{"id":"https://openalex.org/W2025133954","doi":"https://doi.org/10.1007/pl00000076","title":"A special case of mahler\u2019s conjecture","display_name":"A special case of mahler\u2019s conjecture","publication_year":1998,"publication_date":"1998-07-01","ids":{"openalex":"https://openalex.org/W2025133954","doi":"https://doi.org/10.1007/pl00000076","mag":"2025133954"},"language":"en","primary_location":{"id":"doi:10.1007/pl00000076","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00000076","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00000076.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/PL00000076.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015621968","display_name":"Mario A. L\u00f3pez","orcid":"https://orcid.org/0000-0002-1861-0603"},"institutions":[{"id":"https://openalex.org/I131651094","display_name":"University of Denver","ror":"https://ror.org/04w7skc03","country_code":"US","type":"education","lineage":["https://openalex.org/I131651094"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M. A. Lopez","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Denver, 80208, Denver, CO, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Denver, 80208, Denver, CO, USA","institution_ids":["https://openalex.org/I131651094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108848234","display_name":"S. Reisner","orcid":null},"institutions":[{"id":"https://openalex.org/I107326029","display_name":"Oranim Academic College of Education","ror":"https://ror.org/01539v588","country_code":"IL","type":"education","lineage":["https://openalex.org/I107326029"]},{"id":"https://openalex.org/I131651094","display_name":"University of Denver","ror":"https://ror.org/04w7skc03","country_code":"US","type":"education","lineage":["https://openalex.org/I131651094"]},{"id":"https://openalex.org/I91203450","display_name":"University of Haifa","ror":"https://ror.org/02f009v59","country_code":"IL","type":"education","lineage":["https://openalex.org/I91203450"]}],"countries":["IL","US"],"is_corresponding":false,"raw_author_name":"S. Reisner","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Denver, 80208, Denver, CO, USA","Department of Mathematics and School of Education-Oranim, University of Haifa, 31905, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Denver, 80208, Denver, CO, USA","institution_ids":["https://openalex.org/I131651094"]},{"raw_affiliation_string":"Department of Mathematics and School of Education-Oranim, University of Haifa, 31905, Haifa, Israel","institution_ids":["https://openalex.org/I91203450","https://openalex.org/I107326029"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015621968"],"corresponding_institution_ids":["https://openalex.org/I131651094"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.17870428,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"20","issue":"2","first_page":"163","last_page":"177"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9879000186920166,"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/T12417","display_name":"Morphological variations and asymmetry","score":0.9832000136375427,"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":0.851474404335022},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8333028554916382},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7821544408798218},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5778366923332214},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.5638989210128784},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.5584558844566345},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.5033537745475769},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.49450036883354187},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4156016707420349},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.1281280815601349},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09657058119773865},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05237218737602234}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.851474404335022},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8333028554916382},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7821544408798218},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5778366923332214},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.5638989210128784},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5584558844566345},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.5033537745475769},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.49450036883354187},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4156016707420349},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.1281280815601349},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09657058119773865},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05237218737602234},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00000076","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00000076","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00000076.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/pl00000076","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00000076","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00000076.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":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2025133954.pdf","grobid_xml":"https://content.openalex.org/works/W2025133954.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1553934527","https://openalex.org/W1970010927","https://openalex.org/W1977898795","https://openalex.org/W1999594287","https://openalex.org/W2008010966","https://openalex.org/W2021923499","https://openalex.org/W2036591532","https://openalex.org/W2064050424","https://openalex.org/W2066800212","https://openalex.org/W2075603209","https://openalex.org/W2076532316","https://openalex.org/W2087223060","https://openalex.org/W2156153879","https://openalex.org/W2271049245","https://openalex.org/W2317739438","https://openalex.org/W3048150868","https://openalex.org/W6659599511","https://openalex.org/W6809012011"],"related_works":["https://openalex.org/W4226058339","https://openalex.org/W2953313174","https://openalex.org/W4221156915","https://openalex.org/W2341883566","https://openalex.org/W4301271320","https://openalex.org/W2952186610","https://openalex.org/W2111427182","https://openalex.org/W2971022007","https://openalex.org/W2155076729","https://openalex.org/W1967098823"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
