{"id":"https://openalex.org/W4408312929","doi":"https://doi.org/10.1021/acs.jcim.4c01997","title":"Some Open Mathematical Problems on Fullerenes","display_name":"Some Open Mathematical Problems on Fullerenes","publication_year":2025,"publication_date":"2025-03-10","ids":{"openalex":"https://openalex.org/W4408312929","doi":"https://doi.org/10.1021/acs.jcim.4c01997","pmid":"https://pubmed.ncbi.nlm.nih.gov/40064616"},"language":"en","primary_location":{"id":"doi:10.1021/acs.jcim.4c01997","is_oa":true,"landing_page_url":"https://doi.org/10.1021/acs.jcim.4c01997","pdf_url":"https://pubs.acs.org/doi/pdf/10.1021/acs.jcim.4c01997?ref=article_openPDF","source":{"id":"https://openalex.org/S167262187","display_name":"Journal of Chemical Information and Modeling","issn_l":"1549-9596","issn":["1549-9596","1549-960X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320006","host_organization_name":"American Chemical Society","host_organization_lineage":["https://openalex.org/P4310320006"],"host_organization_lineage_names":["American Chemical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Chemical Information and Modeling","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://pubs.acs.org/doi/pdf/10.1021/acs.jcim.4c01997?ref=article_openPDF","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066555625","display_name":"Artur Bille","orcid":"https://orcid.org/0000-0002-2126-9944"},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Artur Bille","raw_affiliation_strings":["Ulm University","Ulm University, 89069 Ulm, Germany"],"raw_orcid":"https://orcid.org/0000-0002-2126-9944","affiliations":[{"raw_affiliation_string":"Ulm University","institution_ids":[]},{"raw_affiliation_string":"Ulm University, 89069 Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088971896","display_name":"Victor Matveevich Buchstaber","orcid":"https://orcid.org/0000-0003-0083-6599"},"institutions":[{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Victor Buchstaber","raw_affiliation_strings":["Steklov Mathematical Institute RAN","Steklov Mathematical Institute RAN, 119991 Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Steklov Mathematical Institute RAN","institution_ids":["https://openalex.org/I2801160905"]},{"raw_affiliation_string":"Steklov Mathematical Institute RAN, 119991 Moscow, Russia","institution_ids":["https://openalex.org/I2801160905"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113448981","display_name":"Evgeny Spodarev","orcid":null},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Evgeny Spodarev","raw_affiliation_strings":["Ulm University","Ulm University, 89069 Ulm, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ulm University","institution_ids":[]},{"raw_affiliation_string":"Ulm University, 89069 Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066555625","https://openalex.org/A5088971896","https://openalex.org/A5113448981"],"corresponding_institution_ids":["https://openalex.org/I196349391","https://openalex.org/I2801160905"],"apc_list":null,"apc_paid":null,"fwci":2.6172,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82656509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"65","issue":"6","first_page":"2911","last_page":"2923"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T10956","display_name":"Fullerene Chemistry and Applications","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10083","display_name":"Graphene research and applications","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fullerene","display_name":"Fullerene","score":0.7671974301338196},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.335539847612381},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32016855478286743},{"id":"https://openalex.org/keywords/organic-chemistry","display_name":"Organic chemistry","score":0.1061076819896698}],"concepts":[{"id":"https://openalex.org/C162862793","wikidata":"https://www.wikidata.org/wiki/Q178026","display_name":"Fullerene","level":2,"score":0.7671974301338196},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.335539847612381},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32016855478286743},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.1061076819896698}],"mesh":[{"descriptor_ui":"D008958","descriptor_name":"Models, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008958","descriptor_name":"Models, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008958","descriptor_name":"Models, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008958","descriptor_name":"Models, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008958","descriptor_name":"Models, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008958","descriptor_name":"Models, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D037741","descriptor_name":"Fullerenes","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":true},{"descriptor_ui":"D037741","descriptor_name":"Fullerenes","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":true},{"descriptor_ui":"D037741","descriptor_name":"Fullerenes","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":true},{"descriptor_ui":"D037741","descriptor_name":"Fullerenes","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":true},{"descriptor_ui":"D037741","descriptor_name":"Fullerenes","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":true},{"descriptor_ui":"D037741","descriptor_name":"Fullerenes","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1021/acs.jcim.4c01997","is_oa":true,"landing_page_url":"https://doi.org/10.1021/acs.jcim.4c01997","pdf_url":"https://pubs.acs.org/doi/pdf/10.1021/acs.jcim.4c01997?ref=article_openPDF","source":{"id":"https://openalex.org/S167262187","display_name":"Journal