{"id":"https://openalex.org/W2955208706","doi":"https://doi.org/10.1142/s1793830919500423","title":"Decompositions of some regular graphs into unicyclic graphs of order five","display_name":"Decompositions of some regular graphs into unicyclic graphs of order five","publication_year":2019,"publication_date":"2019-06-27","ids":{"openalex":"https://openalex.org/W2955208706","doi":"https://doi.org/10.1142/s1793830919500423","mag":"2955208706"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830919500423","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830919500423","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/A5046351298","display_name":"P. Paulraja","orcid":"https://orcid.org/0000-0001-5916-784X"},"institutions":[{"id":"https://openalex.org/I98499257","display_name":"Kalasalingam Academy of Research and Education","ror":"https://ror.org/04fm2fn75","country_code":"IN","type":"education","lineage":["https://openalex.org/I98499257"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"P. Paulraja","raw_affiliation_strings":["Department of Mathematics, Kalasalingam Academy of Research and Education, Anand Nagar, Krishnankoil 626 126, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kalasalingam Academy of Research and Education, Anand Nagar, Krishnankoil 626 126, India","institution_ids":["https://openalex.org/I98499257"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036129748","display_name":"T. Sivakaran","orcid":null},"institutions":[{"id":"https://openalex.org/I98499257","display_name":"Kalasalingam Academy of Research and Education","ror":"https://ror.org/04fm2fn75","country_code":"IN","type":"education","lineage":["https://openalex.org/I98499257"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"T. Sivakaran","raw_affiliation_strings":["Department of Mathematics, Kalasalingam Academy of Research and Education, Anand Nagar, Krishnankoil 626 126, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kalasalingam Academy of Research and Education, Anand Nagar, Krishnankoil 626 126, India","institution_ids":["https://openalex.org/I98499257"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046351298"],"corresponding_institution_ids":["https://openalex.org/I98499257"],"apc_list":null,"apc_paid":null,"fwci":0.2385,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.54089651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"11","issue":"04","first_page":"1950042","last_page":"1950042"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":1.0,"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":1.0,"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/T10849","display_name":"Finite Group Theory Research","score":0.9926999807357788,"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/T11130","display_name":"Coding theory and cryptography","score":0.9909999966621399,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7460490465164185},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7032263278961182},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3771512508392334}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7460490465164185},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7032263278961182},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3771512508392334}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830919500423","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830919500423","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W17685837","https://openalex.org/W403078265","https://openalex.org/W1484040084","https://openalex.org/W1764290728","https://openalex.org/W1963501983","https://openalex.org/W1965142549","https://openalex.org/W1967237366","https://openalex.org/W1971956496","https://openalex.org/W1992397972","https://openalex.org/W2013674716","https://openalex.org/W2034645676","https://openalex.org/W2038004087","https://openalex.org/W2045908445","https://openalex.org/W2049195288","https://openalex.org/W2060374617","https://openalex.org/W2068457180","https://openalex.org/W2069903885","https://openalex.org/W2102407078","https://openalex.org/W2118469637","https://openalex.org/W2135393175","https://openalex.org/W2137782524","https://openalex.org/W2792810737","https://openalex.org/W2963545170","https://openalex.org/W2964177894","https://openalex.org/W4210440243","https://openalex.org/W4255206353"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"For":[0],"a":[1,7,25,50,116],"graph":[2,51,76,89,123],"[Formula:":[3,9,13,17,21,32,37,40,46,54,71,77,81,101,124,127,131,137,159,163,167],"see":[4,10,14,18,22,33,38,41,47,55,72,78,82,102,125,128,132,138,160,164,168],"text]":[5,11,15,23,34,39,42,48,56,79,83,103,126,129,133,169],"and":[6,100,118,130,148],"subgraph":[8],"of":[12,20,27,31,69,74,90,98,107,162,185,210],"an":[16,70,136],"text]-decomposition":[19,73,139,161],"is":[24,58,84,140],"partition":[26],"the":[28,61,67,75,95,105,108,113,122,145],"edge":[29],"set":[30],"into":[35,188,206],"subsets":[36],"such":[43],"that":[44,60],"each":[45],"induces":[49],"isomorphic":[52,189],"to":[53,134],"It":[57],"proved":[59,153],"necessary":[62,117],"conditions":[63],"are":[64,152],"sufficient":[65,119],"for":[66,121,144],"existence":[68],"where":[80,166],"any":[85],"simple":[86],"connected":[87,207],"unicyclic":[88,208],"order":[91],"five,":[92,212],"\u00d7":[93],"denotes":[94,104],"tensor":[96],"product":[97],"graphs":[99,147,151,187,205,209],"multiplicity":[106],"edges.":[109],"In":[110],"fact,":[111],"using":[112],"above":[114],"characterization,":[115],"condition":[120],"admit":[135],"obtained.":[141],"Similar":[142],"results":[143],"complete":[146,149,186,203],"multipartite":[150],"in:":[154],"[J.-C.":[155],"Bermond":[156,181],"et":[157,182],"al.":[158,183],"text],":[165],"has":[170],"four":[171],"vertices":[172],"or":[173],"less,":[174],"Discrete":[175],"Math.":[176,214],"19":[177],"(1977)":[178],"113\u2013120,":[179],"J.-C.":[180],"Decomposition":[184],"subgraphs":[190],"with":[191],"five":[192],"verices,":[193],"Ars":[194],"Combin.":[195],"10":[196],"(1980)":[197],"211\u2013254,":[198],"M.":[199],"H.":[200],"Huang,":[201],"Decomposing":[202],"equipartite":[204],"size":[211],"Util.":[213],"97":[215],"(2015)":[216],"109\u2013117].":[217]},"counts_by_year":[{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}