{"id":"https://openalex.org/W2917269811","doi":"https://doi.org/10.1007/s10485-021-09630-4","title":"(Lack of) Model Structures on the Category of Graphs","display_name":"(Lack of) Model Structures on the Category of Graphs","publication_year":2021,"publication_date":"2021-03-04","ids":{"openalex":"https://openalex.org/W2917269811","doi":"https://doi.org/10.1007/s10485-021-09630-4","mag":"2917269811"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-021-09630-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-021-09630-4","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"Applied Categorical Structures","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1902.09182","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019064558","display_name":"Shuchita Goyal","orcid":"https://orcid.org/0000-0003-4958-7706"},"institutions":[{"id":"https://openalex.org/I19149307","display_name":"Chennai Mathematical Institute","ror":"https://ror.org/04zp24820","country_code":"IN","type":"education","lineage":["https://openalex.org/I19149307"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Shuchita Goyal","raw_affiliation_strings":["Chennai Mathematical Institute, Chennai, India","Chennai Mathematical Institute, Chennai , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chennai Mathematical Institute, Chennai, India","institution_ids":["https://openalex.org/I19149307"]},{"raw_affiliation_string":"Chennai Mathematical Institute, Chennai , India","institution_ids":["https://openalex.org/I19149307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007399195","display_name":"Rekha Santhanam","orcid":"https://orcid.org/0000-0002-1197-4965"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rekha Santhanam","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Bombay, Mumbai, India","Department of Mathematics, Indian Institute of Technology, Bombay Mumbai, India"],"raw_orcid":"https://orcid.org/0000-0002-1197-4965","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Bombay, Mumbai, India","institution_ids":["https://openalex.org/I162827531"]},{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology, Bombay Mumbai, India","institution_ids":["https://openalex.org/I162827531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019064558"],"corresponding_institution_ids":["https://openalex.org/I19149307"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01454281,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"4","first_page":"671","last_page":"683"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9850999712944031,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9672999978065491,"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/model-category","display_name":"Model category","score":0.7148780822753906},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7019471526145935},{"id":"https://openalex.org/keywords/homotopy-category","display_name":"Homotopy category","score":0.6453421115875244},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.631536602973938},{"id":"https://openalex.org/keywords/subclass","display_name":"Subclass","score":0.5439905524253845},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5052722096443176},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4818640649318695},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4808140993118286},{"id":"https://openalex.org/keywords/concrete-category","display_name":"Concrete category","score":0.41660749912261963},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38091546297073364},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30517578125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2056836187839508},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07966235280036926},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.0668998658657074}],"concepts":[{"id":"https://openalex.org/C131359564","wikidata":"https://www.wikidata.org/wiki/Q1941896","display_name":"Model category","level":4,"score":0.7148780822753906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7019471526145935},{"id":"https://openalex.org/C79236096","wikidata":"https://www.wikidata.org/wiki/Q14775269","display_name":"Homotopy category","level":3,"score":0.6453421115875244},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.631536602973938},{"id":"https://openalex.org/C2776194381","wikidata":"https://www.wikidata.org/wiki/Q3965271","display_name":"Subclass","level":3,"score":0.5439905524253845},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5052722096443176},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4818640649318695},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4808140993118286},{"id":"https://openalex.org/C128520899","wikidata":"https://www.wikidata.org/wiki/Q1575634","display_name":"Concrete category","level":3,"score":0.41660749912261963},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38091546297073364},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30517578125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2056836187839508},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07966235280036926},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0668998658657074},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.0},{"id":"https://openalex.org/C159654299","wikidata":"https://www.wikidata.org/wiki/Q79460","display_name":"Antibody","level":2,"score":0.0},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10485-021-09630-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-021-09630-4","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"Applied Categorical Structures","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1902.09182","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.09182","pdf_url":"https://arxiv.org/pdf/1902.09182","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":"mag:2917269811","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1902.09182","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1902.09182","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1902.09182","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1902.09182","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.09182","pdf_url":"https://arxiv.org/pdf/1902.09182","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"},"sustainable_development_goals":[{"score":0.6499999761581421,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320335719","display_name":"Industrial Research and Consultancy Centre","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W78673101","https://openalex.org/W94242635","https://openalex.org/W630326657","https://openalex.org/W2036323482","https://openalex.org/W2106875185","https://openalex.org/W2109978147","https://openalex.org/W2554367662","https://openalex.org/W2964038319","https://openalex.org/W2964203682","https://openalex.org/W2994878179","https://openalex.org/W6606447164"],"related_works":["https://openalex.org/W3006051209","https://openalex.org/W2952297455","https://openalex.org/W1757314047","https://openalex.org/W2963214243","https://openalex.org/W2979937932","https://openalex.org/W1992971905","https://openalex.org/W1675638155","https://openalex.org/W3100723784","https://openalex.org/W2062620675","https://openalex.org/W3099948983","https://openalex.org/W2771026277","https://openalex.org/W1933268633","https://openalex.org/W2791361876","https://openalex.org/W2135668246","https://openalex.org/W2796421523","https://openalex.org/W2788305819","https://openalex.org/W2128508034","https://openalex.org/W3103740891","https://openalex.org/W1627407383","https://openalex.org/W1577303823"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
