{"id":"https://openalex.org/W2097189325","doi":"https://doi.org/10.1002/jgt.3190060308","title":"Atoll decompositions of graphs","display_name":"Atoll decompositions of graphs","publication_year":1982,"publication_date":"1982-09-01","ids":{"openalex":"https://openalex.org/W2097189325","doi":"https://doi.org/10.1002/jgt.3190060308","mag":"2097189325"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190060308","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190060308","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","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/A5048753010","display_name":"Fred Buckley","orcid":null},"institutions":[{"id":"https://openalex.org/I142823887","display_name":"St. John's University","ror":"https://ror.org/00bgtad15","country_code":"US","type":"education","lineage":["https://openalex.org/I142823887"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Fred Buckley","raw_affiliation_strings":["St. John's University Staten Island, NY 10301"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. John's University Staten Island, NY 10301","institution_ids":["https://openalex.org/I142823887"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048753010"],"corresponding_institution_ids":["https://openalex.org/I142823887"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.5488,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.71211147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"3","first_page":"317","last_page":"324"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9990000128746033,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/atoll","display_name":"Atoll","score":0.8451122045516968},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.713701605796814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6593348979949951},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5965384840965271},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5511212348937988},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5182123780250549},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.457576721906662},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3466797471046448},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.05539461970329285},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.05370381474494934}],"concepts":[{"id":"https://openalex.org/C117480383","wikidata":"https://www.wikidata.org/wiki/Q42523","display_name":"Atoll","level":3,"score":0.8451122045516968},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.713701605796814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6593348979949951},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5965384840965271},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5511212348937988},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5182123780250549},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.457576721906662},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3466797471046448},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.05539461970329285},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.05370381474494934},{"id":"https://openalex.org/C505870484","wikidata":"https://www.wikidata.org/wiki/Q180538","display_name":"Fishery","level":1,"score":0.0},{"id":"https://openalex.org/C77044568","wikidata":"https://www.wikidata.org/wiki/Q184358","display_name":"Reef","level":2,"score":0.0},{"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:10.1002/jgt.3190060308","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190060308","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8100000023841858,"display_name":"Life below water","id":"https://metadata.un.org/sdg/14"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W96889678","https://openalex.org/W876312943","https://openalex.org/W1544811519","https://openalex.org/W1983018122","https://openalex.org/W2012896465","https://openalex.org/W2026263715","https://openalex.org/W2061873310","https://openalex.org/W2090154053","https://openalex.org/W4213214460"],"related_works":["https://openalex.org/W3176305001","https://openalex.org/W2466851289","https://openalex.org/W2956617178","https://openalex.org/W1011586014","https://openalex.org/W659381827","https://openalex.org/W1489475093","https://openalex.org/W2097053297","https://openalex.org/W10845221","https://openalex.org/W4206635406","https://openalex.org/W647535688"],"abstract_inverted_index":{"Abstract":[0],"An":[1],"island":[2,45],"decomposition":[3,46],"of":[4,9,12,20,25],"a":[5,10],"graph":[6],"G":[7],"consists":[8],"set":[11,19],"vertex\u2010disjoint":[13],"paths":[14,27,42],"which":[15],"cover":[16],"the":[17,23,26],"vertex":[18],"G.":[21],"If":[22],"endpoints":[24],"are":[28,53],"mutually":[29],"nonadjacent,":[30],"then":[31],"we":[32],"have":[33],"an":[34,44],"atoll":[35,50,56],"decomposition.":[36,51],"We":[37],"characterize":[38],"graphs":[39],"requiring":[40],"two":[41],"in":[43],"yet":[47],"having":[48],"no":[49],"Results":[52],"given":[54],"relating":[55],"decompositions":[57],"to":[58],"cutpoints":[59],"and":[60],"Hamiltonian":[61],"blocks.":[62]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