of Chemical Information and Modeling","issn_l":"1549-9596","issn":["1549-9596","1549-960X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320006","host_organization_name":"American Chemical Society","host_organization_lineage":["https://openalex.org/P4310320006"],"host_organization_lineage_names":["American Chemical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Chemical Information and Modeling","raw_type":"journal-article"},{"id":"pmid:40064616","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40064616","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of chemical information and modeling","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:11938279","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11938279","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"J Chem Inf Model","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1021/acs.jcim.4c01997","is_oa":true,"landing_page_url":"https://doi.org/10.1021/acs.jcim.4c01997","pdf_url":"https://pubs.acs.org/doi/pdf/10.1021/acs.jcim.4c01997?ref=article_openPDF","source":{"id":"https://openalex.org/S167262187","display_name":"Journal of Chemical Information and Modeling","issn_l":"1549-9596","issn":["1549-9596","1549-960X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320006","host_organization_name":"American Chemical Society","host_organization_lineage":["https://openalex.org/P4310320006"],"host_organization_lineage_names":["American Chemical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Chemical Information and Modeling","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4408312929.pdf"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W222438209","https://openalex.org/W1965998825","https://openalex.org/W1988362486","https://openalex.org/W1989791213","https://openalex.org/W1997672782","https://openalex.org/W1999368278","https://openalex.org/W2019166365","https://openalex.org/W2024911934","https://openalex.org/W2029293816","https://openalex.org/W2038154621","https://openalex.org/W2044840126","https://openalex.org/W2050605560","https://openalex.org/W2051558495","https://openalex.org/W2077136846","https://openalex.org/W2084861512","https://openalex.org/W2090513645","https://openalex.org/W2096809571","https://openalex.org/W2112411400","https://openalex.org/W2153988305","https://openalex.org/W2169523529","https://openalex.org/W2303469705","https://openalex.org/W2329714975","https://openalex.org/W2330479676","https://openalex.org/W2444575640","https://openalex.org/W2549942962","https://openalex.org/W2577446513","https://openalex.org/W2596284865","https://openalex.org/W2616147910","https://openalex.org/W2616496899","https://openalex.org/W2775165886","https://openalex.org/W2783425288","https://openalex.org/W2785856228","https://openalex.org/W2798106478","https://openalex.org/W2889978750","https://openalex.org/W2951275436","https://openalex.org/W2977256489","https://openalex.org/W2998814501","https://openalex.org/W3099108064","https://openalex.org/W3102394406","https://openalex.org/W3112480428","https://openalex.org/W4210631977","https://openalex.org/W4243449554","https://openalex.org/W4291283145","https://openalex.org/W4300223101","https://openalex.org/W4307933731","https://openalex.org/W4387757077","https://openalex.org/W4391248807","https://openalex.org/W4405357509","https://openalex.org/W4407429755"],"related_works":["https://openalex.org/W4387497383","https://openalex.org/W2948807893","https://openalex.org/W2899084033","https://openalex.org/W2778153218","https://openalex.org/W2748952813","https://openalex.org/W1531601525","https://openalex.org/W4391375266","https://openalex.org/W2078814861","https://openalex.org/W2527526854","https://openalex.org/W1976181487"],"abstract_inverted_index":{"High":[0],"Resolution":[1],"Image":[2],"Download":[3],"MS":[4],"PowerPoint":[5],"Slide":[6],"Fullerenes":[7],"are":[8],"hollow":[9],"carbon":[10],"molecules":[11],"where":[12],"each":[13],"atom":[14],"is":[15,82],"connected":[16],"to":[17,115],"exactly":[18],"three":[19],"other":[20],"atoms,":[21],"arranged":[22],"in":[23],"pentagonal":[24],"and":[25,44,103],"hexagonal":[26],"rings.":[27],"Mathematically,":[28],"they":[29],"can":[30],"be":[31],"combinatorially":[32],"modeled":[33],"as":[34],"planar,":[35],"3-regular":[36],"graphs":[37],"with":[38,61],"facets":[39],"composed":[40],"only":[41],"of":[42,53,64,74,96,122],"pentagons":[43],"hexagons.":[45],"In":[46],"this":[47,111],"work,":[48],"we":[49,85],"outline":[50],"a":[51,90,97,116],"few":[52],"the":[54,62,78,94],"many":[55],"open":[56],"questions":[57],"about":[58],"fullerenes,":[59],"beginning":[60],"problem":[63],"generating":[65],"fullerenes":[66,75],"randomly.":[67],"We":[68],"then":[69],"introduce":[70],"an":[71],"infinite":[72],"family":[73],"on":[76],"which":[77],"generalized":[79],"Stone\u2013Wales":[80],"operation":[81],"inapplicable.":[83],"Furthermore,":[84],"present":[86],"numerical":[87,109],"insights":[88],"into":[89],"graph":[91],"invariant,":[92],"called":[93],"character":[95],"fullerene,":[98],"derived":[99],"from":[100],"its":[101],"adjacency":[102],"degree":[104],"matrices.":[105],"As":[106],"supported":[107],"by":[108],"results,":[110],"descriptor":[112],"may":[113],"lead":[114],"new":[117],"method":[118],"for":[119],"linear":[120],"enumeration":[121],"all":[123],"fullerenes.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}
