Publication Information

{'id': 'https://openalex.org/W3097570675', 'doi': 'https://doi.org/10.4310/hha.2021.v23.n1.a16', 'title': 'Geometric approach to graph magnitude homology', 'display_name': 'Geometric approach to graph magnitude homology', 'publication_year': 2020, 'publication_date': '2020-11-04', 'ids': {'openalex': 'https://openalex.org/W3097570675', 'doi': 'https://doi.org/10.4310/hha.2021.v23.n1.a16', 'mag': '3097570675'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.4310/hha.2021.v23.n1.a16', 'pdf_url': 'https://www.intlpress.com/site/pub/files/_fulltext/journals/hha/2021/0023/0001/HHA-2021-0023-0001-a016.pdf', 'source': {'id': 'https://openalex.org/S59725656', 'display_name': 'Homology Homotopy and Applications', 'issn_l': '1532-0073', 'issn': ['1532-0073', '1532-0081'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310316281', 'host_organization_name': 'Lehigh University', 'host_organization_lineage': ['https://openalex.org/P4310316281'], 'host_organization_lineage_names': ['Lehigh University'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://www.intlpress.com/site/pub/files/_fulltext/journals/hha/2021/0023/0001/HHA-2021-0023-0001-a016.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5029457392', 'display_name': 'Yasuhiko Asao', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I4210126580', 'display_name': 'RIKEN Center for Advanced Intelligence Project', 'ror': 'https://ror.org/03ckxwf91', 'country_code': 'JP', 'type': 'facility', 'lineage': ['https://openalex.org/I4210110652', 'https://openalex.org/I4210126580']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'Yasuhiko Asao', 'raw_affiliation_strings': ['RIKEN Center for Advanced Intelligence Project, Kyoto, Japan'], 'affiliations': [{'raw_affiliation_string': 'RIKEN Center for Advanced Intelligence Project, Kyoto, Japan', 'institution_ids': ['https://openalex.org/I4210126580']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5078320916', 'display_name': 'Kengo Izumihara', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I135598925', 'display_name': 'Kyushu University', 'ror': 'https://ror.org/00p4k0j84', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I135598925']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'Kengo Izumihara', 'raw_affiliation_strings': ['Graduate School of Mathematics, Kyushu University, Fukuoka, Japan'], 'affiliations': [{'raw_affiliation_string': 'Graduate School of Mathematics, Kyushu University, Fukuoka, Japan', 'institution_ids': ['https://openalex.org/I135598925']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.457, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 4, 'citation_normalized_percentile': {'value': 0.549694, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 77, 'max': 79}, 'biblio': {'volume': '23', 'issue': '1', 'first_page': '297', 'last_page': '310'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12536', 'display_name': 'Topological and Geometric Data Analysis', 'score': 0.9987, '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'}}, 'topics': [{'id': 'https://openalex.org/T12536', 'display_name': 'Topological and Geometric Data Analysis', 'score': 0.9987, '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/T10896', 'display_name': 'Homotopy and Cohomology in Algebraic Topology', 'score': 0.967, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, '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/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9436, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/simplicial-homology', 'display_name': 'Simplicial homology', 'score': 0.81339884}, {'id': 'https://openalex.org/keywords/simplicial-approximation-theorem', 'display_name': 'Simplicial approximation theorem', 'score': 0.57018924}, {'id': 'https://openalex.org/keywords/homology', 'display_name': 'Homology', 'score': 0.5395154}], 'concepts': [{'id': 'https://openalex.org/C3469331', 'wikidata': 'https://www.wikidata.org/wiki/Q7520902', 'display_name': 'Simplicial homology', 'level': 3, 'score': 0.81339884}, {'id': 'https://openalex.org/C187929450', 'wikidata': 'https://www.wikidata.org/wiki/Q994399', 'display_name': 'Simplicial complex', 'level': 2, 'score': 0.6968932}, {'id': 'https://openalex.org/C64245159', 'wikidata': 'https://www.wikidata.org/wiki/Q3983972', 'display_name': 'Simplicial approximation theorem', 'level': 5, 'score': 0.57018924}, {'id': 'https://openalex.org/C45374587', 'wikidata': 'https://www.wikidata.org/wiki/Q12525525', 'display_name': 'Computation', 'level': 2, 'score': 0.56698155}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5486142}, {'id': 'https://openalex.org/C165525559', 'wikidata': 'https://www.wikidata.org/wiki/Q224180', 'display_name': 'Homology (biology)', 'level': 3, 'score': 0.5395154}, {'id': 'https://openalex.org/C130367717', 