Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W4390104109', 'doi': 'https://doi.org/10.5070/c63362792', 'title': 'The induced saturation problem for posets', 'display_name': 'The induced saturation problem for posets', 'publication_year': 2023, 'publication_date': '2023-12-22', 'ids': {'openalex': 'https://openalex.org/W4390104109', 'doi': 'https://doi.org/10.5070/c63362792'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.5070/c63362792', 'pdf_url': 'https://escholarship.org/content/qt3jd9q8x0/qt3jd9q8x0.pdf?t=s622wa', 'source': {'id': 'https://openalex.org/S4210174179', 'display_name': 'Combinatorial Theory', 'issn_l': '2766-1334', 'issn': ['2766-1334'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'journal'}, 'license': 'cc-by', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'diamond', 'oa_url': 'https://escholarship.org/content/qt3jd9q8x0/qt3jd9q8x0.pdf?t=s622wa', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5020419436', 'display_name': 'Andrea Freschi', 'orcid': 'https://orcid.org/0000-0001-5872-7833'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Andrea Freschi', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5049432338', 'display_name': 'Simón Piga', 'orcid': 'https://orcid.org/0000-0003-4451-7821'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Simón Piga', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5042730812', 'display_name': 'Maryam Sharifzadeh', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I1279596006', 'display_name': 'Statistics Sweden', 'ror': 'https://ror.org/05x7wz523', 'country_code': 'SE', 'type': 'government', 'lineage': ['https://openalex.org/I1279596006']}, {'id': 'https://openalex.org/I90267481', 'display_name': 'Umeå University', 'ror': 'https://ror.org/05kb8h459', 'country_code': 'SE', 'type': 'education', 'lineage': ['https://openalex.org/I90267481']}], 'countries': ['SE'], 'is_corresponding': False, 'raw_author_name': 'Maryam Sharifzadeh', 'raw_affiliation_strings': ['Department of Mathematics and Mathematical Statistics, Umeå Universitet, Sweden'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics and Mathematical Statistics, Umeå Universitet, Sweden', 'institution_ids': ['https://openalex.org/I1279596006', 'https://openalex.org/I90267481']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5086607043', 'display_name': 'Andrew Treglown', 'orcid': 'https://orcid.org/0000-0002-4293-5678'}, 'institutions': [{'id': 'https://openalex.org/I79619799', 'display_name': 'University of Birmingham', 'ror': 'https://ror.org/03angcq70', 'country_code': 'GB', 'type': 'education', 'lineage': ['https://openalex.org/I79619799']}], 'countries': ['GB'], 'is_corresponding': False, 'raw_author_name': 'Andrew Treglown', 'raw_affiliation_strings': ['School of Mathematics, University of Birmingham, U.K.'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematics, University of Birmingham, U.K.', 'institution_ids': ['https://openalex.org/I79619799']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 3, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 0, 'currency': 'USD', 'value_usd': 0, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 4.299, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 4, 'citation_normalized_percentile': {'value': 0.872046, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 87, 'max': 90}, 'biblio': {'volume': '3', 'issue': '3', 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11329', 'display_name': 'Limits and Structures in Graph Theory', 'score': 0.9916, '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': 0.9916, '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/T11151', 'display_name': 'Advanced Topology and Set Theory', 'score': 0.9738, '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/T10374', 'display_name': 'Advanced Graph Theory Research', 'score': 0.9269, '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': [], 'concepts': [{'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.86000675}, {'id': 'https://openalex.org/C2780990831', 'wikidata': 'https://www.wikidata.org/wiki/Q319141', 'display_name': 'Conjecture', 'level': 2, 'score': 0.8298528}, {'id': 'https://openalex.org/C180645754', 'wikidata': 'https://www.wikidata.org/wiki/Q474715', 'display_name': 'Partially ordered set', 'level': 2, 'score': 0.70805705}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5351611}, {'id': 'https://openalex.org/C42747912', 'wikidata': 'https://www.wikidata.org/wiki/Q1048447', 'display_name': 'Multiplicative function', 'level': 2, 'score': 0.502475}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.34378955}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 4, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.5070/c63362792', 'pdf_url': 'https://escholarship.org/content/qt3jd9q8x0/qt3jd9q8x0.pdf?t=s622wa', 'source': {'id': 'https://openalex.org/S4210174179', 'display_name': 'Combinatorial Theory', 'issn_l': '2766-1334', 'issn': ['2766-1334'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'journal'}, 'license': 'cc-by', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-219078', 'pdf_url': 'https://umu.diva-portal.org/smash/get/diva2:1826187/FULLTEXT01', 'source': {'id': 'https://openalex.org/S4306400360', 'display_name': 'DiVA at Umeå University (Umeå University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I90267481', 'host_organization_name': 'Umeå University', 