{"id":"https://openalex.org/W3000484479","doi":"https://doi.org/10.1088/1742-6596/1441/1/012173","title":"Universal graph powerset","display_name":"Universal graph powerset","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3000484479","doi":"https://doi.org/10.1088/1742-6596/1441/1/012173","mag":"3000484479"},"language":"en","primary_location":{"id":"doi:10.1088/1742-6596/1441/1/012173","doi":"https://doi.org/10.1088/1742-6596/1441/1/012173","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-6596/1441/1/012173","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1441/1/012173/pdf","source":{"id":"https://openalex.org/S4210187594","display_name":"Journal of Physics Conference Series","issn_l":"1742-6588","issn":["1742-6588","1742-6596"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"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 Physics: Conference Series","raw_type":"journal-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1441/1/012173/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084657095","display_name":"Alexander V. Treier","orcid":"https://orcid.org/0000-0003-4896-1620","observed_orcids":["https://orcid.org/0000-0003-4896-1620"]},"institutions":[{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Alexander Treier","raw_affiliation_strings":["Sobolev Institute of Mathematics of SB RAS, Omsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sobolev Institute of Mathematics of SB RAS, Omsk, Russia","institution_ids":["https://openalex.org/I4210096862"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5084657095"],"corresponding_institution_ids":["https://openalex.org/I4210096862"],"apc_list":null,"apc_paid":null,"fwci":0.7469,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60421546,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":93},"biblio":{"volume":"1441","issue":"1","first_page":"012173","last_page":"012173"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9160000085830688,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9160000085830688,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.07209999859333038,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.003700000001117587,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/universal-graphs","display_name":"universal graphs","score":0.7160000205039978},{"id":"https://openalex.org/keywords/finite-simple-graphs","display_name":"finite simple graphs","score":0.9229999780654907},{"id":"https://openalex.org/keywords/countable-graphs","display_name":"countable graphs","score":0.8330000042915344},{"id":"https://openalex.org/keywords/model-theory-of-graphs","display_name":"model theory of graphs","score":0.7459999918937683},{"id":"https://openalex.org/keywords/category-of-graphs","display_name":"category of graphs","score":0.5230000019073486}],"concepts":[{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.6291568875312805},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5123411417007446},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49845337867736816},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4652501046657562},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41512203216552734},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3466860055923462}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/1742-6596/1441/1/012173","doi":"https://doi.org/10.1088/1742-6596/1441/1/012173","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-6596/1441/1/012173","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1441/1/012173/pdf","source":{"id":"https://openalex.org/S4210187594","display_name":"Journal of Physics Conference Series","issn_l":"1742-6588","issn":["1742-6588","1742-6596"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"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 Physics: Conference Series","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1088/1742-6596/1441/1/012173","doi":"https://doi.org/10.1088/1742-6596/1441/1/012173","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-6596/1441/1/012173","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1441/1/012173/pdf","source":{"id":"https://openalex.org/S4210187594","display_name":"Journal of Physics Conference Series","issn_l":"1742-6588","issn":["1742-6588","1742-6596"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"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 Physics: Conference Series","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3437873704","display_name":null,"funder_award_id":"19-11-00209","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3000484479.pdf","grobid_xml":"https://content.openalex.org/works/W3000484479.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W2117060314","https://openalex.org/W2168086402","https://openalex.org/W2330548796","https://openalex.org/W2884677669"],"related_works":["https://openalex.org/W1978431307","https://openalex.org/W3156271820","https://openalex.org/W2041224716","https://openalex.org/W4281658426","https://openalex.org/W2152178473","https://openalex.org/W3013324936","https://openalex.org/W2963717297","https://openalex.org/W2046960577","https://openalex.org/W1584092381","https://openalex.org/W6964847141"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,17],"paper":[3],"we":[4],"define":[5],"a":[6,20],"series":[7,18],"of":[8,12,16,26],"B-graphs.":[9],"A":[10],"powerset":[11],"the":[13,24],"limit":[14],"graph":[15,32],"is":[19,33],"universal":[21],"object":[22],"in":[23],"category":[25],"finite":[27],"simple":[28],"graphs.":[29],"The":[30],"constructed":[31],"countable":[34],"and":[35],"has":[36],"several":[37],"pleasant":[38],"model":[39],"theoretic":[40],"properties":[41],"as":[42,44],"well":[43],"famous":[45],"Rado":[46],"graph.":[47]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2020-01-23T00:00:00"}
