Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2078907300', 'doi': 'https://doi.org/10.1007/s10114-004-0332-4', 'title': 'Upper Bounds for the Laplacian Graph Eigenvalues', 'display_name': 'Upper Bounds for the Laplacian Graph Eigenvalues', 'publication_year': 2004, 'publication_date': '2004-06-21', 'ids': {'openalex': 'https://openalex.org/W2078907300', 'doi': 'https://doi.org/10.1007/s10114-004-0332-4', 'mag': '2078907300'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s10114-004-0332-4', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S69859562', 'display_name': 'Acta Mathematica Sinica English Series', 'issn_l': '1439-7617', 'issn': ['1439-7617', '1439-8516'], '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/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5008059075', 'display_name': 'Jiong Sheng Li', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I126520041', 'display_name': 'University of Science and Technology of China', 'ror': 'https://ror.org/04c4dkn09', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I126520041', 'https://openalex.org/I19820366']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Jiong Sheng Li', 'raw_affiliation_strings': ['University of Science and Technology of China'], 'affiliations': [{'raw_affiliation_string': 'University of Science and Technology of China', 'institution_ids': ['https://openalex.org/I126520041']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5040994831', 'display_name': 'Yong Pan', 'orcid': 'https://orcid.org/0000-0002-6544-1443'}, 'institutions': [{'id': 'https://openalex.org/I126520041', 'display_name': 'University of Science and Technology of China', 'ror': 'https://ror.org/04c4dkn09', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I126520041', 'https://openalex.org/I19820366']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Yong Liang Pan', 'raw_affiliation_strings': ['University of Science and Technology of China'], 'affiliations': [{'raw_affiliation_string': 'University of Science and Technology of China', 'institution_ids': ['https://openalex.org/I126520041']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.403, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 24, 'citation_normalized_percentile': {'value': 0.824843, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 88, 'max': 89}, 'biblio': {'volume': '20', 'issue': '5', 'first_page': '803', 'last_page': '806'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11476', 'display_name': 'Graph Spectra and Topological Indices', 'score': 1.0, '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'}}, 'topics': [{'id': 'https://openalex.org/T11476', 'display_name': 'Graph Spectra and Topological Indices', 'score': 1.0, '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/T10792', 'display_name': 'Matrix Algorithms and Iterative Methods', 'score': 0.9997, '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/T10374', 'display_name': 'Graph Theory and Algorithms', 'score': 0.9954, '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/adjacency-matrix', 'display_name': 'Adjacency matrix', 'score': 0.74582344}, {'id': 'https://openalex.org/keywords/spectral-radius', 'display_name': 'Spectral radius', 'score': 0.6518591}, {'id': 'https://openalex.org/keywords/spectral-graph-theory', 'display_name': 'Spectral graph theory', 'score': 0.5825597}, {'id': 'https://openalex.org/keywords/algebraic-connectivity', 'display_name': 'Algebraic connectivity', 'score': 0.5435285}, {'id': 'https://openalex.org/keywords/diagonal-matrix', 'display_name': 'Diagonal matrix', 'score': 0.5430945}, {'id': 'https://openalex.org/keywords/degree-matrix', 'display_name': 'Degree matrix', 'score': 0.54142755}, {'id': 'https://openalex.org/keywords/graph-energy', 'display_name': 'Graph energy', 'score': 0.5214157}, {'id': 'https://openalex.org/keywords/eigenvalues', 'display_name': 'Eigenvalues', 'score': 0.51337}, {'id': 'https://openalex.org/keywords/eigenvalue-problems', 'display_name': 'Eigenvalue Problems', 'score': 0.512081}, {'id': 'https://openalex.org/keywords/adjacency-list', 'display_name': 'Adjacency list', 'score': 0.45953512}, {'id': 'https://openalex.org/keywords/resistance-distance', 'display_name': 'Resistance distance', 'score': 0.45872304}], 'concepts': [{'id': 'https://openalex.org/C180356752', 'wikidata': 'https://www.wikidata.org/wiki/Q727035', 'display_name': 'Adjacency matrix', 'level': 3, 'score': 0.74582344}, {'id': 'https://openalex.org/C158693339', 'wikidata': 