{"id":"https://openalex.org/W2038628570","doi":"https://doi.org/10.1016/s1571-0661(04)81013-2","title":"An Optimal Family of Directed, Bounded-Degree Broadcast Networks","display_name":"An Optimal Family of Directed, Bounded-Degree Broadcast Networks","publication_year":2003,"publication_date":"2003-04-01","ids":{"openalex":"https://openalex.org/W2038628570","doi":"https://doi.org/10.1016/s1571-0661(04)81013-2","mag":"2038628570"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(04)81013-2","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)81013-2","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(04)81013-2","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083519582","display_name":"Michael J. Dinneen","orcid":"https://orcid.org/0000-0001-9977-525X"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Michael J. Dinneen","raw_affiliation_strings":["Department of Computer Science, University of Auckland, Auckland, New Zealand","Dept. of Computer Science, University of Auckland Auckland, New Zealand"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]},{"raw_affiliation_string":"Dept. of Computer Science, University of Auckland Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032471055","display_name":"Nian Hong Zhou","orcid":"https://orcid.org/0000-0003-2889-5312"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Nian (Alfred)Zhou","raw_affiliation_strings":["Department of Computer Science, University of Auckland, Auckland, New Zealand","Dept. of Computer Science, University of Auckland Auckland, New Zealand"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]},{"raw_affiliation_string":"Dept. of Computer Science, University of Auckland Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032471055","https://openalex.org/A5083519582"],"corresponding_institution_ids":["https://openalex.org/I154130895"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15986655,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"78","issue":null,"first_page":"196","last_page":"208"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9911999702453613,"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"}},{"id":"https://openalex.org/T10083","display_name":"Graphene research and applications","score":0.9853000044822693,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.8358385562896729},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6890251040458679},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6849750280380249},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6628695726394653},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6438450813293457},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5800807476043701},{"id":"https://openalex.org/keywords/broadcasting","display_name":"Broadcasting (networking)","score":0.4796624481678009},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.44731199741363525},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3908899426460266},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3862813413143158},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.34926438331604004},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32756221294403076}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.8358385562896729},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6890251040458679},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6849750280380249},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6628695726394653},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6438450813293457},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5800807476043701},{"id":"https://openalex.org/C110157686","wikidata":"https://www.wikidata.org/wiki/Q922122","display_name":"Broadcasting (networking)","level":2,"score":0.4796624481678009},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.44731199741363525},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3908899426460266},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3862813413143158},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.34926438331604004},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32756221294403076},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s1571-0661(04)81013-2","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)81013-2","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(04)81013-2","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)81013-2","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W122190479","https://openalex.org/W961766690","https://openalex.org/W1484400462","https://openalex.org/W1500126306","https://openalex.org/W1551152239","https://openalex.org/W1966326592","https://openalex.org/W1985421025","https://openalex.org/W2003858305","https://openalex.org/W2041230646","https://openalex.org/W2049528772","https://openalex.org/W2058322021","https://openalex.org/W2068738660","https://openalex.org/W2083016976","https://openalex.org/W2482504539","https://openalex.org/W2950999855","https://openalex.org/W4210553238","https://openalex.org/W4285719527","https://openalex.org/W6604986900","https://openalex.org/W6629012899"],"related_works":["https://openalex.org/W3161230432","https://openalex.org/W1487201914","https://openalex.org/W280458463","https://openalex.org/W1170131723","https://openalex.org/W4301429470","https://openalex.org/W2168900540","https://openalex.org/W2125310826","https://openalex.org/W2380536887","https://openalex.org/W4367190712","https://openalex.org/W1779312057"],"abstract_inverted_index":{"Increasingly,":[0],"the":[1,36,41,58,73],"design":[2,23],"of":[3,14,44,78,96,110],"efficient":[4],"computer":[5,15],"networks":[6,81],"and":[7,30,88,116],"multi-processor":[8],"configurations":[9],"are":[10,18,25],"considered":[11],"important":[12],"applications":[13],"science.":[16],"There":[17],"some":[19],"constraints":[20],"in":[21],"network":[22],"which":[24,39],"usually":[26],"created":[27],"by":[28],"economic":[29],"physical":[31],"limitations.":[32],"One":[33],"constraint":[34,53],"is":[35,40,54],"bounded":[37],"degree,":[38],"limited":[42],"number":[43,109],"connections":[45],"between":[46],"one":[47],"node":[48,86],"to":[49,65],"others.":[50],"Another":[51],"possible":[52],"a":[55,61,68,76,94,106],"bound":[56],"on":[57,85],"time":[59,118],"that":[60],"message":[62],"can":[63],"afford":[64],"take":[66],"during":[67],"\u201cbroadcast\u201d.":[69],"We":[70,91],"present,":[71],"for":[72],"first":[74],"time,":[75],"set":[77],"largest-known":[79],"directed":[80],"satisfied":[82],"specified":[83],"bounds":[84],"degree":[87,114],"broadcast":[89,100,117],"time.":[90],"also":[92],"presents":[93],"family":[95],"optimal":[97],"(\u0394,":[98],"\u0394+1)":[99],"digraphs.":[101],"That":[102],"is,":[103],"digraphs":[104],"with":[105],"proven":[107],"maximum":[108,113],"nodes,":[111],"having":[112],"\u0394":[115],"at":[119],"most":[120],"\u0394+1.":[121]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}