{"id":"https://openalex.org/W2012395617","doi":"https://doi.org/10.1007/s00454-010-9275-y","title":"Roots of Ehrhart Polynomials of Smooth Fano Polytopes","display_name":"Roots of Ehrhart Polynomials of Smooth Fano Polytopes","publication_year":2010,"publication_date":"2010-08-03","ids":{"openalex":"https://openalex.org/W2012395617","doi":"https://doi.org/10.1007/s00454-010-9275-y","mag":"2012395617"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-010-9275-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-010-9275-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-010-9275-y.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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-010-9275-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013354032","display_name":"G\u00e1bor Heged\u00fcs","orcid":null},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"funder","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"G\u00e1bor Heged\u00fcs","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstra\u00dfe 69, 4040, Linz, Austria","Austrian Academy of Sciences, Johann Radon Institute for Computational and Applied Mathematics, Altenbergerstra\u00dfe 69, 4040, Linz, Austria#TAB#"],"affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstra\u00dfe 69, 4040, Linz, Austria","institution_ids":["https://openalex.org/I4210158379","https://openalex.org/I138211613"]},{"raw_affiliation_string":"Austrian Academy of Sciences, Johann Radon Institute for Computational and Applied Mathematics, Altenbergerstra\u00dfe 69, 4040, Linz, Austria#TAB#","institution_ids":["https://openalex.org/I4210158379","https://openalex.org/I138211613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059138304","display_name":"Alexander Kasprzyk","orcid":"https://orcid.org/0000-0003-2340-5257"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Alexander M. Kasprzyk","raw_affiliation_strings":["School of Mathematics and Statistics, University of Sydney, Sydney, NSW, 2006, Australia","University of Sydney, School of Mathematics and Statistics, 2006, Sydney, NSW, Australia#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of Sydney, Sydney, NSW, 2006, Australia","institution_ids":["https://openalex.org/I129604602"]},{"raw_affiliation_string":"University of Sydney, School of Mathematics and Statistics, 2006, Sydney, NSW, Australia#TAB#","institution_ids":["https://openalex.org/I129604602"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013354032"],"corresponding_institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.4257,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.7721831,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"46","issue":"3","first_page":"488","last_page":"499"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9790999889373779,"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/polytope","display_name":"Polytope","score":0.9324408173561096},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.8555026650428772},{"id":"https://openalex.org/keywords/fano-plane","display_name":"Fano plane","score":0.7928429245948792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7074412107467651},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6423426270484924},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.45960262417793274},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.41956108808517456},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.154570072889328}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.9324408173561096},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.8555026650428772},{"id":"https://openalex.org/C39757861","wikidata":"https://www.wikidata.org/wiki/Q1395814","display_name":"Fano plane","level":2,"score":0.7928429245948792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7074412107467651},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6423426270484924},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45960262417793274},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41956108808517456},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.154570072889328}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00454-010-9275-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-010-9275-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-010-9275-y.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:arXiv.org:1004.3817","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1004.3817","pdf_url":"https://arxiv.org/pdf/1004.3817","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.761.8288","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.761.8288","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1004.3817.pdf","raw_type":"text"},{"id":"pmh:oai:eprints.nottingham.ac.uk:30735","is_oa":true,"landing_page_url":"http://eprints.nottingham.ac.uk/30735/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402013","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:nottingham-repository.worktribe.com:1009627","is_oa":true,"landing_page_url":"https://nottingham-repository.worktribe.com/output/1009627","pdf_url":null,"source":{"id":"https://openalex.org/S4306402483","display_name":"Repository@Nottingham (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1007/s00454-010-9275-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-010-9275-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-010-9275-y.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/G6314987466","display_name":null,"funder_award_id":"K77476","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"},{"id":"https://openalex.org/G676139426","display_name":null,"funder_award_id":"77476","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"}],"funders":[{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2012395617.pdf","grobid_xml":"https://content.openalex.org/works/W2012395617.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1549448410","https://openalex.org/W1616836920","https://openalex.org/W1625610113","https://openalex.org/W1796115931","https://openalex.org/W1971041222","https://openalex.org/W1979796024","https://openalex.org/W2010866318","https://openalex.org/W2015623441","https://openalex.org/W2110366495","https://openalex.org/W2123608978","https://openalex.org/W2165868045","https://openalex.org/W2319712909","https://openalex.org/W2950017042","https://openalex.org/W2951484734","https://openalex.org/W2952187719","https://openalex.org/W2993407187","https://openalex.org/W4233225688"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W3103454236","https://openalex.org/W2951812514","https://openalex.org/W1625610113","https://openalex.org/W2429044630","https://openalex.org/W1704977233","https://openalex.org/W2952999609","https://openalex.org/W4300895258","https://openalex.org/W3046202459","https://openalex.org/W2012395617"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
