{"id":"https://openalex.org/W2057952162","doi":"https://doi.org/10.1007/s10623-004-4857-4","title":"Algebraic Characterizations of Graph Regularity Conditions","display_name":"Algebraic Characterizations of Graph Regularity Conditions","publication_year":2005,"publication_date":"2005-02-01","ids":{"openalex":"https://openalex.org/W2057952162","doi":"https://doi.org/10.1007/s10623-004-4857-4","mag":"2057952162"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-004-4857-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-004-4857-4","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5053585643","display_name":"Brian Curtin","orcid":"https://orcid.org/0000-0001-9550-6159"},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Brian Curtin","raw_affiliation_strings":["Department of Mathematics, University of South Florida, 4202 E. Fowler Ave. PHY114, Tampa, FL, 33620, USA","Department of Mathematics, University of South Florida, Tampa, USA 33620"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Florida, 4202 E. Fowler Ave. PHY114, Tampa, FL, 33620, USA","institution_ids":["https://openalex.org/I2613432"]},{"raw_affiliation_string":"Department of Mathematics, University of South Florida, Tampa, USA 33620","institution_ids":["https://openalex.org/I2613432"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5053585643"],"corresponding_institution_ids":["https://openalex.org/I2613432"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.7941,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.82653986,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"34","issue":"2-3","first_page":"241","last_page":"248"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9988999962806702,"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":0.9988999962806702,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9976000189781189,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/adjacency-matrix","display_name":"Adjacency matrix","score":0.7198721170425415},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6952219009399414},{"id":"https://openalex.org/keywords/graph-algebra","display_name":"Graph algebra","score":0.5916661024093628},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5305493474006653},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5061129927635193},{"id":"https://openalex.org/keywords/regular-graph","display_name":"Regular graph","score":0.4960826337337494},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.49089866876602173},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4893414378166199},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47843220829963684},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.40571752190589905},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.3419150114059448},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34059399366378784},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2657671570777893}],"concepts":[{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.7198721170425415},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6952219009399414},{"id":"https://openalex.org/C45961005","wikidata":"https://www.wikidata.org/wiki/Q5597072","display_name":"Graph algebra","level":5,"score":0.5916661024093628},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5305493474006653},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5061129927635193},{"id":"https://openalex.org/C123482549","wikidata":"https://www.wikidata.org/wiki/Q826467","display_name":"Regular graph","level":5,"score":0.4960826337337494},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.49089866876602173},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4893414378166199},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47843220829963684},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.40571752190589905},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.3419150114059448},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34059399366378784},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2657671570777893},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-004-4857-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-004-4857-4","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W40658383","https://openalex.org/W1515707356","https://openalex.org/W1540816429","https://openalex.org/W2010650451","https://openalex.org/W2012945176","https://openalex.org/W2017724359","https://openalex.org/W2022866238","https://openalex.org/W2045020235","https://openalex.org/W2057731281","https://openalex.org/W2065738186","https://openalex.org/W2066462456","https://openalex.org/W2072173518","https://openalex.org/W2078129287","https://openalex.org/W2080224168","https://openalex.org/W2138033161","https://openalex.org/W2313108764","https://openalex.org/W2479778494","https://openalex.org/W4298236575"],"related_works":["https://openalex.org/W2741713059","https://openalex.org/W2028349899","https://openalex.org/W2791053394","https://openalex.org/W2954009223","https://openalex.org/W2029875413","https://openalex.org/W1997435929","https://openalex.org/W2605499662","https://openalex.org/W4285128750","https://openalex.org/W3177365930","https://openalex.org/W1999761254"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}