{"id":"https://openalex.org/W1974828328","doi":"https://doi.org/10.1142/s1793830914500487","title":"$\\widetilde{S}_k$-Factorization of the symmetric digraph of wreath product of graphs","display_name":"$\\widetilde{S}_k$-Factorization of the symmetric digraph of wreath product of graphs","publication_year":2014,"publication_date":"2014-05-26","ids":{"openalex":"https://openalex.org/W1974828328","doi":"https://doi.org/10.1142/s1793830914500487","mag":"1974828328"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830914500487","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500487","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5102807616","display_name":"P. Hemalatha","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"P. Hemalatha","raw_affiliation_strings":["Department of Mathematics, Vellalar College for Women (Autonomous), Erode 638012, Tamilnadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vellalar College for Women (Autonomous), Erode 638012, Tamilnadu, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019767048","display_name":"A. Muthusamy","orcid":"https://orcid.org/0000-0001-9014-6916"},"institutions":[{"id":"https://openalex.org/I141431873","display_name":"Periyar University","ror":"https://ror.org/05crs8s98","country_code":"IN","type":"education","lineage":["https://openalex.org/I141431873"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"A. Muthusamy","raw_affiliation_strings":["Department of Mathematics, Periyar University, Salem, Tamilnadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Periyar University, Salem, Tamilnadu, India","institution_ids":["https://openalex.org/I141431873"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102807616"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2093,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56434829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"06","issue":"04","first_page":"1450048","last_page":"1450048"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9937000274658203,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9850999712944031,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.825883150100708},{"id":"https://openalex.org/keywords/wreath-product","display_name":"Wreath product","score":0.7551419734954834},{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.7285834550857544},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7283450365066528},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6822506785392761},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5813977718353271},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.346457302570343},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3317270874977112},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2106555998325348},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0573258101940155},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05088791251182556}],"concepts":[{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.825883150100708},{"id":"https://openalex.org/C95635736","wikidata":"https://www.wikidata.org/wiki/Q1786640","display_name":"Wreath product","level":3,"score":0.7551419734954834},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.7285834550857544},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7283450365066528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6822506785392761},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5813977718353271},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.346457302570343},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3317270874977112},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2106555998325348},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0573258101940155},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05088791251182556}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830914500487","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500487","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1972221471","https://openalex.org/W2034443601","https://openalex.org/W4210471017","https://openalex.org/W4210700137"],"related_works":["https://openalex.org/W2038088825","https://openalex.org/W2921632378","https://openalex.org/W1975203667","https://openalex.org/W2370328482","https://openalex.org/W4287882779","https://openalex.org/W2046896701","https://openalex.org/W2140169421","https://openalex.org/W2265849288","https://openalex.org/W2394105393","https://openalex.org/W1974828328"],"abstract_inverted_index":{"In":[0,37],"this":[1],"paper,":[2],"we":[3,69],"show":[4],"that":[5],"the":[6,12,52,78],"necessary":[7,73],"and":[8,95],"sufficient":[9,75],"condition":[10],"for":[11,32,51,63,77,89],"existence":[13,53,79],"of":[14,19,45,54,59,80,85],"an":[15,55,81],"[Formula:":[16,20,56,60,82,86],"see":[17,21,57,61,83,87],"text]-factorization":[18,58,84],"text]":[22,62],"is":[23],"n":[24],"\u2261":[25],"0":[26],"(":[27],"mod":[28],"k(k":[29],"-":[30],"1)),":[31],"all":[33,64,90],"m":[34,65,96],">":[35,97],"3.":[36,67,98],"fact,":[38],"our":[39],"result":[40,44],"together":[41],"with":[42],"a":[43,48],"Ushio":[46],"gives":[47],"complete":[49],"solution":[50],"\u2265":[66,93],"Further,":[68],"have":[70],"obtained":[71],"some":[72],"or":[74],"conditions":[76],"text],":[88],"even":[91],"k":[92],"4":[94]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}