On synchronous strictly non-blocking concentrators and generalized-concentrators
The optimal bound of (n-m+c)c+(m-c) and an Omega (k(n-m+c)c/sup 1/k/) lower bound on the size of synchronous strictly non-blocking c-limited (n,m)-concentrators with depth 1 and depth k respectively are proved. A consequence of the lower-bound result is an Theta (n/sup 1+1/k/) bound on the size of s...
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| description | The optimal bound of (n-m+c)c+(m-c) and an Omega (k(n-m+c)c/sup 1/k/) lower bound on the size of synchronous strictly non-blocking c-limited (n,m)-concentrators with depth 1 and depth k respectively are proved. A consequence of the lower-bound result is an Theta (n/sup 1+1/k/) bound on the size of synchronous strictly non-blocking fixed ratio gamma n-limited ( alpha n, beta n)-concentrators ( gamma < beta ) with constant depth k. For synchronous strictly non-blocking (c,r)-limited (n,m)-generalized-concentrators, the optimal size of nc-(/sup m-c///sub r/)(c-r) for depth 1 and a lower bound size-depth tradeoff Omega ((n-/sup m///sub r/+/sup c///sub r/)r/sup k-1/k/c/sup 1/k/) for constant depth k and r=o(c) are also presented.< > |
| doi_str_mv | 10.1109/IPPS.1993.262917 |
| format | Conference Proceeding |
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A consequence of the lower-bound result is an Theta (n/sup 1+1/k/) bound on the size of synchronous strictly non-blocking fixed ratio gamma n-limited ( alpha n, beta n)-concentrators ( gamma < beta ) with constant depth k. For synchronous strictly non-blocking (c,r)-limited (n,m)-generalized-concentrators, the optimal size of nc-(/sup m-c///sub r/)(c-r) for depth 1 and a lower bound size-depth tradeoff Omega ((n-/sup m///sub r/+/sup c///sub r/)r/sup k-1/k/c/sup 1/k/) for constant depth k and r=o(c) are also presented.< ></description><identifier>ISBN: 9780818634420</identifier><identifier>ISBN: 0818634421</identifier><identifier>DOI: 10.1109/IPPS.1993.262917</identifier><language>eng</language><publisher>IEEE Comput. Soc. Press</publisher><subject>Computer networks ; Computer science ; Concurrent computing ; Connectors ; Information resources ; Integrated circuit interconnections ; Mediation ; Multiprocessor interconnection networks ; Pattern analysis ; Sorting</subject><ispartof>[1993] Proceedings Seventh International Parallel Processing Symposium, 1993, p.406-412</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/262917$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,780,784,789,790,2056,4047,4048,27923,54918</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/262917$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Dai, H.K.</creatorcontrib><title>On synchronous strictly non-blocking concentrators and generalized-concentrators</title><title>[1993] Proceedings Seventh International Parallel Processing Symposium</title><addtitle>IPPS</addtitle><description>The optimal bound of (n-m+c)c+(m-c) and an Omega (k(n-m+c)c/sup 1/k/) lower bound on the size of synchronous strictly non-blocking c-limited (n,m)-concentrators with depth 1 and depth k respectively are proved. A consequence of the lower-bound result is an Theta (n/sup 1+1/k/) bound on the size of synchronous strictly non-blocking fixed ratio gamma n-limited ( alpha n, beta n)-concentrators ( gamma < beta ) with constant depth k. For synchronous strictly non-blocking (c,r)-limited (n,m)-generalized-concentrators, the optimal size of nc-(/sup m-c///sub r/)(c-r) for depth 1 and a lower bound size-depth tradeoff Omega ((n-/sup m///sub r/+/sup c///sub r/)r/sup k-1/k/c/sup 1/k/) for constant depth k and r=o(c) are also presented.< ></description><subject>Computer networks</subject><subject>Computer science</subject><subject>Concurrent computing</subject><subject>Connectors</subject><subject>Information resources</subject><subject>Integrated circuit interconnections</subject><subject>Mediation</subject><subject>Multiprocessor interconnection networks</subject><subject>Pattern analysis</subject><subject>Sorting</subject><isbn>9780818634420</isbn><isbn>0818634421</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>1993</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNpVj8tKAzEYRgMiKHX24iovMGOuM8lSipdCoQN2X3L5U6NjIsm4GJ_eQt14Nmdx4IMPoVtKOkqJvt-M42tHteYd65mmwwVq9KCIoqrnQjByhZpa38kJKVUv2TUadwnXJbm3klP-rrjOJbp5WnDKqbVTdh8xHbHLyUGai5lzqdgkj4-QoJgp_oBv_9UbdBnMVKH58wrtnx7365d2u3verB-2bVR6boOlxHunLJV-8MA145YHKk4GJ23gFpTVPQlemMAHDjwwofsQpFNqEJKv0N15NgLA4avET1OWw_k1_wWl-U_w</recordid><startdate>1993</startdate><enddate>1993</enddate><creator>Dai, H.K.</creator><general>IEEE Comput. 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Press</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>1993</creationdate><title>On synchronous strictly non-blocking concentrators and generalized-concentrators</title><author>Dai, H.K.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i89t-fb10ddc8b15d7de3923b3f14923ec5bf3be8b960fd4af373e3f2496ff5c887453</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>1993</creationdate><topic>Computer networks</topic><topic>Computer science</topic><topic>Concurrent computing</topic><topic>Connectors</topic><topic>Information resources</topic><topic>Integrated circuit interconnections</topic><topic>Mediation</topic><topic>Multiprocessor interconnection networks</topic><topic>Pattern analysis</topic><topic>Sorting</topic><toplevel>online_resources</toplevel><creatorcontrib>Dai, H.K.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Dai, H.K.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>On synchronous strictly non-blocking concentrators and generalized-concentrators</atitle><btitle>[1993] Proceedings Seventh International Parallel Processing Symposium</btitle><stitle>IPPS</stitle><date>1993</date><risdate>1993</risdate><spage>406</spage><epage>412</epage><pages>406-412</pages><isbn>9780818634420</isbn><isbn>0818634421</isbn><abstract>The optimal bound of (n-m+c)c+(m-c) and an Omega (k(n-m+c)c/sup 1/k/) lower bound on the size of synchronous strictly non-blocking c-limited (n,m)-concentrators with depth 1 and depth k respectively are proved. A consequence of the lower-bound result is an Theta (n/sup 1+1/k/) bound on the size of synchronous strictly non-blocking fixed ratio gamma n-limited ( alpha n, beta n)-concentrators ( gamma < beta ) with constant depth k. For synchronous strictly non-blocking (c,r)-limited (n,m)-generalized-concentrators, the optimal size of nc-(/sup m-c///sub r/)(c-r) for depth 1 and a lower bound size-depth tradeoff Omega ((n-/sup m///sub r/+/sup c///sub r/)r/sup k-1/k/c/sup 1/k/) for constant depth k and r=o(c) are also presented.< ></abstract><pub>IEEE Comput. Soc. Press</pub><doi>10.1109/IPPS.1993.262917</doi><tpages>7</tpages></addata></record> |
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| subjects | Computer networks Computer science Concurrent computing Connectors Information resources Integrated circuit interconnections Mediation Multiprocessor interconnection networks Pattern analysis Sorting |
| title | On synchronous strictly non-blocking concentrators and generalized-concentrators |
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