{"id":"https://openalex.org/W2979629592","doi":"https://doi.org/10.1007/978-3-030-36687-2_78","title":"A Simple Differential Geometry for Networks and Its Generalizations","display_name":"A Simple Differential Geometry for Networks and Its Generalizations","publication_year":2019,"publication_date":"2019-11-26","ids":{"openalex":"https://openalex.org/W2979629592","doi":"https://doi.org/10.1007/978-3-030-36687-2_78","mag":"2979629592"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-36687-2_78","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-36687-2_78","pdf_url":null,"source":{"id":"https://openalex.org/S2764461748","display_name":"Studies in computational intelligence","issn_l":"1860-949X","issn":["1860-949X","1860-9503"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Computational Intelligence","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1910.06258","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082683740","display_name":"Emil Saucan","orcid":"https://orcid.org/0000-0001-9033-0828"},"institutions":[{"id":"https://openalex.org/I231622532","display_name":"Braude College of Engineering Karmiel","ror":"https://ror.org/004af2v94","country_code":"IL","type":"education","lineage":["https://openalex.org/I231622532"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Emil Saucan","raw_affiliation_strings":["Department of Applied Mathematics, ORT Braude College, 2161002, Karmiel, Israel","Department of Applied Mathematics, ORT Braude College, Karmiel, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, ORT Braude College, 2161002, Karmiel, Israel","institution_ids":["https://openalex.org/I231622532"]},{"raw_affiliation_string":"Department of Applied Mathematics, ORT Braude College, Karmiel, Israel","institution_ids":["https://openalex.org/I231622532"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031877647","display_name":"Areejit Samal","orcid":"https://orcid.org/0000-0002-6796-9604"},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Areejit Samal","raw_affiliation_strings":["The Institute of Mathematical Sciences (IMSc), HBNI, Chennai, 600113, India","The Institute of Mathematical Sciences (IMSc), HBNI, Chennai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences (IMSc), HBNI, Chennai, 600113, India","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences (IMSc), HBNI, Chennai, India","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072990982","display_name":"J\u00fcrgen Jost","orcid":"https://orcid.org/0000-0001-5258-6590"},"institutions":[{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]},{"id":"https://openalex.org/I4210119712","display_name":"Max Planck Institute for Mathematics","ror":"https://ror.org/02dh8ja68","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210119712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J\u00fcrgen Jost","raw_affiliation_strings":["Max Planck Institute for Mathematics in the Sciences, 04103, Leipzig, Germany","Max Planck Institute for Mathematics in the Sciences Leipzig Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences, 04103, Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327","https://openalex.org/I4210119712"]},{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences Leipzig Germany","institution_ids":["https://openalex.org/I4210091327","https://openalex.org/I4210119712"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5082683740"],"corresponding_institution_ids":["https://openalex.org/I231622532"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17138281,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"943","last_page":"954"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9714999794960022,"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":0.9714999794960022,"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/curvature","display_name":"Curvature","score":0.761939525604248},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.7344875335693359},{"id":"https://openalex.org/keywords/scalar-curvature","display_name":"Scalar curvature","score":0.6480951309204102},{"id":"https://openalex.org/keywords/gaussian-curvature","display_name":"Gaussian curvature","score":0.6464905142784119},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6409855484962463},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"Differential geometry","score":0.6040456295013428},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5363121628761292},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.48658549785614014},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4577125906944275},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3752449154853821},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.35843923687934875},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22330310940742493},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10141521692276001}],"concepts":[{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.761939525604248},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7344875335693359},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.6480951309204102},{"id":"https://openalex.org/C16140857","wikidata":"https://www.wikidata.org/wiki/Q945953","display_name":"Gaussian curvature","level":3,"score":0.6464905142784119},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6409855484962463},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.6040456295013428},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5363121628761292},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.48658549785614014},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4577125906944275},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3752449154853821},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35843923687934875},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22330310940742493},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10141521692276001},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-030-36687-2_78","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-36687-2_78","pdf_url":null,"source":{"id":"https://openalex.org/S2764461748","display_name":"Studies in computational intelligence","issn_l":"1860-949X","issn":["1860-949X","1860-9503"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Computational Intelligence","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:1910.06258","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.06258","pdf_url":"https://arxiv.org/pdf/1910.06258","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2979629592","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1910.06258.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1910.06258","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1910.06258","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1910.06258","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.06258","pdf_url":"https://arxiv.org/pdf/1910.06258","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1495990589","https://openalex.org/W1525296983","https://openalex.org/W1526611864","https://openalex.org/W1943042386","https://openalex.org/W1963807008","https://openalex.org/W1971215074","https://openalex.org/W1973295268","https://openalex.org/W1980940295","https://openalex.org/W2025796118","https://openalex.org/W2033894891","https://openalex.org/W2087667141","https://openalex.org/W2117071406","https://openalex.org/W2263049952","https://openalex.org/W2291039608","https://openalex.org/W2492248713","https://openalex.org/W2563371586","https://openalex.org/W2780222030","https://openalex.org/W2885978221","https://openalex.org/W2891771888","https://openalex.org/W2898026556","https://openalex.org/W2916036091","https://openalex.org/W2954982595","https://openalex.org/W2962985127","https://openalex.org/W2963036753","https://openalex.org/W2963340087","https://openalex.org/W2963757685","https://openalex.org/W2964932154","https://openalex.org/W3040653702","https://openalex.org/W3104800576","https://openalex.org/W4238357952","https://openalex.org/W4292082790"],"related_works":["https://openalex.org/W3017715761","https://openalex.org/W1531455126","https://openalex.org/W3095712567","https://openalex.org/W2962985127","https://openalex.org/W3176193342","https://openalex.org/W2082602495","https://openalex.org/W3121172951","https://openalex.org/W3048494261","https://openalex.org/W2153254929","https://openalex.org/W1586785555","https://openalex.org/W2951865215","https://openalex.org/W2936011269","https://openalex.org/W2971797722","https://openalex.org/W1974623339","https://openalex.org/W2747607317","https://openalex.org/W2599631608","https://openalex.org/W3210470352","https://openalex.org/W2071395982","https://openalex.org/W1540378308","https://openalex.org/W2520360888"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}