{"id":"https://openalex.org/W2135637754","doi":"https://doi.org/10.1142/s0129054100000132","title":"A METHOD FOR EVALUATING THE EXPECTED LOAD OF DYNAMIC TREE EMBEDDINGS IN HYPERCUBES","display_name":"A METHOD FOR EVALUATING THE EXPECTED LOAD OF DYNAMIC TREE EMBEDDINGS IN HYPERCUBES","publication_year":2000,"publication_date":"2000-06-01","ids":{"openalex":"https://openalex.org/W2135637754","doi":"https://doi.org/10.1142/s0129054100000132","mag":"2135637754"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054100000132","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054100000132","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/A5087894632","display_name":"Keqin Li","orcid":"https://orcid.org/0000-0001-5224-4048"},"institutions":[{"id":"https://openalex.org/I157455823","display_name":"SUNY New Paltz","ror":"https://ror.org/03j3dv688","country_code":"US","type":"education","lineage":["https://openalex.org/I157455823"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"KEQIN LI","raw_affiliation_strings":["Department of Mathematics and Computer Science, State University of New York, New Paltz, New York 12561, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, State University of New York, New Paltz, New York 12561, U.S.A","institution_ids":["https://openalex.org/I157455823"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087894632"],"corresponding_institution_ids":["https://openalex.org/I157455823"],"apc_list":null,"apc_paid":null,"fwci":0.8523,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.81469739,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"02","first_page":"207","last_page":"230"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9988999962806702,"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/hypercube","display_name":"Hypercube","score":0.8425755500793457},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.7747205495834351},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6712645292282104},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5921913385391235},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5663010478019714},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5383568406105042},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5293071269989014},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4756091237068176},{"id":"https://openalex.org/keywords/recurrence-relation","display_name":"Recurrence relation","score":0.4539700150489807},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4490344524383545},{"id":"https://openalex.org/keywords/tree-structure","display_name":"Tree structure","score":0.42644429206848145},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41712841391563416},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3778805136680603},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36781010031700134},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34125465154647827},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2825026512145996},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.23313966393470764}],"concepts":[{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.8425755500793457},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.7747205495834351},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6712645292282104},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5921913385391235},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5663010478019714},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5383568406105042},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5293071269989014},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4756091237068176},{"id":"https://openalex.org/C201292218","wikidata":"https://www.wikidata.org/wiki/Q740970","display_name":"Recurrence relation","level":2,"score":0.4539700150489807},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4490344524383545},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.42644429206848145},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41712841391563416},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3778805136680603},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36781010031700134},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34125465154647827},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2825026512145996},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.23313966393470764},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054100000132","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054100000132","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":[{"id":"https://openalex.org/F4320306101","display_name":"National Aeronautics and Space Administration","ror":"https://ror.org/027ka1x80"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1698396769","https://openalex.org/W1967644553","https://openalex.org/W1981467920","https://openalex.org/W2011337949","https://openalex.org/W2012223233","https://openalex.org/W2033562398","https://openalex.org/W2042112191","https://openalex.org/W2056986113","https://openalex.org/W2080806579","https://openalex.org/W2129259156","https://openalex.org/W2162335953","https://openalex.org/W2915383908"],"related_works":["https://openalex.org/W195224515","https://openalex.org/W2007173733","https://openalex.org/W2495029940","https://openalex.org/W2401906798","https://openalex.org/W2392648935","https://openalex.org/W4322716869","https://openalex.org/W2143269753","https://openalex.org/W1487268105","https://openalex.org/W2134058137","https://openalex.org/W2087725382"],"abstract_inverted_index":{"A":[0],"key":[1],"issue":[2],"in":[3,20,49,59,70,169],"performing":[4],"tree":[5,56,72,76,167],"structured":[6],"parallel":[7,16,22],"computations":[8],"is":[9,43,125],"to":[10,82,97,113,127,164],"distribute":[11],"process":[12,143],"components":[13],"of":[14,40,46,53,86,122,131,138,141,147],"a":[15,21,54,75,142],"program":[17],"over":[18],"processors":[19],"computer":[23],"at":[24],"run":[25],"time":[26],"such":[27],"that":[28,65,136],"both":[29],"the":[30,44,51,67,99,128,134,139,156],"maximum":[31],"load":[32,69,101],"and":[33,118,133],"dilation":[34,108],"are":[35,95,111,145],"minimized.":[36],"The":[37,120],"main":[38],"contribution":[39],"this":[41],"paper":[42],"application":[45],"recurrence":[47,63,92,123],"relations":[48,64,124],"studying":[50,165],"performance":[52],"dynamic":[55,166],"embedding":[57],"algorithm":[58],"hypercubes.":[60],"We":[61],"develop":[62],"characterize":[66],"expected":[68,100,115],"randomized":[71],"embeddings":[73,137],"where,":[74],"grows":[77],"by":[78],"letting":[79],"its":[80],"nodes":[81],"take":[83],"random":[84],"walks":[85],"short":[87],"distance.":[88],"By":[89],"using":[90],"these":[91],"relations,":[93],"we":[94,110],"able":[96,112],"calculate":[98],"on":[102,155],"each":[103,148],"processor.":[104],"Therefore,":[105],"for":[106],"constant":[107],"embeddings,":[109],"evaluate":[114],"loads":[116],"numerically":[117],"analytically.":[119],"applicability":[121],"due":[126],"recursive":[129],"structure":[130],"trees":[132],"fact":[135],"subtrees":[140],"node":[144],"independent":[146],"other.":[149],"Our":[150],"methodology":[151],"does":[152],"not":[153],"depend":[154],"hypercube":[157],"topology.":[158],"Hence,":[159],"it":[160],"can":[161],"be":[162],"applied":[163],"growing":[168],"other":[170],"networks.":[171]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
