{"id":"https://openalex.org/W3097037299","doi":"https://doi.org/10.26493/1855-3974.2194.eab","title":"Strongly involutive self-dual polyhedra","display_name":"Strongly involutive self-dual polyhedra","publication_year":2021,"publication_date":"2021-09-02","ids":{"openalex":"https://openalex.org/W3097037299","doi":"https://doi.org/10.26493/1855-3974.2194.eab","mag":"3097037299"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.26493/1855-3974.2194.eab","pdf_url":"https://amc-journal.eu/index.php/amc/article/download/2194/1688","source":{"id":"https://openalex.org/S61442588","display_name":"Ars Mathematica Contemporanea","issn_l":"1855-3974","issn":["1855-3974","1855-3966"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310314472","host_organization_name":"Society of Mathematicians, Physicists and Astronomers of Slovenia","host_organization_lineage":["https://openalex.org/P4310314472"],"host_organization_lineage_names":["Society of Mathematicians, Physicists and Astronomers of Slovenia"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://amc-journal.eu/index.php/amc/article/download/2194/1688","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079274572","display_name":"Javier Bracho","orcid":"https://orcid.org/0000-0003-4811-3760"},"institutions":[],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Javier Bracho","raw_affiliation_strings":["Instituto de Matem\u00e1ticas UNAM, Mexico"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1ticas UNAM, Mexico","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063551926","display_name":"Luis Montejano","orcid":"https://orcid.org/0000-0003-3101-6518"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"funder","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Luis Montejano","raw_affiliation_strings":["UNAM-Campus Juriquilla, Mexico"],"affiliations":[{"raw_affiliation_string":"UNAM-Campus Juriquilla, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030116544","display_name":"Eric Paul\u00ed P\u00e9rez","orcid":null},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"funder","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eric Pauli P\u00e9rez","raw_affiliation_strings":["UNAM-Campus Juriquilla, Mexico and University of Montpellier, France"],"affiliations":[{"raw_affiliation_string":"UNAM-Campus Juriquilla, Mexico and University of Montpellier, France","institution_ids":["https://openalex.org/I19894307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104083449","display_name":"Jorge Luis Ram\u00edrez Alfons\u00edn","orcid":null},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"funder","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jorge Luis Ram\u00edrez Alfons\u00edn","raw_affiliation_strings":["University of Montpellier, France"],"affiliations":[{"raw_affiliation_string":"University of Montpellier, France","institution_ids":["https://openalex.org/I19894307"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.25,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":3,"citation_normalized_percentile":{"value":0.858028,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":71,"max":75},"biblio":{"volume":"20","issue":"1","first_page":"143","last_page":"149"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9966,"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":0.9966,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9964,"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/T11870","display_name":"Structural Analysis and Optimization","score":0.996,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/polyhedron","display_name":"Polyhedron","score":0.94324446},{"id":"https://openalex.org/keywords/antipodal-point","display_name":"Antipodal point","score":0.9047309},{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.84357226},{"id":"https://openalex.org/keywords/dual-graph","display_name":"Dual graph","score":0.6010455},{"id":"https://openalex.org/keywords/polyhedral-graph","display_name":"Polyhedral graph","score":0.455477}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.94324446},{"id":"https://openalex.org/C70943382","wikidata":"https://www.wikidata.org/wiki/Q505356","display_name":"Antipodal point","level":2,"score":0.9047309},{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.84357226},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7546334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7098381},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.61915225},{"id":"https://openalex.org/C169827030","wikidata":"https://www.wikidata.org/wiki/Q2294516","display_name":"Dual graph","level":4,"score":0.6010455},{"id":"https://openalex.org/C91233654","wikidata":"https://www.wikidata.org/wiki/Q4555371","display_name":"Polyhedral graph","level":5,"score":0.455477},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44225278},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.44224787},{"id":"https://openalex.org/C147700949","wikidata":"https://www.wikidata.org/wiki/Q6042594","display_name":"Integer points in convex polyhedra","level":4,"score":0.43684047},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4320922},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16670865},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.11579198},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.085663915},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.073833466},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.05943349},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.052310556},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C123558587","wikidata":"https://www.wikidata.org/wiki/Q4956382","display_name":"Branch and price","level":3,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.26493/1855-3974.2194.eab","pdf_url":"https://amc-journal.eu/index.php/amc/article/download/2194/1688","source":{"id":"https://openalex.org/S61442588","display_name":"Ars Mathematica Contemporanea","issn_l":"1855-3974","issn":["1855-3974","1855-3966"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310314472","host_organization_name":"Society of Mathematicians, Physicists and Astronomers of Slovenia","host_organization_lineage":["https://openalex.org/P4310314472"],"host_organization_lineage_names":["Society of Mathematicians, Physicists and Astronomers of Slovenia"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":false,"landing_page_url":"https://hal.science/hal-04524630","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.science/hal-04524630/file/StronglyInvolutivePolyhedra.pdf","pdf_url":"https://hal.science/hal-04524630/file/StronglyInvolutivePolyhedra.pdf","source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.science/hal-04524630/document","pdf_url":"https://hal.science/hal-04524630/document","source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.03866","pdf_url":"http://arxiv.org/pdf/2005.03866","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.26493/1855-3974.2194.eab","pdf_url":"https://amc-journal.eu/index.php/amc/article/download/2194/1688","source":{"id":"https://openalex.org/S61442588","display_name":"Ars Mathematica Contemporanea","issn_l":"1855-3974","issn":["1855-3974","1855-3966"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310314472","host_organization_name":"Society of Mathematicians, Physicists and Astronomers of Slovenia","host_organization_lineage":["https://openalex.org/P4310314472"],"host_organization_lineage_names":["Society of Mathematicians, Physicists and Astronomers of Slovenia"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":5,"referenced_works":["https://openalex.org/W1558273801","https://openalex.org/W1971578995","https://openalex.org/W2168052176","https://openalex.org/W3039131288","https://openalex.org/W4231597948"],"related_works":["https://openalex.org/W4393187272","https://openalex.org/W4297785173","https://openalex.org/W4255081583","https://openalex.org/W3161040830","https://openalex.org/W3097037299","https://openalex.org/W3022816946","https://openalex.org/W2168513947","https://openalex.org/W2016069483","https://openalex.org/W2008231869","https://openalex.org/W1528227794"],"abstract_inverted_index":{"A":[0],"polyhedron":[1],"is":[2,7,26],"a":[3,30],"graph":[4],"G":[5],"which":[6],"simple,":[8],"planar":[9],"and":[10,65],"3-connected.":[11],"In":[12],"this":[13,43],"note,":[14],"we":[15],"classify":[16],"the":[17,52,69],"family":[18],"of":[19,46],"strongly":[20],"involutive":[21],"self-dual":[22,56],"polyhedra.":[23],"The":[24],"latter":[25],"done":[27],"by":[28],"using":[29],"well-known":[31],"result":[32],"due":[33],"to":[34],"Tutte":[35],"characterizing":[36],"3-connected":[37],"graphs.":[38],"We":[39],"also":[40],"show":[41],"that":[42],"special":[44],"class":[45],"polyhedra":[47,57],"self-duality":[48],"behaves":[49],"topologically":[50],"as":[51],"antipodal":[53],"mapping.":[54],"These":[55],"are":[58],"related":[59],"with":[60],"several":[61],"problems":[62],"in":[63],"convex":[64],"discrete":[66],"geometry":[67],"including":[68],"V\u00e1zsonyi":[70],"problem.":[71]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3097037299","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-04-18T17:47:52.023428","created_date":"2020-11-09"}