{"id":"https://openalex.org/W4387330229","doi":"https://doi.org/10.2478/forma-2023-0008","title":"About Regular Graphs","display_name":"About Regular Graphs","publication_year":2023,"publication_date":"2023-09-01","ids":{"openalex":"https://openalex.org/W4387330229","doi":"https://doi.org/10.2478/forma-2023-0008"},"language":"en","primary_location":{"id":"doi:10.2478/forma-2023-0008","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2023-0008","pdf_url":"https://sciendo.com/pdf/10.2478/forma-2023-0008","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://sciendo.com/pdf/10.2478/forma-2023-0008","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039680014","display_name":"Sebastian Koch","orcid":"https://orcid.org/0000-0002-9628-177X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sebastian Koch","raw_affiliation_strings":["Mainz , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mainz , Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039680014"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1657,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56704084,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"31","issue":"1","first_page":"75","last_page":"86"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10126","display_name":"Logic, programming, and type systems","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10142","display_name":"Formal Methods in Verification","score":0.974399983882904,"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/T11424","display_name":"Security and Verification in Computing","score":0.9718000292778015,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7301452159881592},{"id":"https://openalex.org/keywords/handshaking","display_name":"Handshaking","score":0.6724795699119568},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.5281486511230469},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4966903328895569},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42060795426368713},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36666083335876465},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24200507998466492}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7301452159881592},{"id":"https://openalex.org/C58861099","wikidata":"https://www.wikidata.org/wiki/Q548838","display_name":"Handshaking","level":2,"score":0.6724795699119568},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.5281486511230469},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4966903328895569},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42060795426368713},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36666083335876465},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24200507998466492},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2478/forma-2023-0008","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2023-0008","pdf_url":"https://sciendo.com/pdf/10.2478/forma-2023-0008","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:repozytorium.uwb.edu.pl:11320/15418","is_oa":true,"landing_page_url":"http://hdl.handle.net/11320/15418","pdf_url":"https://repozytorium.uwb.edu.pl/jspui/bitstream/11320/15418/1/10.2478_forma-2023-0008.pdf","source":{"id":"https://openalex.org/S4306400933","display_name":"The Repository of University in Bialystok (University in Bialystok)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210094198","host_organization_name":"University Clinical Hospital In Bialystok","host_organization_lineage":["https://openalex.org/I4210094198"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.2478/forma-2023-0008","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2023-0008","pdf_url":"https://sciendo.com/pdf/10.2478/forma-2023-0008","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387330229.pdf"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W2044116584","https://openalex.org/W2184838578","https://openalex.org/W2476720312","https://openalex.org/W2477674116","https://openalex.org/W2486753540","https://openalex.org/W2770430340","https://openalex.org/W3197876166","https://openalex.org/W4237366326","https://openalex.org/W4285325570"],"related_works":["https://openalex.org/W2882999853","https://openalex.org/W1997191995","https://openalex.org/W2059936816","https://openalex.org/W2351312779","https://openalex.org/W2134415694","https://openalex.org/W3004736401","https://openalex.org/W4287870844","https://openalex.org/W2735923117","https://openalex.org/W2115913661","https://openalex.org/W3168772390"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"article":[3],"regular":[4],"graphs,":[5],"both":[6],"directed":[7],"and":[8],"undirected,":[9],"are":[10],"formalized":[11],"in":[12,26],"the":[13,20],"Mizar":[14],"system":[15],"[7],":[16],"[2],":[17],"based":[18],"on":[19],"formalization":[21],"of":[22],"graphs":[23],"as":[24],"described":[25],"[10].":[27],"The":[28],"handshaking":[29],"lemma":[30],"is":[31],"also":[32],"proven.":[33]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