'https://www.wikidata.org/wiki/Q190524', 'display_name': 'Eigenvalues and eigenvectors', 'level': 2, 'score': 0.7108912}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6995534}, {'id': 'https://openalex.org/C115178988', 'wikidata': 'https://www.wikidata.org/wiki/Q772067', 'display_name': 'Laplacian matrix', 'level': 3, 'score': 0.6644825}, {'id': 'https://openalex.org/C140532419', 'wikidata': 'https://www.wikidata.org/wiki/Q249748', 'display_name': 'Spectral radius', 'level': 3, 'score': 0.6518591}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.63875186}, {'id': 'https://openalex.org/C74003402', 'wikidata': 'https://www.wikidata.org/wiki/Q3180727', 'display_name': 'Spectral graph theory', 'level': 5, 'score': 0.5825597}, {'id': 'https://openalex.org/C130367717', 'wikidata': 'https://www.wikidata.org/wiki/Q189791', 'display_name': 'Diagonal', 'level': 2, 'score': 0.58002496}, {'id': 'https://openalex.org/C77553402', 'wikidata': 'https://www.wikidata.org/wiki/Q13222579', 'display_name': 'Upper and lower bounds', 'level': 2, 'score': 0.5557404}, {'id': 'https://openalex.org/C7948225', 'wikidata': 'https://www.wikidata.org/wiki/Q4723998', 'display_name': 'Algebraic connectivity', 'level': 4, 'score': 0.5435285}, {'id': 'https://openalex.org/C113313756', 'wikidata': 'https://www.wikidata.org/wiki/Q332791', 'display_name': 'Diagonal matrix', 'level': 3, 'score': 0.5430945}, {'id': 'https://openalex.org/C162199024', 'wikidata': 'https://www.wikidata.org/wiki/Q3085391', 'display_name': 'Degree matrix', 'level': 5, 'score': 0.54142755}, {'id': 'https://openalex.org/C78913703', 'wikidata': 'https://www.wikidata.org/wiki/Q5597087', 'display_name': 'Graph energy', 'level': 5, 'score': 0.5214157}, {'id': 'https://openalex.org/C132525143', 'wikidata': 'https://www.wikidata.org/wiki/Q141488', 'display_name': 'Graph', 'level': 2, 'score': 0.5101355}, {'id': 'https://openalex.org/C110484373', 'wikidata': 'https://www.wikidata.org/wiki/Q264398', 'display_name': 'Adjacency list', 'level': 2, 'score': 0.45953512}, {'id': 'https://openalex.org/C612898', 'wikidata': 'https://www.wikidata.org/wiki/Q7315618', 'display_name': 'Resistance distance', 'level': 5, 'score': 0.45872304}, {'id': 'https://openalex.org/C165700671', 'wikidata': 'https://www.wikidata.org/wiki/Q203484', 'display_name': 'Laplace operator', 'level': 2, 'score': 0.45853505}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.36180133}, {'id': 'https://openalex.org/C203776342', 'wikidata': 'https://www.wikidata.org/wiki/Q1378376', 'display_name': 'Line graph', 'level': 3, 'score': 0.15704882}, {'id': 'https://openalex.org/C149530733', 'wikidata': 'https://www.wikidata.org/wiki/Q5597091', 'display_name': 'Graph power', 'level': 4, 'score': 0.15392101}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.1272912}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.120741725}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.054858148}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s10114-004-0332-4', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S69859562', 'display_name': 'Acta Mathematica Sinica English Series', 'issn_l': '1439-7617', 'issn': ['1439-7617', '1439-8516'], '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/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 11, 'referenced_works': ['https://openalex.org/W1481933820', 'https://openalex.org/W2009233867', 'https://openalex.org/W2027734096', 'https://openalex.org/W2037269571', 'https://openalex.org/W2045855145', 'https://openalex.org/W2047054015', 'https://openalex.org/W2086902241', 'https://openalex.org/W2144267444', 'https://openalex.org/W2151417892', 'https://openalex.org/W2610857016', 'https://openalex.org/W391578156'], 'related_works': ['https://openalex.org/W4318995835', 'https://openalex.org/W2782821035', 'https://openalex.org/W2391222362', 'https://openalex.org/W2389330739', 'https://openalex.org/W2105661768', 'https://openalex.org/W2081084405', 'https://openalex.org/W2078907300', 'https://openalex.org/W2008591309', 'https://openalex.org/W1977445720', 'https://openalex.org/W156426934'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2078907300', 'counts_by_year': [{'year': 2023, 'cited_by_count': 3}, {'year': 2019, 'cited_by_count': 3}, {'year': 2018, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 1}, {'year': 2014, 'cited_by_count': 2}, {'year': 2013, 'cited_by_count': 3}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-08-31T21:38:48.293773', 'created_date': '2016-06-24'}