'wikidata': 'https://www.wikidata.org/wiki/Q189791', 'display_name': 'Diagonal', 'level': 2, 'score': 0.53856754}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.49479502}, {'id': 'https://openalex.org/C132525143', 'wikidata': 'https://www.wikidata.org/wiki/Q141488', 'display_name': 'Graph', 'level': 2, 'score': 0.49456403}, {'id': 'https://openalex.org/C126691448', 'wikidata': 'https://www.wikidata.org/wiki/Q2028919', 'display_name': 'Magnitude (astronomy)', 'level': 2, 'score': 0.43661383}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.37167546}, {'id': 'https://openalex.org/C155366967', 'wikidata': 'https://www.wikidata.org/wiki/Q1467124', 'display_name': 'Simplicial set', 'level': 4, 'score': 0.1966446}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.17269036}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.11598724}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.086827904}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.067845285}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.067404926}, {'id': 'https://openalex.org/C5961521', 'wikidata': 'https://www.wikidata.org/wiki/Q746083', 'display_name': 'Homotopy', 'level': 2, 'score': 0.05520153}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C1276947', 'wikidata': 'https://www.wikidata.org/wiki/Q333', 'display_name': 'Astronomy', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C79236096', 'wikidata': 'https://www.wikidata.org/wiki/Q14775269', 'display_name': 'Homotopy category', 'level': 3, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.4310/hha.2021.v23.n1.a16', 'pdf_url': 'https://www.intlpress.com/site/pub/files/_fulltext/journals/hha/2021/0023/0001/HHA-2021-0023-0001-a016.pdf', 'source': {'id': 'https://openalex.org/S59725656', 'display_name': 'Homology Homotopy and Applications', 'issn_l': '1532-0073', 'issn': ['1532-0073', '1532-0081'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310316281', 'host_organization_name': 'Lehigh University', 'host_organization_lineage': ['https://openalex.org/P4310316281'], 'host_organization_lineage_names': ['Lehigh University'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/2003.08058', 'pdf_url': 'https://arxiv.org/pdf/2003.08058', '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}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.4310/hha.2021.v23.n1.a16', 'pdf_url': 'https://www.intlpress.com/site/pub/files/_fulltext/journals/hha/2021/0023/0001/HHA-2021-0023-0001-a016.pdf', 'source': {'id': 'https://openalex.org/S59725656', 'display_name': 'Homology Homotopy and Applications', 'issn_l': '1532-0073', 'issn': ['1532-0073', '1532-0081'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310316281', 'host_organization_name': 'Lehigh University', 'host_organization_lineage': ['https://openalex.org/P4310316281'], 'host_organization_lineage_names': ['Lehigh University'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 6, 'referenced_works': ['https://openalex.org/W1502356607', 'https://openalex.org/W2108351047', 'https://openalex.org/W2890158482', 'https://openalex.org/W2916049699', 'https://openalex.org/W3132933637', 'https://openalex.org/W4287977820'], 'related_works': ['https://openalex.org/W4301866047', 'https://openalex.org/W4288359443', 'https://openalex.org/W4226073280', 'https://openalex.org/W4206371202', 'https://openalex.org/W2969857904', 'https://openalex.org/W2953190840', 'https://openalex.org/W2943582562', 'https://openalex.org/W287883068', 'https://openalex.org/W2399269288', 'https://openalex.org/W1992772797'], 'abstract_inverted_index': {'In': [0], 'this': [1], 'paper,': [2], 'we': [3, 25, 40, 61], 'introduce': [4], 'a': [5, 27], 'new': [6], 'method': [7], 'to': [8, 38, 46], 'compute': [9], 'the': [10, 21, 53], 'magnitude': [11, 22], 'homology': [12], 'of': [13, 20, 29], 'general': [14, 63], 'graphs.To': [15], 'each': [16], 'direct': [17], 'sum': [18], 'component': [19], 'chain': [23, 34], 'complexes,': [24], 'assign': [26], 'pair': [28], 'simplicial': [30, 33], 'complexes': [31], 'whose': [32], 'complex': [35], 'is': [36], 'isomorphic': [37], 'it.First': [39], 'state': [41], 'our': [42], 'main': [43], 'theorem': [44], 'specialized': [45], 'trees,': [47], 'which': [48, 65], 'gives': [49], 'another': [50], 'proof': [51], 'for': [52], 'known': [54], 'fact': [55], 'that': [56], 'trees': [57], 'are': [58], 'diagonal.After': [59], 'that,': [60], 'consider': [62], 'graphs,': [64], 'may': [66], 'have': [67], 'cycles.We': [68], 'also': [69], 'demonstrate': [70], 'some': [71], 'computation': [72], 'as': [73], 'an': [74], 'application.': [75]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3097570675', 'counts_by_year': [{'year': 2023, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 2}], 'updated_date': '2024-12-11T23:46:17.662893', 'created_date': '2020-11-09'}