Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W1976361406', 'doi': 'https://doi.org/10.1016/j.physa.2012.01.038', 'title': 'Cayley Trees and Bethe Lattices: A concise analysis for mathematicians and physicists', 'display_name': 'Cayley Trees and Bethe Lattices: A concise analysis for mathematicians and physicists', 'publication_year': 2012, 'publication_date': '2012-02-02', 'ids': {'openalex': 'https://openalex.org/W1976361406', 'doi': 'https://doi.org/10.1016/j.physa.2012.01.038', 'mag': '1976361406'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/j.physa.2012.01.038', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S24688465', 'display_name': 'Physica A Statistical Mechanics and its Applications', 'issn_l': '0378-4371', 'issn': ['0378-4371', '1873-2119'], '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'http://arxiv.org/pdf/1109.6725', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5006932085', 'display_name': 'Massimo Ostilli', 'orcid': 'https://orcid.org/0000-0001-9830-7235'}, 'institutions': [{'id': 'https://openalex.org/I4164984', 'display_name': 'International Islamic University Malaysia', 'ror': 'https://ror.org/03s9hs139', 'country_code': 'MY', 'type': 'education', 'lineage': ['https://openalex.org/I4164984']}], 'countries': ['MY'], 'is_corresponding': True, 'raw_author_name': 'M. Ostilli', 'raw_affiliation_strings': ['Department of Computational & Theoretical Sciences, International Islamic University Malaysia, P.O. Box, 141, 25710, Kuantan, Pahang, Malaysia', 'Statistical Mechanics and Complexity Center (SMC), INFM-CNR SMC, Rome, Italy'], 'affiliations': [{'raw_affiliation_string': 'Department of Computational & Theoretical Sciences, International Islamic University Malaysia, P.O. Box, 141, 25710, Kuantan, Pahang, Malaysia', 'institution_ids': ['https://openalex.org/I4164984']}, {'raw_affiliation_string': 'Statistical Mechanics and Complexity Center (SMC), INFM-CNR SMC, Rome, Italy', 'institution_ids': []}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5006932085'], 'corresponding_institution_ids': ['https://openalex.org/I4164984'], 'apc_list': {'value': 3320, 'currency': 'USD', 'value_usd': 3320, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 4.209, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 114, 'citation_normalized_percentile': {'value': 0.999849, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '391', 'issue': '12', 'first_page': '3417', 'last_page': '3423'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12592', 'display_name': 'Opinion Dynamics and Social Influence', 'score': 0.9981, 'subfield': {'id': 'https://openalex.org/subfields/3109', 'display_name': 'Statistical and Nonlinear Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T12592', 'display_name': 'Opinion Dynamics and Social Influence', 'score': 0.9981, 'subfield': {'id': 'https://openalex.org/subfields/3109', 'display_name': 'Statistical and Nonlinear Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10064', 'display_name': 'Complex Network Analysis Techniques', 'score': 0.9962, 'subfield': {'id': 'https://openalex.org/subfields/3109', 'display_name': 'Statistical and Nonlinear Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11303', 'display_name': 'Bayesian Modeling and Causal Inference', 'score': 0.9941, 'subfield': {'id': 'https://openalex.org/subfields/1702', 'display_name': 'Artificial Intelligence'}, '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/statistical-mechanics', 'display_name': 'Statistical Mechanics', 'score': 0.51994336}, {'id': 'https://openalex.org/keywords/bethe-lattice', 'display_name': 'Bethe lattice', 'score': 0.44075722}, {'id': 'https://openalex.org/keywords/cayley-graph', 'display_name': 'Cayley graph', 'score': 0.4153784}], 'concepts': [{'id': 'https://openalex.org/C2780586882', 'wikidata': 'https://www.wikidata.org/wiki/Q7520643', 'display_name': 'Simple (philosophy)', 'level': 2, 'score': 0.6522267}, {'id': 'https://openalex.org/C2776436953', 'wikidata': 'https://www.wikidata.org/wiki/Q5163215', 'display_name': 'Consistency (knowledge bases)', 'level': 2, 'score': 0.5952113}, {'id': 'https://openalex.org/C99874945', 'wikidata': 'https://www.wikidata.org/wiki/Q188715', 'display_name': 'Statistical