{"id":"https://openalex.org/W2158990373","doi":"https://doi.org/10.1145/1553374.1553443","title":"The graphlet spectrum","display_name":"The graphlet spectrum","publication_year":2009,"publication_date":"2009-06-14","ids":{"openalex":"https://openalex.org/W2158990373","doi":"https://doi.org/10.1145/1553374.1553443","mag":"2158990373"},"language":"en","primary_location":{"id":"doi:10.1145/1553374.1553443","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1553374.1553443","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 26th Annual International Conference on Machine Learning","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003806118","display_name":"Risi Kondor","orcid":"https://orcid.org/0000-0002-4458-6598"},"institutions":[{"id":"https://openalex.org/I4405268824","display_name":"Gatsby Computational Neuroscience Unit","ror":"https://ror.org/0269epf40","country_code":"GB","type":"facility","lineage":["https://openalex.org/I124357947","https://openalex.org/I4405268824","https://openalex.org/I45129253"]},{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Risi Kondor","raw_affiliation_strings":["Gatsby Computational Neuroscience Unit, UCL, London, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Gatsby Computational Neuroscience Unit, UCL, London, U.K","institution_ids":["https://openalex.org/I4405268824","https://openalex.org/I45129253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032799102","display_name":"Nino Shervashidze","orcid":null},"institutions":[{"id":"https://openalex.org/I4210112458","display_name":"Max Planck Institute for Developmental Biology","ror":"https://ror.org/022jc0g24","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210112458"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nino Shervashidze","raw_affiliation_strings":["Max Planck Institute for Developmental Biology, T\u00fcbingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Developmental Biology, T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I4210112458"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074540538","display_name":"Karsten Borgwardt","orcid":"https://orcid.org/0000-0001-7221-2393"},"institutions":[{"id":"https://openalex.org/I4210112458","display_name":"Max Planck Institute for Developmental Biology","ror":"https://ror.org/022jc0g24","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210112458"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Karsten M. Borgwardt","raw_affiliation_strings":["Max Planck Institute for Developmental Biology, T\u00fcbingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Developmental Biology, T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I4210112458"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":67,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"529","last_page":"536"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12292","display_name":"Graph Theory and Algorithms","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9983000159263611,"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"}},{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/graph","display_name":"Graph","score":0.5656164884567261},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.4872135519981384},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43830686807632446},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.43224266171455383},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4317358136177063},{"id":"https://openalex.org/keywords/algebraic-graph-theory","display_name":"Algebraic graph theory","score":0.42641395330429077},{"id":"https://openalex.org/keywords/graph-property","display_name":"Graph property","score":0.42424285411834717},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3855922222137451},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.3850717842578888},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3409736156463623}],"concepts":[{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5656164884567261},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.4872135519981384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43830686807632446},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.43224266171455383},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4317358136177063},{"id":"https://openalex.org/C25799778","wikidata":"https://www.wikidata.org/wiki/Q4724003","display_name":"Algebraic graph theory","level":3,"score":0.42641395330429077},{"id":"https://openalex.org/C64339825","wikidata":"https://www.wikidata.org/wiki/Q722659","display_name":"Graph property","level":5,"score":0.42424285411834717},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3855922222137451},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.3850717842578888},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3409736156463623},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1145/1553374.1553443","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1553374.1553443","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 26th Annual International Conference on Machine Learning","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.149.8197","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.149.8197","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.mcgill.ca/~icml2009/papers/485.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.420.3689","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.420.3689","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://snowbird.djvuzone.org/2009/abstracts/138.pdf","raw_type":"text"},{"id":"pmh:oai:edoc.mpg.de:460677","is_oa":false,"landing_page_url":"http://edoc.mpg.de/460677","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ICML, 67-67 (2009)","raw_type":"Conference-Paper"},{"id":"pmh:oai:edoc.mpg.de:461784","is_oa":false,"landing_page_url":"http://edoc.mpg.de/461784","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 26th International Conference on Machine Learning (ICML 2009), 529-536 (2009)","raw_type":"Conference-Paper"},{"id":"pmh:oai:pure.mpg.de:item_1789340","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0013-C4A9-B","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ICML '09: Proceedings of the 26th Annual International Conference on Machine Learning","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W32285147","https://openalex.org/W128880985","https://openalex.org/W1591975452","https://openalex.org/W1596185498","https://openalex.org/W1816257748","https://openalex.org/W1835509607","https://openalex.org/W1971407031","https://openalex.org/W2056562706","https://openalex.org/W2065855908","https://openalex.org/W2080242873","https://openalex.org/W2099438806","https://openalex.org/W2110920461","https://openalex.org/W2124228533","https://openalex.org/W2144000913","https://openalex.org/W2147286743","https://openalex.org/W2153635508","https://openalex.org/W2159156271","https://openalex.org/W2161533967","https://openalex.org/W3022389176","https://openalex.org/W3144386677"],"related_works":["https://openalex.org/W2592554948","https://openalex.org/W2366079443","https://openalex.org/W2497161677","https://openalex.org/W2954009223","https://openalex.org/W1980424184","https://openalex.org/W4302567657","https://openalex.org/W2183721992","https://openalex.org/W2755368127","https://openalex.org/W153309283","https://openalex.org/W4292382929"],"abstract_inverted_index":{"Current":[0],"graph":[1,7,27,51,87],"kernels":[2,8,28],"suffer":[3],"from":[4],"two":[5],"limitations:":[6],"based":[9,29],"on":[10,30],"counting":[11],"particular":[12],"types":[13],"of":[14,20,50,56,71],"subgraphs":[15,22,73],"ignore":[16],"the":[17,45,64,69,82],"relative":[18],"position":[19,70],"these":[21],"to":[23,35],"each":[24],"other,":[25],"while":[26],"algebraic":[31],"methods":[32],"are":[33],"limited":[34],"graphs":[36],"without":[37],"node":[38],"labels.":[39],"In":[40,78],"this":[41],"paper":[42],"we":[43],"present":[44],"graphlet":[46,83],"spectrum,":[47],"a":[48,75],"system":[49],"invariants":[52],"derived":[53],"by":[54],"means":[55],"group":[57],"representation":[58],"theory":[59],"that":[60],"capture":[61],"information":[62],"about":[63],"number":[65],"as":[66,68],"well":[67],"labeled":[72],"in":[74],"given":[76],"graph.":[77],"our":[79],"experimental":[80],"evaluation":[81],"spectrum":[84],"outperforms":[85],"state-of-the-art":[86],"kernels.":[88]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":6}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
