{"id":"https://openalex.org/W1588314742","doi":"https://doi.org/10.1007/978-3-642-19571-6_4","title":"Dense Model Theorems and Their Applications","display_name":"Dense Model Theorems and Their Applications","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1588314742","doi":"https://doi.org/10.1007/978-3-642-19571-6_4","mag":"1588314742"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-19571-6_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-19571-6_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057752375","display_name":"Luca Trevisan","orcid":"https://orcid.org/0000-0002-6982-8530"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Luca Trevisan","raw_affiliation_strings":["Department of Computer Science, Stanford University, Stanford, CA, 94305, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Stanford University, Stanford, CA, 94305, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057752375"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.9442,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.9100346,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"55","last_page":"57"},"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":0.9995999932289124,"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":0.9995999932289124,"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/T11166","display_name":"Analytic Number Theory Research","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5676546096801758},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5303614139556885},{"id":"https://openalex.org/keywords/prime-number-theorem","display_name":"Prime number theorem","score":0.5142678618431091},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.43504273891448975},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4234272837638855},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35697102546691895},{"id":"https://openalex.org/keywords/prime-number","display_name":"Prime number","score":0.35203295946121216}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5676546096801758},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5303614139556885},{"id":"https://openalex.org/C40758505","wikidata":"https://www.wikidata.org/wiki/Q386292","display_name":"Prime number theorem","level":3,"score":0.5142678618431091},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.43504273891448975},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4234272837638855},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35697102546691895},{"id":"https://openalex.org/C113429393","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime number","level":2,"score":0.35203295946121216}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-19571-6_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-19571-6_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W80618698","https://openalex.org/W1022649828","https://openalex.org/W1493407996","https://openalex.org/W1496806208","https://openalex.org/W1599622173","https://openalex.org/W1976183756","https://openalex.org/W1976337900","https://openalex.org/W2084705636","https://openalex.org/W2097673562","https://openalex.org/W2132134025","https://openalex.org/W2133701468","https://openalex.org/W2135481450","https://openalex.org/W2160403361","https://openalex.org/W2619380141","https://openalex.org/W3099835098","https://openalex.org/W3102814824","https://openalex.org/W3104389046","https://openalex.org/W6773030976"],"related_works":["https://openalex.org/W2334591883","https://openalex.org/W199377771","https://openalex.org/W4281800544","https://openalex.org/W306052976","https://openalex.org/W2385273353","https://openalex.org/W2046177514","https://openalex.org/W4387070058","https://openalex.org/W4232276891","https://openalex.org/W1976319596","https://openalex.org/W2029575136"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
