{"id":"https://openalex.org/W4390714308","doi":"https://doi.org/10.55016/ojs/cdm.v17i2.67832","title":"On uniformly resolvable $(C_4,K_{1,3})$-designs","display_name":"On uniformly resolvable $(C_4,K_{1,3})$-designs","publication_year":2022,"publication_date":"2022-12-29","ids":{"openalex":"https://openalex.org/W4390714308","doi":"https://doi.org/10.55016/ojs/cdm.v17i2.67832"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.55016/ojs/cdm.v17i2.67832","pdf_url":"https://cdm.ucalgary.ca/article/download/67832/56326","source":{"id":"https://openalex.org/S2498033248","display_name":"Contributions to Discrete Mathematics","issn_l":"1715-0868","issn":["1715-0868"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310312896","host_organization_name":"University of Calgary Press","host_organization_lineage":["https://openalex.org/P4310312896"],"host_organization_lineage_names":["University of Calgary Press"],"type":"journal"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://cdm.ucalgary.ca/article/download/67832/56326","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064620723","display_name":"Paola Bonacini","orcid":"https://orcid.org/0000-0003-0120-0111"},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"funder","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paola Bonacini","raw_affiliation_strings":["University of Catania"],"affiliations":[{"raw_affiliation_string":"University of Catania","institution_ids":["https://openalex.org/I39063666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005539548","display_name":"Selda K\u00fc\u00e7\u00fck\u00e7i\u0307f\u00e7i\u0307","orcid":"https://orcid.org/0000-0002-4954-3116"},"institutions":[{"id":"https://openalex.org/I1351752","display_name":"Ko\u00e7 University","ror":"https://ror.org/00jzwgz36","country_code":"TR","type":"funder","lineage":["https://openalex.org/I1351752"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Selda K\u00fc\u00e7\u00fck\u00e7if\u00e7i","raw_affiliation_strings":["Ko\u00e7 University"],"affiliations":[{"raw_affiliation_string":"Ko\u00e7 University","institution_ids":["https://openalex.org/I1351752"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065563360","display_name":"Salvatore Milici","orcid":"https://orcid.org/0000-0002-2184-8567"},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"funder","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Salvatore Milici","raw_affiliation_strings":["University of Catania"],"affiliations":[{"raw_affiliation_string":"University of Catania","institution_ids":["https://openalex.org/I39063666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013266656","display_name":"Emine \u015eule Yaz\u0131c\u0131","orcid":"https://orcid.org/0000-0001-6824-451X"},"institutions":[{"id":"https://openalex.org/I1351752","display_name":"Ko\u00e7 University","ror":"https://ror.org/00jzwgz36","country_code":"TR","type":"funder","lineage":["https://openalex.org/I1351752"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"E. \u015eule Yaz\u0131c\u0131","raw_affiliation_strings":["Ko\u00e7 University"],"affiliations":[{"raw_affiliation_string":"Ko\u00e7 University","institution_ids":["https://openalex.org/I1351752"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":60},"biblio":{"volume":"17","issue":"2","first_page":"1","last_page":"22"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9992,"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":0.9992,"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/T11130","display_name":"Coding theory and cryptography","score":0.9206,"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/complete-graph","display_name":"Complete graph","score":0.4551149}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8345469},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8267733},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5913243},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.58296895},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.46190745},{"id":"https://openalex.org/C125080357","wikidata":"https://www.wikidata.org/wiki/Q45715","display_name":"Complete graph","level":3,"score":0.4551149},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39077324},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07070261},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.55016/ojs/cdm.v17i2.67832","pdf_url":"https://cdm.ucalgary.ca/article/download/67832/56326","source":{"id":"https://openalex.org/S2498033248","display_name":"Contributions to Discrete Mathematics","issn_l":"1715-0868","issn":["1715-0868"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310312896","host_organization_name":"University of Calgary Press","host_organization_lineage":["https://openalex.org/P4310312896"],"host_organization_lineage_names":["University of Calgary Press"],"type":"journal"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"http://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/11188","pdf_url":"https://cdm21054.contentdm.oclc.org/digital/api/collection/IR/id/11188/download","source":{"id":"https://openalex.org/S4306401341","display_name":"Digital Collections portal (Ko\u00e7 University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I1351752","host_organization_name":"Ko\u00e7 University","host_organization_lineage":["https://openalex.org/I1351752"],"host_organization_lineage_names":["Ko\u00e7 University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.55016/ojs/cdm.v17i2.67832","pdf_url":"https://cdm.ucalgary.ca/article/download/67832/56326","source":{"id":"https://openalex.org/S2498033248","display_name":"Contributions to Discrete Mathematics","issn_l":"1715-0868","issn":["1715-0868"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310312896","host_organization_name":"University of Calgary Press","host_organization_lineage":["https://openalex.org/P4310312896"],"host_organization_lineage_names":["University of Calgary Press"],"type":"journal"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":23,"referenced_works":["https://openalex.org/W1732831098","https://openalex.org/W180251981","https://openalex.org/W1923007281","https://openalex.org/W1968128554","https://openalex.org/W2043898581","https://openalex.org/W2060902757","https://openalex.org/W2073341599","https://openalex.org/W2077189200","https://openalex.org/W2092787561","https://openalex.org/W2159761631","https://openalex.org/W2183068815","https://openalex.org/W2220203787","https://openalex.org/W2625922890","https://openalex.org/W2741500811","https://openalex.org/W2761333931","https://openalex.org/W2914594656","https://openalex.org/W2963166896","https://openalex.org/W2963990843","https://openalex.org/W2964093181","https://openalex.org/W4254448470","https://openalex.org/W4291538111","https://openalex.org/W4292096394","https://openalex.org/W4302419113"],"related_works":["https://openalex.org/W4320341663","https://openalex.org/W4310072706","https://openalex.org/W4308764347","https://openalex.org/W4226229904","https://openalex.org/W4224909712","https://openalex.org/W3165894764","https://openalex.org/W2952424006","https://openalex.org/W2358874518","https://openalex.org/W2135164615","https://openalex.org/W1702221854"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"consider":[4],"the":[5,10,31,37,40,45],"uniformly":[6],"resolvable":[7],"decompositions":[8],"of":[9,49],"complete":[11],"graph":[12],"$K_v$":[13],"minus":[14],"a":[15],"1-factor":[16],"$(K_v":[17],"\u2212":[18],"I)$":[19],"into":[20],"subgraphs":[21],"where":[22],"each":[23],"resolution":[24,46],"class":[25],"contains":[26],"only":[27],"blocks":[28],"isomorphic":[29],"to":[30],"same":[32],"graph.":[33],"We":[34],"completely":[35],"determine":[36],"spectrum":[38],"for":[39],"case":[41],"in":[42],"which":[43],"all":[44],"classes":[47],"consist":[48],"either":[50],"4-cycles":[51],"or":[52],"3-stars.":[53]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4390714308","counts_by_year":[],"updated_date":"2025-01-24T07:10:15.662275","created_date":"2024-01-13"}