroid partitioning","score":0.5054018497467041},{"id":"https://openalex.org/keywords/weighted-matroid","display_name":"Weighted matroid","score":0.4782623052597046},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.46505293250083923},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4602021872997284},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4387255609035492},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.43618786334991455},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3991241753101349},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11899799108505249}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9674692749977112},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8855597972869873},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.832985520362854},{"id":"https://openalex.org/C178621168","wikidata":"https://www.wikidata.org/wiki/Q16155113","display_name":"Oriented matroid","level":4,"score":0.5917485952377319},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5795988440513611},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.5054018497467041},{"id":"https://openalex.org/C124344645","wikidata":"https://www.wikidata.org/wiki/Q7979897","display_name":"Weighted matroid","level":5,"score":0.4782623052597046},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.46505293250083923},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4602021872997284},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4387255609035492},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.43618786334991455},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3991241753101349},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11899799108505249},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/pl00009396","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009396","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009396.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:10.1.1.26.4960","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.26.4960","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ics.uci.edu/~eppstein/pubs/Epp-DCG-98.pdf","raw_type":"text"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt6g8365v1","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/6g8365v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/pl00009396","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009396","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009396.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":[],"awards":[{"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"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2021169414.pdf","grobid_xml":"https://content.openalex.org/works/W2021169414.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W117619795","https://openalex.org/W1544597038","https://openalex.org/W1567663444","https://openalex.org/W1569080737","https://openalex.org/W1576317141","https://openalex.org/W1705251487","https://openalex.org/W1964347256","https://openalex.org/W1965230032","https://openalex.org/W1969625919","https://openalex.org/W1985783557","https://openalex.org/W1987796943","https://openalex.org/W2005807476","https://openalex.org/W2006769458","https://openalex.org/W2006804560","https://openalex.org/W2011565421","https://openalex.org/W2012504811","https://openalex.org/W2016890960","https://openalex.org/W2018858611","https://openalex.org/W2018885841","https://openalex.org/W2019176509","https://openalex.org/W2020799482","https://openalex.org/W2022032623","https://openalex.org/W2023256083","https://openalex.org/W2036855174","https://openalex.org/W2053278287","https://openalex.org/W2059131612","https://openalex.org/W2068707503","https://openalex.org/W2085048392","https://openalex.org/W2094982244","https://openalex.org/W2095339735","https://openalex.org/W2097004206","https://openalex.org/W2105004728","https://openalex.org/W2106299112","https://openalex.org/W2108928028","https://openalex.org/W2112998433","https://openalex.org/W2146306925","https://openalex.org/W2167163837","https://openalex.org/W2690212491","https://openalex.org/W3148691794","https://openalex.org/W4247568091","https://openalex.org/W6651191391","https://openalex.org/W6652965739","https://openalex.org/W6655218339","https://openalex.org/W6674462295"],"related_works":["https://openalex.org/W2400862597","https://openalex.org/W2153065381","https://openalex.org/W1984819493","https://openalex.org/W2058489697","https://openalex.org/W2159059797","https://openalex.org/W2625145881","https://openalex.org/W2072414647","https://openalex.org/W4246417054","https://openalex.org/W2106233458","https://openalex.org/W4226057593"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
