{"id":"https://openalex.org/W2152267550","doi":"https://doi.org/10.1142/s0129054197000203","title":"Triple Loop Networks with Minimal Transmission Delay","display_name":"Triple Loop Networks with Minimal Transmission Delay","publication_year":1997,"publication_date":"1997-09-01","ids":{"openalex":"https://openalex.org/W2152267550","doi":"https://doi.org/10.1142/s0129054197000203","mag":"2152267550"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054197000203","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054197000203","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"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":"International Journal of Foundations of Computer Science","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/A5108284194","display_name":"Xing\u2010De Jia","orcid":null},"institutions":[{"id":"https://openalex.org/I13511017","display_name":"Texas State University","ror":"https://ror.org/05h9q1g27","country_code":"US","type":"education","lineage":["https://openalex.org/I13511017"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xingde Jia","raw_affiliation_strings":["Department of Mathematics, Southwest Texas State University, San Marcos, Texas 78666-4616, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Southwest Texas State University, San Marcos, Texas 78666-4616, USA","institution_ids":["https://openalex.org/I13511017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110114523","display_name":"Weidong Su","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Weidong Su","raw_affiliation_strings":["LDDS WorldCom, Inc., 12500 San Pedro, Suite 400, San Antonio, Texas, USA"],"affiliations":[{"raw_affiliation_string":"LDDS WorldCom, Inc., 12500 San Pedro, Suite 400, San Antonio, Texas, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108284194"],"corresponding_institution_ids":["https://openalex.org/I13511017"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.2575699,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"08","issue":"03","first_page":"305","last_page":"328"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":1.0,"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":1.0,"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":0.9991999864578247,"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/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9947999715805054,"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/loop","display_name":"Loop (graph theory)","score":0.7464950084686279},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.6811999082565308},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5907780528068542},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5872611403465271},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5685425996780396},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5350889563560486},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47837033867836},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4537709653377533},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.44628000259399414},{"id":"https://openalex.org/keywords/transmission-delay","display_name":"Transmission delay","score":0.42104679346084595},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34203478693962097},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28367385268211365},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12614494562149048}],"concepts":[{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.7464950084686279},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.6811999082565308},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5907780528068542},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5872611403465271},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5685425996780396},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5350889563560486},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47837033867836},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4537709653377533},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.44628000259399414},{"id":"https://openalex.org/C108921912","wikidata":"https://www.wikidata.org/wiki/Q7834639","display_name":"Transmission delay","level":3,"score":0.42104679346084595},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34203478693962097},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28367385268211365},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12614494562149048},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054197000203","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054197000203","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"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":"International Journal of Foundations of Computer Science","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2070252991","https://openalex.org/W2117548279","https://openalex.org/W2807449856","https://openalex.org/W238211858","https://openalex.org/W2025727968","https://openalex.org/W2941201715","https://openalex.org/W2803761277","https://openalex.org/W4297742300","https://openalex.org/W2196131019","https://openalex.org/W2112041331"],"abstract_inverted_index":{"A":[0,21],"multiloop":[1,36],"network":[2,34,65,87],"is":[3],"a":[4,19,49,62,84],"Cayley":[5],"digraph":[6],"of":[7,13,22,28,61,83],"the":[8,32,58,80,101],"additive":[9],"group":[10],"\u2124":[11],"m":[12,16],"integers":[14],"modulo":[15],"generated":[17],"by":[18,115],"set":[20],"k":[23],"\u2265":[24,46],"2":[25,47],"\"steps\".":[26],"Because":[27],"their":[29],"application":[30],"to":[31,74,96],"computer":[33],"design,":[35],"networks":[37],"have":[38],"been":[39],"studied":[40],"extensively.":[41],"Given":[42],"an":[43],"integer":[44],"d":[45],"and":[48,76,117,120],"real":[50],"number":[51],"r":[52],"&gt;":[53],"1,":[54],"let":[55,77],"m(d,3)":[56],"be":[57,79],"maximum":[59,81],"size":[60,82],"triple":[63,85],"loop":[64,86],"with":[66,88],"transmission":[67,90],"delay":[68,91],"(diameter)":[69],"less":[70,92],"than":[71,93],"or":[72,94],"equal":[73,95],"d,":[75],"m*(r,3)":[78],"average":[89],"r.":[97],"In":[98],"this":[99],"paper,":[100],"following":[102],"lower":[103,113],"bounds":[104,114],"are":[105],"proved:":[106],"[Formula:":[107],"see":[108],"text]":[109],"which":[110],"improve":[111],"earlier":[112],"Jia":[116],"Aguil\u00f3,":[118],"Fiol":[119],"Garcia.":[121]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
