{"id":"https://openalex.org/W1619447706","doi":"https://doi.org/10.1007/978-3-642-03596-8_8","title":"Geometric Characterizations of Graphs Using Heat Kernel Embeddings","display_name":"Geometric Characterizations of Graphs Using Heat Kernel Embeddings","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1619447706","doi":"https://doi.org/10.1007/978-3-642-03596-8_8","mag":"1619447706"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-03596-8_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03596-8_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/3410775","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032925345","display_name":"Hewayda ElGhawalby","orcid":"https://orcid.org/0000-0001-5478-6967"},"institutions":[{"id":"https://openalex.org/I114794399","display_name":"Suez Canal University","ror":"https://ror.org/02m82p074","country_code":"EG","type":"education","lineage":["https://openalex.org/I114794399"]},{"id":"https://openalex.org/I52099693","display_name":"University of York","ror":"https://ror.org/04m01e293","country_code":"GB","type":"education","lineage":["https://openalex.org/I52099693"]}],"countries":["EG","GB"],"is_corresponding":true,"raw_author_name":"H. El-Ghawalby","raw_affiliation_strings":["Department of Computer Science, University of York, UK","Faculty of Engineering, Suez Canal University, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of York, UK","institution_ids":["https://openalex.org/I52099693"]},{"raw_affiliation_string":"Faculty of Engineering, Suez Canal University, Egypt","institution_ids":["https://openalex.org/I114794399"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074364400","display_name":"Edwin R. Hancock","orcid":"https://orcid.org/0000-0003-4496-2028"},"institutions":[{"id":"https://openalex.org/I52099693","display_name":"University of York","ror":"https://ror.org/04m01e293","country_code":"GB","type":"education","lineage":["https://openalex.org/I52099693"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"E. R. Hancock","raw_affiliation_strings":["Department of Computer Science, University of York, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of York, UK","institution_ids":["https://openalex.org/I52099693"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032925345"],"corresponding_institution_ids":["https://openalex.org/I114794399","https://openalex.org/I52099693"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.6576,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.71528781,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"124","last_page":"142"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9987999796867371,"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":0.9987999796867371,"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":0.996999979019165,"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"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/heat-kernel","display_name":"Heat kernel","score":0.8021774291992188},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5632315874099731},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.5568203926086426},{"id":"https://openalex.org/keywords/lattice-graph","display_name":"Lattice graph","score":0.46667468547821045},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4228350818157196},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42102521657943726},{"id":"https://openalex.org/keywords/gaussian-curvature","display_name":"Gaussian curvature","score":0.4155625104904175},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.41431185603141785},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.41224682331085205},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3666674792766571},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3424321413040161},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33242809772491455},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.27510517835617065},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.21745356917381287},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13651177287101746},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09065765142440796},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08022952079772949}],"concepts":[{"id":"https://openalex.org/C183212220","wikidata":"https://www.wikidata.org/wiki/Q3345669","display_name":"Heat kernel","level":2,"score":0.8021774291992188},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5632315874099731},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.5568203926086426},{"id":"https://openalex.org/C145580432","wikidata":"https://www.wikidata.org/wiki/Q6497118","display_name":"Lattice graph","level":5,"score":0.46667468547821045},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4228350818157196},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42102521657943726},{"id":"https://openalex.org/C16140857","wikidata":"https://www.wikidata.org/wiki/Q945953","display_name":"Gaussian curvature","level":3,"score":0.4155625104904175},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.41431185603141785},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.41224682331085205},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3666674792766571},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3424321413040161},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33242809772491455},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.27510517835617065},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.21745356917381287},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13651177287101746},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09065765142440796},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08022952079772949}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-03596-8_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03596-8_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:zenodo.org:3410775","is_oa":true,"landing_page_url":"https://zenodo.org/record/3410775","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/bookPart"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:3410775","is_oa":true,"landing_page_url":"https://zenodo.org/record/3410775","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/bookPart"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W2097690","https://openalex.org/W182345440","https://openalex.org/W187070328","https://openalex.org/W569274159","https://openalex.org/W1487033877","https://openalex.org/W1489381599","https://openalex.org/W1554740308","https://openalex.org/W1578099820","https://openalex.org/W1587069887","https://openalex.org/W1774304772","https://openalex.org/W1963379321","https://openalex.org/W2001141328","https://openalex.org/W2006935644","https://openalex.org/W2013469094","https://openalex.org/W2046407158","https://openalex.org/W2051525893","https://openalex.org/W2053186076","https://openalex.org/W2094826395","https://openalex.org/W2104214849","https://openalex.org/W2107105977","https://openalex.org/W2108182844","https://openalex.org/W2118670840","https://openalex.org/W2120508645","https://openalex.org/W2121947440","https://openalex.org/W2140408177","https://openalex.org/W2152132697","https://openalex.org/W2156718197","https://openalex.org/W2160754664","https://openalex.org/W2176446742","https://openalex.org/W4230962939","https://openalex.org/W4240314454","https://openalex.org/W4300326885"],"related_works":["https://openalex.org/W1973997949","https://openalex.org/W1981564492","https://openalex.org/W2049798232","https://openalex.org/W2033743225","https://openalex.org/W4287829161","https://openalex.org/W3010637008","https://openalex.org/W2273039623","https://openalex.org/W2963319644","https://openalex.org/W2113174572","https://openalex.org/W2017621047"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}