'host_organization_lineage': ['https://openalex.org/I90267481'], 'host_organization_lineage_names': ['Umeå University'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/2207.03974', 'pdf_url': 'http://arxiv.org/pdf/2207.03974', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, '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': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'acceptedVersion', 'is_accepted': True, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://pure-oai.bham.ac.uk/ws/files/178116238/2207.03974v2.pdf', 'pdf_url': 'http://pure-oai.bham.ac.uk/ws/files/178116238/2207.03974v2.pdf', 'source': {'id': 'https://openalex.org/S4306402634', 'display_name': 'University of Birmingham Research Portal (University of Birmingham)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I79619799', 'host_organization_name': 'University of Birmingham', 'host_organization_lineage': ['https://openalex.org/I79619799'], 'host_organization_lineage_names': ['University of Birmingham'], 'type': 'repository'}, 'license': 'cc-by', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.5070/c63362792', 'pdf_url': 'https://escholarship.org/content/qt3jd9q8x0/qt3jd9q8x0.pdf?t=s622wa', 'source': {'id': 'https://openalex.org/S4210174179', 'display_name': 'Combinatorial Theory', 'issn_l': '2766-1334', 'issn': ['2766-1334'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'journal'}, 'license': 'cc-by', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 14, 'referenced_works': ['https://openalex.org/W1798827042', 'https://openalex.org/W1981663372', 'https://openalex.org/W1990490082', 'https://openalex.org/W1991488719', 'https://openalex.org/W2161173317', 'https://openalex.org/W2502085572', 'https://openalex.org/W2576813251', 'https://openalex.org/W3009260386', 'https://openalex.org/W3030386554', 'https://openalex.org/W3099512742', 'https://openalex.org/W4221031172', 'https://openalex.org/W4316037943', 'https://openalex.org/W4380876879', 'https://openalex.org/W4380877006'], 'related_works': ['https://openalex.org/W4390961156', 'https://openalex.org/W4312224320', 'https://openalex.org/W4205203210', 'https://openalex.org/W2347443236', 'https://openalex.org/W2184328455', 'https://openalex.org/W2146274131', 'https://openalex.org/W2106070061', 'https://openalex.org/W2073211194', 'https://openalex.org/W1963087247', 'https://openalex.org/W174023083'], 'abstract_inverted_index': {'For': [0], 'a': [1, 5, 82, 128, 151, 180, 187, 218], 'fixed': [2], 'poset': [3, 91, 161, 200], '\\(P\\),': [4, 26, 92, 201], 'family': [6, 57], '\\(\\mathcal': [7, 17, 47, 58], 'F\\)': [8, 18, 59], 'of': [9, 11, 25, 32, 46, 53, 72, 84, 127, 153, 189, 221], 'subsets': [10], '\\([n]\\)': [12, 33], 'is': [13, 42, 60, 81, 141, 176, 215], 'induced': [14, 23, 44], '\\(P\\)-saturated': [15], 'if': [16, 169], 'does': [19], 'not': [20], 'contain': [21], 'an': [22, 43], 'copy': [24], 'but': [27], 'for': [28, 86, 131, 157, 217], 'every': [29], 'subset': [30], '\\(S\\)': [31], 'such': [34, 56], 'that': [35, 79, 111, 156, 197, 211], '\\(': [36], 'S\\not': [37], '\\in': [38], '\\mathcal': [39], 'F\\),': [40], '\\(P\\)': [41], 'subposet': [45], 'F': [48], '\\cup': [49], '\\{S\\}\\).': [50], 'The': [51], 'size': [52], 'the': [54, 148, 158, 184], 'smallest': [55], 'denoted': [61], 'by': [62], '\\(\\text{sat}^*': [63, 94, 97, 113, 116, 165, 203, 206], '(n,P)\\).': [64], 'Keszegh,': [65, 190], 'Lemons,': [66, 191], 'Martin,': [67, 192], 'Pálvölgyi': [68, 193], 'and': [69, 194], 'Patkós': [70, 195], '[Journal': [71], 'Combinatorial': [73], 'Theory': [74], 'Series': [75], 'A,': [76], '2021]': [77], 'proved': [78], 'there': [80], 'dichotomy': [83], 'behaviour': [85], 'this': [87, 103, 107, 171, 212], 'parameter:': [88], 'given': [89, 198], 'any': [90, 199], 'either': [93, 112, 202], '(n,P)=O(1)\\)': [95, 114, 204], 'or': [96, 115, 145, 205], '(n,P)\\geq': [98, 207], '\\log': [99], '_2': [100], 'n\\).': [101], 'In': [102], 'paper': [104], 'we': [105, 163], 'improve': [106], 'general': [108], 'result': [109, 130, 140, 175], 'showing': [110], '(n,P)': [117], '\\geq': [118], '\\min\\{': [119], '2': [120], '\\sqrt{n},': [121], 'n/2+1\\}\\).': [122], 'Our': [123], 'proof': [124], 'makes': [125], 'use': [126], 'Turán-type': [129, 232], 'digraphs.Curiously,': [132], 'it': [133], 'remains': [134], 'open': [135], 'as': [136], 'to': [137, 179], 'whether': [138], 'our': [139, 174], 'essentially': [142], 'best': [143], 'possible': [144], 'not.': [146], 'On': [147, 183], 'one': [149], 'hand,': [150, 186], 'conjecture': [152, 172, 188, 214], 'Ivan': [154], 'states': [155, 196], 'so-called': [159], 'diamond': [160], '\\(\\Diamond\\)': [162], 'have': [164], '(n,\\Diamond)=\\Theta': [166], '(\\sqrt{n})\\);': [167], 'so': [168], 'true': [170, 216], 'implies': [173], 'tight': [177], 'up': [178], 'multiplicative': [181], 'constant.': [182], 'other': [185], 'n+1\\).': [208], 'We': [209], 'prove': [210], 'latter': [213], 'certain': [219], 'class': [220], 'posets': [222], '\\(P\\).Mathematics': [223], 'Subject': [224], 'Classifications:': [225], '06A07,': [226], '05D05Keywords:': [227], 'Partially': [228], 'ordered': [229], 'sets,': [230], 'saturation,': [231], 'problems': [233]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4390104109', 'counts_by_year': [{'year': 2024, 'cited_by_count': 3}, {'year': 2023, 'cited_by_count': 1}], 'updated_date': '2025-01-18T15:51:43.497960', 'created_date': '2023-12-23'}