mechanics', 'level': 2, 'score': 0.51994336}, {'id': 'https://openalex.org/C2776639384', 'wikidata': 'https://www.wikidata.org/wiki/Q840396', 'display_name': 'Ideal (ethics)', 'level': 2, 'score': 0.50412357}, {'id': 'https://openalex.org/C2781249634', 'wikidata': 'https://www.wikidata.org/wiki/Q794168', 'display_name': 'Bethe lattice', 'level': 3, 'score': 0.44075722}, {'id': 'https://openalex.org/C120204988', 'wikidata': 'https://www.wikidata.org/wiki/Q859174', 'display_name': 'Cayley graph', 'level': 3, 'score': 0.4153784}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.41485465}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.3815143}, {'id': 'https://openalex.org/C33332235', 'wikidata': 'https://www.wikidata.org/wiki/Q18362', 'display_name': 'Theoretical physics', 'level': 1, 'score': 0.33907172}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.3336476}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.3198749}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.30880708}, {'id': 'https://openalex.org/C132525143', 'wikidata': 'https://www.wikidata.org/wiki/Q141488', 'display_name': 'Graph', 'level': 2, 'score': 0.15648079}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, 'score': 0.1387414}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.07082975}, {'id': 'https://openalex.org/C51329190', 'wikidata': 'https://www.wikidata.org/wiki/Q1076349', 'display_name': 'Ising model', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 4, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/j.physa.2012.01.038', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S24688465', 'display_name': 'Physica A Statistical Mechanics and its Applications', 'issn_l': '0378-4371', 'issn': ['0378-4371', '1873-2119'], '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1109.6725', 'pdf_url': 'http://arxiv.org/pdf/1109.6725', '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': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': None, 'pdf_url': 'http://arxiv.org/pdf/1109.6725.pdf', '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': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1109.6725', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1109.6725', 'pdf_url': 'http://arxiv.org/pdf/1109.6725', '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': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W1976361406'], 'referenced_works_count': 22, 'referenced_works': ['https://openalex.org/W1490670270', 'https://openalex.org/W1507653385', 'https://openalex.org/W1976278894', 'https://openalex.org/W1992015378', 'https://openalex.org/W2019599312', 'https://openalex.org/W2020699467', 'https://openalex.org/W2022083710', 'https://openalex.org/W2043509032', 'https://openalex.org/W2056828017', 'https://openalex.org/W2057536612', 'https://openalex.org/W2087185384', 'https://openalex.org/W2102073826', 'https://openalex.org/W2116821669', 'https://openalex.org/W2123369259', 'https://openalex.org/W2124637492', 'https://openalex.org/W2136931666', 'https://openalex.org/W2148606196', 'https://openalex.org/W217881882', 'https://openalex.org/W2314192334', 'https://openalex.org/W4205240937', 'https://openalex.org/W4256035642', 'https://openalex.org/W4312512934'], 'related_works': ['https://openalex.org/W4300056089', 'https://openalex.org/W4226275486', 'https://openalex.org/W2793192022', 'https://openalex.org/W2320114089', 'https://openalex.org/W2093078649', 'https://openalex.org/W2084488871', 'https://openalex.org/W2066808294', 'https://openalex.org/W2021255209', 'https://openalex.org/W1596751771', 'https://openalex.org/W1571832314'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1976361406', 'counts_by_year': [{'year': 2024, 'cited_by_count': 6}, {'year': 2023, 'cited_by_count': 12}, {'year': 2022, 'cited_by_count': 16}, {'year': 2021, 'cited_by_count': 12}, {'year': 2020, 'cited_by_count': 8}, {'year': 2019, 'cited_by_count': 7}, {'year': 2018, 'cited_by_count': 11}, {'year': 2017, 'cited_by_count': 6}, {'year': 2016, 'cited_by_count': 13}, {'year': 2015, 'cited_by_count': 9}, {'year': 2014, 'cited_by_count': 4}, {'year': 2013, 'cited_by_count': 3}, {'year': 2012, 'cited_by_count': 4}], 'updated_date': '2024-12-09T14:20:02.581284', 'created_date': '2016-06-24'}