Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2160689382', 'doi': 'https://doi.org/10.1016/j.comgeo.2004.02.003', 'title': 'A lower bound on the number of triangulations of planar point sets', 'display_name': 'A lower bound on the number of triangulations of planar point sets', 'publication_year': 2004, 'publication_date': '2004-04-21', 'ids': {'openalex': 'https://openalex.org/W2160689382', 'doi': 'https://doi.org/10.1016/j.comgeo.2004.02.003', 'mag': '2160689382'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/j.comgeo.2004.02.003', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S165542689', 'display_name': 'Computational Geometry', 'issn_l': '0925-7721', 'issn': ['0925-7721', '1879-081X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': 'https://doi.org/10.1016/j.comgeo.2004.02.003', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5091823049', 'display_name': 'Oswin Aichholzer', 'orcid': 'https://orcid.org/0000-0002-2364-0583'}, 'institutions': [{'id': 'https://openalex.org/I4092182', 'display_name': 'Graz University of Technology', 'ror': 'https://ror.org/00d7xrm67', 'country_code': 'AT', 'type': 'education', 'lineage': ['https://openalex.org/I4092182']}], 'countries': ['AT'], 'is_corresponding': True, 'raw_author_name': 'Oswin Aichholzer', 'raw_affiliation_strings': ['Institute for Software Technology, Graz University of Technology, Inffeldgasse 16b, A-8010 Graz, Austria'], 'affiliations': [{'raw_affiliation_string': 'Institute for Software Technology, Graz University of Technology, Inffeldgasse 16b, A-8010 Graz, Austria', 'institution_ids': ['https://openalex.org/I4092182']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5111463493', 'display_name': 'Ferrán Hurtado', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I9617848', 'display_name': 'Universitat Politècnica de Catalunya', 'ror': 'https://ror.org/03mb6wj31', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I9617848']}], 'countries': ['ES'], 'is_corresponding': False, 'raw_author_name': 'Ferran Hurtado', 'raw_affiliation_strings': ['Departament de Matemàtica Aplicada II, Universitat Politècnica de Catalunya, Pau Gargallo 5, 08028 Barcelona, Spain'], 'affiliations': [{'raw_affiliation_string': 'Departament de Matemàtica Aplicada II, Universitat Politècnica de Catalunya, Pau Gargallo 5, 08028 Barcelona, Spain', 'institution_ids': ['https://openalex.org/I9617848']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5083605241', 'display_name': 'Marc Noy', 'orcid': 'https://orcid.org/0000-0002-2399-1359'}, 'institutions': [{'id': 'https://openalex.org/I9617848', 'display_name': 'Universitat Politècnica de Catalunya', 'ror': 'https://ror.org/03mb6wj31', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I9617848']}], 'countries': ['ES'], 'is_corresponding': False, 'raw_author_name': 'Marc Noy', 'raw_affiliation_strings': ['Departament de Matemàtica Aplicada II, Universitat Politècnica de Catalunya, Pau Gargallo 5, 08028 Barcelona, Spain'], 'affiliations': [{'raw_affiliation_string': 'Departament de Matemàtica Aplicada II, Universitat Politècnica de Catalunya, Pau Gargallo 5, 08028 Barcelona, Spain', 'institution_ids': ['https://openalex.org/I9617848']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 2, 'corresponding_author_ids': ['https://openalex.org/A5091823049'], 'corresponding_institution_ids': ['https://openalex.org/I4092182'], 'apc_list': {'value': 2180, 'currency': 'USD', 'value_usd': 2180, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 5.211, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 49, 'citation_normalized_percentile': {'value': 0.970501, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 92, 'max': 93}, 'biblio': {'volume': '29', 'issue': '2', 'first_page': '135', 'last_page': '145'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10996', 'display_name': 'Computational Geometry and Mesh Generation', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/1704', 'display_name': 'Computer Graphics and Computer-Aided Design'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10996', 'display_name': 'Computational Geometry and Mesh Generation', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/1704', 'display_name': 'Computer Graphics and Computer-Aided Design'}, '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/T10374', 'display_name': 'Advanced Graph Theory Research', 'score': 0.9896, '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/T11106', 'display_name': 'Data Management and Algorithms', 'score': 0.9763, 'subfield': {'id': 'https://openalex.org/subfields/1711', 'display_name': 'Signal Processing'}, '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/C134786449', 'wikidata': 'https://www.wikidata.org/wiki/Q3391255', 'display_name': 'Planar', 'level': 2, 'score': 0.6968912}, {'id': 'https://openalex.org/C28719098', 'wikidata': 'https://www.wikidata.org/wiki/Q44946', 'display_name': 'Point (geometry)', 'level': 2, 'score': 0.62679255}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.581424}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.51222295}, {'id': 'https://openalex.org/C77553402', 'wikidata': 'https://www.wikidata.org/wiki/Q13222579', 'display_name': 'Upper and lower bounds', 'level': 2, 'score': 0.50165486}, {'id': 'https://openalex.org/C177264268', 'wikidata': 'https://www.wikidata.org/wiki/Q1514741', 'display_name': 'Set (abstract data type)', 'level': 2, 'score': 0.4288222}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.34929863}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.33106634}, {'id': 'https://openalex.org/C121684516', 'wikidata': 'https://www.wikidata.org/wiki/Q7600677', 'display_name': 'Computer graphics (images)', 'level': 1, 'score': 0.13455552}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.117494285}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/j.comgeo.2004.02.003', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S165542689', 'display_name': 'Computational Geometry', 'issn_l': '0925-7721', 'issn': ['0925-7721', '1879-081X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/j.comgeo.2004.02.003', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S165542689', 'display_name': 'Computational Geometry', 'issn_l': '0925-7721', 'issn': ['0925-7721', '1879-081X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 16, 'referenced_works': ['https://openalex.org/W135311888', 'https://openalex.org/W146417191', 'https://openalex.org/W16939786', 'https://openalex.org/W1842409287', 'https://openalex.org/W2030996579', 'https://openalex.org/W2044929249', 'https://openalex.org/W2057690024', 'https://openalex.org/W2059805293', 'https://openalex.org/W2069225643', 'https://openalex.org/W2094576395', 'https://openalex.org/W2101378867', 'https://openalex.org/W2149757010', 'https://openalex.org/W2163448076', 'https://openalex.org/W2170949858', 'https://openalex.org/W4237276646', 'https://openalex.org/W43719964'], 'related_works': ['https://openalex.org/W4251403274', 'https://openalex.org/W4206327962', 'https://openalex.org/W3021694725', 'https://openalex.org/W2980963558', 'https://openalex.org/W2940695648', 'https://openalex.org/W2096304864', 'https://openalex.org/W2025195393', 'https://openalex.org/W2010009304', 'https://openalex.org/W1996851061', 'https://openalex.org/W1973684381'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2160689382', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2022, 'cited_by_count': 3}, {'year': 2021, 'cited_by_count': 2}, {'year': 2020, 'cited_by_count': 1}, {'year': 2019, 'cited_by_count': 3}, {'year': 2017, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 5}, {'year': 2015, 'cited_by_count': 1}, {'year': 2014, 'cited_by_count': 5}, {'year': 2013, 'cited_by_count': 2}], 'updated_date': '2024-12-11T04:45:39.382785', 'created_date': '2016-06-24'}