{"id":"https://openalex.org/W2577139425","doi":"https://doi.org/10.1090/dimacs/056/19","title":"The isomorphism problem for circulant graphs via Schur ring theory","display_name":"The isomorphism problem for circulant graphs via Schur ring theory","publication_year":2001,"publication_date":"2001-02-13","ids":{"openalex":"https://openalex.org/W2577139425","doi":"https://doi.org/10.1090/dimacs/056/19","mag":"2577139425"},"language":"en","primary_location":{"id":"doi:10.1090/dimacs/056/19","is_oa":false,"landing_page_url":"https://doi.org/10.1090/dimacs/056/19","pdf_url":null,"source":{"id":"https://openalex.org/S4210177973","display_name":"DIMACS series in discrete mathematics and theoretical computer science","issn_l":"1052-1798","issn":["1052-1798","2472-4793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5089613003","display_name":"Mikhail Muzychuk","orcid":"https://orcid.org/0000-0002-6346-8976"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mikhail Muzychuk","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088055094","display_name":"Mikhail Klin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mikhail Klin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5023133733","display_name":"Reinhard P\u00f6schel","orcid":"https://orcid.org/0000-0003-3369-2050"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Reinhard P\u00f6schel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.562,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.95628415,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"241","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9984999895095825,"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"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9876999855041504,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/circulant-matrix","display_name":"Circulant matrix","score":0.8375869989395142},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.6970881819725037},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.5834478735923767},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5226502418518066},{"id":"https://openalex.org/keywords/graph-isomorphism","display_name":"Graph isomorphism","score":0.48935431241989136},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42767471075057983},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3597007989883423},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07851645350456238},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.05933046340942383},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.044671863317489624},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.04270172119140625},{"id":"https://openalex.org/keywords/crystal-structure","display_name":"Crystal structure","score":0.03434866666793823}],"concepts":[{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.8375869989395142},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.6970881819725037},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.5834478735923767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5226502418518066},{"id":"https://openalex.org/C61665672","wikidata":"https://www.wikidata.org/wiki/Q303100","display_name":"Graph isomorphism","level":4,"score":0.48935431241989136},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42767471075057983},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3597007989883423},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07851645350456238},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.05933046340942383},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.044671863317489624},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.04270172119140625},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.03434866666793823},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/dimacs/056/19","is_oa":false,"landing_page_url":"https://doi.org/10.1090/dimacs/056/19","pdf_url":null,"source":{"id":"https://openalex.org/S4210177973","display_name":"DIMACS series in discrete mathematics and theoretical computer science","issn_l":"1052-1798","issn":["1052-1798","2472-4793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W90719034","https://openalex.org/W1487715352","https://openalex.org/W1545748428","https://openalex.org/W1549597813","https://openalex.org/W1975069164","https://openalex.org/W1981279072","https://openalex.org/W1990243320","https://openalex.org/W2008667980","https://openalex.org/W2013737355","https://openalex.org/W2016436660","https://openalex.org/W2020671052","https://openalex.org/W2023601405","https://openalex.org/W2030480099","https://openalex.org/W2048829195","https://openalex.org/W2051170661","https://openalex.org/W2051905148","https://openalex.org/W2056555534","https://openalex.org/W2058854380","https://openalex.org/W2063428901","https://openalex.org/W2063915930","https://openalex.org/W2082133225","https://openalex.org/W2093166139","https://openalex.org/W2094835765","https://openalex.org/W2109684065","https://openalex.org/W2125061535","https://openalex.org/W2137999379","https://openalex.org/W2138033161","https://openalex.org/W2153503650","https://openalex.org/W2160519701","https://openalex.org/W2333105300","https://openalex.org/W2610822712","https://openalex.org/W2970789867","https://openalex.org/W3214332699","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1258892498","https://openalex.org/W1522618089","https://openalex.org/W2905073546","https://openalex.org/W3080158623","https://openalex.org/W617170108","https://openalex.org/W4360838296","https://openalex.org/W2187958446","https://openalex.org/W1856194915","https://openalex.org/W2389075355","https://openalex.org/W2494517118"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}