{"id":"https://openalex.org/W2061755733","doi":"https://doi.org/10.1145/1968613.1968768","title":"Mapping semigroup array operations onto multicomputer with torus topology","display_name":"Mapping semigroup array operations onto multicomputer with torus topology","publication_year":2011,"publication_date":"2011-02-21","ids":{"openalex":"https://openalex.org/W2061755733","doi":"https://doi.org/10.1145/1968613.1968768","mag":"2061755733"},"language":"en","primary_location":{"id":"doi:10.1145/1968613.1968768","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1968613.1968768","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 5th International Conference on Ubiquitous Information Management and Communication","raw_type":"proceedings-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/A5023013354","display_name":"Mikhail S. Tarkov","orcid":null},"institutions":[{"id":"https://openalex.org/I4210138567","display_name":"Institute of Semiconductor Physics","ror":"https://ror.org/03napcw37","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210096333","https://openalex.org/I4210138567"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Mikhail S. Tarkov","raw_affiliation_strings":["A. V. Rzhanov's Institute of Semiconductor Physics SB RAS, Lavrentieva avenue, Novosibirsk, Russia"],"affiliations":[{"raw_affiliation_string":"A. V. Rzhanov's Institute of Semiconductor Physics SB RAS, Lavrentieva avenue, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210138567"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023013354"],"corresponding_institution_ids":["https://openalex.org/I4210138567"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14690084,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"3"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9994999766349792,"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":0.9994999766349792,"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/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9984999895095825,"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9948999881744385,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.8483250141143799},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.8479714393615723},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.684661328792572},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6307744383811951},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.6288560032844543},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.612320065498352},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5358254909515381},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.432380735874176},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.40325218439102173},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3409520089626312},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.25301873683929443},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14328071475028992},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07428887486457825},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07318758964538574}],"concepts":[{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.8483250141143799},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.8479714393615723},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.684661328792572},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6307744383811951},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.6288560032844543},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.612320065498352},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5358254909515381},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.432380735874176},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.40325218439102173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3409520089626312},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.25301873683929443},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14328071475028992},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07428887486457825},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07318758964538574},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1968613.1968768","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1968613.1968768","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 5th International Conference on Ubiquitous Information Management and Communication","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1592274399","https://openalex.org/W1965983690","https://openalex.org/W2135269176","https://openalex.org/W2166156118"],"related_works":["https://openalex.org/W2495029940","https://openalex.org/W195224515","https://openalex.org/W2007173733","https://openalex.org/W2087725382","https://openalex.org/W2392648935","https://openalex.org/W4322716869","https://openalex.org/W2151713270","https://openalex.org/W2279178133","https://openalex.org/W2143269753","https://openalex.org/W2012106299"],"abstract_inverted_index":{"In":[0],"this":[1,30],"paper,":[2],"an":[3,66],"algorithm":[4,20,49,67],"for":[5],"mapping":[6,29,48],"semigroup":[7,55],"array":[8],"operations":[9],"onto":[10,32,41],"distributed":[11],"computer":[12],"systems":[13],"with":[14,34],"toroidal":[15],"topology":[16],"is":[17,21],"analyzed.":[18],"This":[19],"based":[22],"on":[23,58],"the":[24,39,46,51,54,62],"well-known":[25],"butterfly":[26],"scheme":[27,31],"and":[28],"hypercube":[33,40],"subsequent":[35],"XOR":[36],"-embedding":[37],"of":[38,53,71],"torus.":[42],"We":[43],"show":[44],"that":[45],"hypercube-onto-torus":[47],"provides":[50],"time":[52,63],"operation":[56],"implementation":[57],"torus":[59],"less":[60],"than":[61],"provided":[64],"by":[65],"using":[68],"a":[69],"sequence":[70],"cyclic":[72],"data":[73],"shifts.":[74]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}