{"id":"https://openalex.org/W2160481583","doi":"https://doi.org/10.1007/s11786-008-0052-8","title":"Automatic Proof of Graph Nonisomorphism","display_name":"Automatic Proof of Graph Nonisomorphism","publication_year":2008,"publication_date":"2008-12-01","ids":{"openalex":"https://openalex.org/W2160481583","doi":"https://doi.org/10.1007/s11786-008-0052-8","mag":"2160481583"},"language":"en","primary_location":{"id":"doi:10.1007/s11786-008-0052-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11786-008-0052-8","pdf_url":null,"source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","raw_type":"journal-article"},"type":"article","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/A5028828265","display_name":"Arjeh M. Cohen","orcid":"https://orcid.org/0000-0002-9986-4292"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Arjeh M. Cohen","raw_affiliation_strings":["Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, PO Box 513, NL-5600 MB, Eindhoven, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, PO Box 513, NL-5600 MB, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029744444","display_name":"Jan Willem Knopper","orcid":null},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jan Willem Knopper","raw_affiliation_strings":["Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, PO Box 513, NL-5600 MB, Eindhoven, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, PO Box 513, NL-5600 MB, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030300324","display_name":"Scott H. Murray","orcid":"https://orcid.org/0000-0001-8134-4515"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Scott H. Murray","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Sydney, Sydney, NSW, 2006, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Sydney, Sydney, NSW, 2006, Australia","institution_ids":["https://openalex.org/I129604602"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028828265"],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4116,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70426572,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":"2","first_page":"211","last_page":"229"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9980999827384949,"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/T10142","display_name":"Formal Methods in Verification","score":0.9980999827384949,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9977999925613403,"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/T12292","display_name":"Graph Theory and Algorithms","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/mathematical-proof","display_name":"Mathematical proof","score":0.9142684936523438},{"id":"https://openalex.org/keywords/graph-isomorphism","display_name":"Graph isomorphism","score":0.6833245754241943},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.6110349893569946},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5707865357398987},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.4848405122756958},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4408721625804901},{"id":"https://openalex.org/keywords/proof-of-concept","display_name":"Proof of concept","score":0.4374887943267822},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4330942928791046},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3895758092403412},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3671204745769501},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.16720527410507202}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.9142684936523438},{"id":"https://openalex.org/C61665672","wikidata":"https://www.wikidata.org/wiki/Q303100","display_name":"Graph isomorphism","level":4,"score":0.6833245754241943},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.6110349893569946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5707865357398987},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.4848405122756958},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4408721625804901},{"id":"https://openalex.org/C124978682","wikidata":"https://www.wikidata.org/wiki/Q1201019","display_name":"Proof of concept","level":2,"score":0.4374887943267822},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4330942928791046},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3895758092403412},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3671204745769501},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.16720527410507202},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/s11786-008-0052-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11786-008-0052-8","pdf_url":null,"source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/15d78389-174b-460e-af5f-f90b662cb856","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/15d78389-174b-460e-af5f-f90b662cb856","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cohen, A M, Knopper, J W & Murray, S H 2008, 'Automatic proof of graph nonisomorphism', Mathematics in Computer Science, vol. 2, no. 2, pp. 211-229. https://doi.org/10.1007/s11786-008-0052-8","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.527.7509","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.527.7509","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://talus.maths.usyd.edu.au/u/pubs/publist/preprints/2008/cohen-11.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.531.8657","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.531.8657","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://talus.maths.usyd.edu.au/u/murray/research/graphs-art.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.90.2391","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.90.2391","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.maths.usyd.edu.au/u/murray/research/graphs-art.pdf","raw_type":"text"},{"id":"pmh:oai:library.tue.nl:650741","is_oa":false,"landing_page_url":"http://repository.tue.nl/650741","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","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":"ISSN:1661-8270","raw_type":"Article / Letter to the editor"},{"id":"pmh:tue:oai:pure.tue.nl:publications/15d78389-174b-460e-af5f-f90b662cb856","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/15d78389-174b-460e-af5f-f90b662cb856","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics in Computer Science, 2(2), 211 - 229. Birkh\u00e4user Verlag","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W85177704","https://openalex.org/W168459216","https://openalex.org/W194165418","https://openalex.org/W1488211288","https://openalex.org/W1492893226","https://openalex.org/W1525737662","https://openalex.org/W1974672137","https://openalex.org/W2015161630","https://openalex.org/W2031410477","https://openalex.org/W2048308316","https://openalex.org/W2079280457","https://openalex.org/W2083237534","https://openalex.org/W2109595350","https://openalex.org/W2124052428","https://openalex.org/W2136934577","https://openalex.org/W2611598995","https://openalex.org/W2752885492","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1819460135","https://openalex.org/W4295798319","https://openalex.org/W353523607","https://openalex.org/W3098927713","https://openalex.org/W1258892498","https://openalex.org/W1522618089","https://openalex.org/W2905073546","https://openalex.org/W1589866633","https://openalex.org/W1598473030","https://openalex.org/W4385763783"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}