{"id":"https://openalex.org/W1566220286","doi":"https://doi.org/10.1007/s00493-016-3357-2","title":"Computing the partition function for graph homomorphisms","display_name":"Computing the partition function for graph homomorphisms","publication_year":2016,"publication_date":"2016-05-09","ids":{"openalex":"https://openalex.org/W1566220286","doi":"https://doi.org/10.1007/s00493-016-3357-2","mag":"1566220286"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-016-3357-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-016-3357-2","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","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/1406.1771","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082996804","display_name":"Alexander Barvinok","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alexander Barvinok","raw_affiliation_strings":["Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109-1043, USA","(University of Michigan)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109-1043, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"(University of Michigan)","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058480137","display_name":"Pablo Sober\u00f3n","orcid":"https://orcid.org/0000-0003-2347-4279"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pablo Sober\u00f3n","raw_affiliation_strings":["Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109-1043, USA","(University of Michigan)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109-1043, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"(University of Michigan)","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082996804"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":0.6897,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.64388227,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"37","issue":"4","first_page":"633","last_page":"650"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9997000098228455,"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":0.9994999766349792,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9988999962806702,"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/homomorphism","display_name":"Homomorphism","score":0.8859289288520813},{"id":"https://openalex.org/keywords/graph-homomorphism","display_name":"Graph homomorphism","score":0.8265167474746704},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6623677015304565},{"id":"https://openalex.org/keywords/graph-partition","display_name":"Graph partition","score":0.5798523426055908},{"id":"https://openalex.org/keywords/frequency-partition-of-a-graph","display_name":"Frequency partition of a graph","score":0.5717030763626099},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5295825004577637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.518691897392273},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5024642944335938},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4728574752807617},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.37749674916267395},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3721942901611328},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.29484373331069946},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.18302810192108154}],"concepts":[{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.8859289288520813},{"id":"https://openalex.org/C7036158","wikidata":"https://www.wikidata.org/wiki/Q3385162","display_name":"Graph homomorphism","level":5,"score":0.8265167474746704},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6623677015304565},{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.5798523426055908},{"id":"https://openalex.org/C178744013","wikidata":"https://www.wikidata.org/wiki/Q5502876","display_name":"Frequency partition of a graph","level":5,"score":0.5717030763626099},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5295825004577637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.518691897392273},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5024642944335938},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4728574752807617},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.37749674916267395},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3721942901611328},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.29484373331069946},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.18302810192108154}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00493-016-3357-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-016-3357-2","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1406.1771","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.1771","pdf_url":"https://arxiv.org/pdf/1406.1771","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":"","raw_type":"text"},{"id":"mag:1566220286","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1406.1771.pdf","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.1406.1771","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1406.1771","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1406.1771","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.1771","pdf_url":"https://arxiv.org/pdf/1406.1771","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W273178449","https://openalex.org/W1527607312","https://openalex.org/W1607127543","https://openalex.org/W1813508417","https://openalex.org/W1985123706","https://openalex.org/W1997999115","https://openalex.org/W2009768419","https://openalex.org/W2058422149","https://openalex.org/W2069816168","https://openalex.org/W2074891431","https://openalex.org/W2081254453","https://openalex.org/W2118223706","https://openalex.org/W2126186592","https://openalex.org/W2227075066","https://openalex.org/W2570207426","https://openalex.org/W2610183793","https://openalex.org/W2953364840","https://openalex.org/W2963364787"],"related_works":["https://openalex.org/W171389261","https://openalex.org/W2132809233","https://openalex.org/W2178299939","https://openalex.org/W2282219474","https://openalex.org/W2275468787","https://openalex.org/W3095971532","https://openalex.org/W2034665826","https://openalex.org/W2023673835","https://openalex.org/W61434062","https://openalex.org/W2074075121","https://openalex.org/W2914071834","https://openalex.org/W2131829133","https://openalex.org/W2055812774","https://openalex.org/W221259211","https://openalex.org/W1964095725","https://openalex.org/W2744474468","https://openalex.org/W3172032776","https://openalex.org/W2033622225","https://openalex.org/W2295057609","https://openalex.org/W2609477008"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
