{"id":"https://openalex.org/W1999567003","doi":"https://doi.org/10.1142/s0129054103001790","title":"Interconnection Networks and Their Eigenvalues","display_name":"Interconnection Networks and Their Eigenvalues","publication_year":2003,"publication_date":"2003-06-01","ids":{"openalex":"https://openalex.org/W1999567003","doi":"https://doi.org/10.1142/s0129054103001790","mag":"1999567003"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054103001790","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054103001790","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/A5103708105","display_name":"Ke Qiu","orcid":"https://orcid.org/0009-0006-8700-2982"},"institutions":[{"id":"https://openalex.org/I92688161","display_name":"Acadia University","ror":"https://ror.org/00839we02","country_code":"CA","type":"education","lineage":["https://openalex.org/I92688161"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ke Qiu","raw_affiliation_strings":["Computer Science, Acadia University, Wolfville, Nova Scotia, B4P 2R6, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science, Acadia University, Wolfville, Nova Scotia, B4P 2R6, Canada","institution_ids":["https://openalex.org/I92688161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050881965","display_name":"Sajal K. Das","orcid":"https://orcid.org/0000-0002-9471-0868"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sajal K. Das","raw_affiliation_strings":["Computer Science and Engineering, University of Texas, Arlington, Texas 76019, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering, University of Texas, Arlington, Texas 76019, USA","institution_ids":["https://openalex.org/I189196454"]}]}],"institutions":[],"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":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.15433255,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":"03","first_page":"371","last_page":"389"},"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/T11476","display_name":"Graph theory and applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9962000250816345,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.8021395206451416},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.763241171836853},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6317451596260071},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5766094923019409},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.47012388706207275},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.4654121696949005},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.44077107310295105},{"id":"https://openalex.org/keywords/spectral-graph-theory","display_name":"Spectral graph theory","score":0.4296841025352478},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4184557795524597},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36714887619018555},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2908484935760498},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.19375595450401306},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18889054656028748},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.1302567720413208},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08462047576904297},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.08218169212341309}],"concepts":[{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.8021395206451416},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.763241171836853},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6317451596260071},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5766094923019409},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.47012388706207275},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.4654121696949005},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.44077107310295105},{"id":"https://openalex.org/C74003402","wikidata":"https://www.wikidata.org/wiki/Q3180727","display_name":"Spectral graph theory","level":5,"score":0.4296841025352478},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4184557795524597},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36714887619018555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2908484935760498},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.19375595450401306},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18889054656028748},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.1302567720413208},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08462047576904297},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.08218169212341309},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054103001790","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054103001790","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":9,"referenced_works":["https://openalex.org/W2046805643","https://openalex.org/W2054481961","https://openalex.org/W2073491596","https://openalex.org/W2097755092","https://openalex.org/W2104852618","https://openalex.org/W2151436648","https://openalex.org/W2593708767","https://openalex.org/W2994762488","https://openalex.org/W3141776272"],"related_works":["https://openalex.org/W2408672689","https://openalex.org/W2164804258","https://openalex.org/W228919569","https://openalex.org/W1604651965","https://openalex.org/W2125645599","https://openalex.org/W1524302211","https://openalex.org/W2115084062","https://openalex.org/W2179700442","https://openalex.org/W2121806818","https://openalex.org/W2131847912"],"abstract_inverted_index":{"Interconnection":[0],"networks":[1,22,53,104,169,199],"of":[2,14,20,51,72,76,84,100,102,132,134,145,150,165,180,205],"various":[3],"topologies":[4],"have":[5],"been":[6],"widely":[7],"used":[8],"in":[9,120,183],"designing":[10],"multiprocessor":[11],"architectures.":[12],"Study":[13],"graph":[15,63,78,86,204],"theoretical":[16],"or":[17],"combinatorial":[18,93],"properties":[19,83],"such":[21,170,200],"help":[23],"us":[24],"better":[25],"understand":[26],"them,":[27],"as":[28,30,171,201],"well":[29],"develop":[31],"on":[32,127,193,212],"these":[33,181],"architectures":[34],"more":[35,108,185],"efficient":[36],"parallel":[37],"algorithms":[38],"including":[39,216],"fault-tolerant":[40],"communication/routing":[41],"algorithms.":[42],"In":[43],"this":[44,121],"paper,":[45],"we":[46,95,124,156,189],"analyze":[47],"a":[48,55,77,107,117,142,184,213],"broad":[49],"class":[50],"interconnection":[52,103,138,168],"from":[54],"new":[56,191],"angle":[57],"by":[58,209],"looking":[59],"into":[60],"the":[61,73,85,98,130,135,158,172,202,206,217],"corresponding":[62],"spectra":[64,101,131,149,194],"(i.e.,":[65],"eigenvalues":[66,71,162],"and":[67,163,174,219],"their":[68,113,153],"multiplicities).":[69],"Since":[70],"edjacency":[74],"matrix":[75],"can":[79,105],"reveal":[80],"many":[81],"important":[82],"that":[87,97,147],"are":[88],"closely":[89],"related":[90],"to":[91,111,152],"its":[92],"invariants,":[94],"believe":[96],"study":[99],"be":[106],"unified":[109],"approach":[110],"studying":[112],"topological":[114],"properties.":[115],"As":[116],"first":[118],"step)":[119],"direction,":[122],"here":[123],"mainly":[125],"concentrate":[126],"finding":[128],"out":[129],"some":[133,179,196],"most":[136],"studied":[137],"networks.":[139,221],"Specifically,":[140],"after":[141],"brief":[143],"survey":[144],"results":[146,160,182,192,211],"relate":[148],"graphs":[151],"structural":[154],"properties,":[155],"summarize":[157],"existing":[159],"for":[161,195],"multiplicities":[164],"several":[166],"popular":[167],"hypercube":[173],"mesh.":[175],"We":[176],"also":[177],"derive":[178],"straightforward":[186],"way.":[187],"Then":[188],"present":[190],"other":[197],"known":[198],"line":[203],"hypercube,":[207],"followed":[208],"experimental":[210],"few":[214],"others":[215],"star":[218],"pancake":[220]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
