Reliability analysis of 3-ary
Classical edge-connectivity is a vital metric to characterize fault tolerance and reliability of network-based multiprocessor system. As two generalizations of classical edge-connectivity, super edge-connectivity and average degree edge-connectivity are two important parameters to assess the fault t...
Ausführliche Beschreibung
Autor*in: |
Zhang, Qifan [verfasserIn] Zhou, Shuming [verfasserIn] Zhang, Hong [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2023 |
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Schlagwörter: |
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Übergeordnetes Werk: |
Enthalten in: Discrete applied mathematics - [S.l.] : Elsevier, 1979, 341, Seite 31-39 |
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Übergeordnetes Werk: |
volume:341 ; pages:31-39 |
DOI / URN: |
10.1016/j.dam.2023.07.013 |
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Katalog-ID: |
ELV065298748 |
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245 | 1 | 0 | |a Reliability analysis of 3-ary |
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520 | |a Classical edge-connectivity is a vital metric to characterize fault tolerance and reliability of network-based multiprocessor system. As two generalizations of classical edge-connectivity, super edge-connectivity and average degree edge-connectivity are two important parameters to assess the fault tolerability of a multiprocessor system by imposing some constraints on the degree of survival graph. In this work, we focus on k -super edge connectivity λ k ( Q n 3 ) and a -average degree edge connectivity λ a ¯ ( Q n 3 ) of the 3-ary n -cube. We first show that λ 2 a ¯ ( Q n 3 ) = 2 ( n − a ) 3 a for 0 ≤ a ≤ n − 1 , n ≥ 1 and λ 2 a + 1 ¯ ( Q n 3 ) = 2 ( 2 n − 2 a − 1 ) 3 a for 0 ≤ a ≤ n − 2 , n ≥ 2 . Moreover, we determine that λ 2 a ( Q n 3 ) = λ 2 a ¯ ( Q n 3 ) , and λ 2 a + 1 ( Q n 3 ) = λ 2 a + 1 ¯ ( Q n 3 ) , which indicates that these two kinds of metrics possess the same robustness in a 3-ary n -cube. | ||
650 | 4 | |a Conditional edge-connectivity | |
650 | 4 | |a Super edge connectivity | |
650 | 4 | |a Average degree edge connectivity | |
650 | 4 | |a 3-ary | |
700 | 1 | |a Zhou, Shuming |e verfasserin |0 (orcid)0000-0001-6481-3981 |4 aut | |
700 | 1 | |a Zhang, Hong |e verfasserin |4 aut | |
773 | 0 | 8 | |i Enthalten in |t Discrete applied mathematics |d [S.l.] : Elsevier, 1979 |g 341, Seite 31-39 |h Online-Ressource |w (DE-627)266881270 |w (DE-600)1467965-6 |w (DE-576)078315018 |7 nnns |
773 | 1 | 8 | |g volume:341 |g pages:31-39 |
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912 | |a GBV_ILN_105 | ||
912 | |a GBV_ILN_110 | ||
912 | |a GBV_ILN_150 | ||
912 | |a GBV_ILN_151 | ||
912 | |a GBV_ILN_187 | ||
912 | |a GBV_ILN_213 | ||
912 | |a GBV_ILN_224 | ||
912 | |a GBV_ILN_230 | ||
912 | |a GBV_ILN_370 | ||
912 | |a GBV_ILN_602 | ||
912 | |a GBV_ILN_702 | ||
912 | |a GBV_ILN_2001 | ||
912 | |a GBV_ILN_2003 | ||
912 | |a GBV_ILN_2004 | ||
912 | |a GBV_ILN_2005 | ||
912 | |a GBV_ILN_2007 | ||
912 | |a GBV_ILN_2008 | ||
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912 | |a GBV_ILN_2010 | ||
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912 | |a GBV_ILN_2015 | ||
912 | |a GBV_ILN_2020 | ||
912 | |a GBV_ILN_2021 | ||
912 | |a GBV_ILN_2025 | ||
912 | |a GBV_ILN_2026 | ||
912 | |a GBV_ILN_2027 | ||
912 | |a GBV_ILN_2034 | ||
912 | |a GBV_ILN_2044 | ||
912 | |a GBV_ILN_2048 | ||
912 | |a GBV_ILN_2049 | ||
912 | |a GBV_ILN_2050 | ||
912 | |a GBV_ILN_2055 | ||
912 | |a GBV_ILN_2056 | ||
912 | |a GBV_ILN_2059 | ||
912 | |a GBV_ILN_2061 | ||
912 | |a GBV_ILN_2064 | ||
912 | |a GBV_ILN_2088 | ||
912 | |a GBV_ILN_2106 | ||
912 | |a GBV_ILN_2110 | ||
912 | |a GBV_ILN_2111 | ||
912 | |a GBV_ILN_2112 | ||
912 | |a GBV_ILN_2122 | ||
912 | |a GBV_ILN_2129 | ||
912 | |a GBV_ILN_2143 | ||
912 | |a GBV_ILN_2152 | ||
912 | |a GBV_ILN_2153 | ||
912 | |a GBV_ILN_2190 | ||
912 | |a GBV_ILN_2232 | ||
912 | |a GBV_ILN_2336 | ||
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912 | |a GBV_ILN_2507 | ||
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912 | |a GBV_ILN_4306 | ||
912 | |a GBV_ILN_4307 | ||
912 | |a GBV_ILN_4313 | ||
912 | |a GBV_ILN_4322 | ||
912 | |a GBV_ILN_4323 | ||
912 | |a GBV_ILN_4324 | ||
912 | |a GBV_ILN_4325 | ||
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912 | |a GBV_ILN_4333 | ||
912 | |a GBV_ILN_4334 | ||
912 | |a GBV_ILN_4335 | ||
912 | |a GBV_ILN_4338 | ||
912 | |a GBV_ILN_4367 | ||
912 | |a GBV_ILN_4393 | ||
912 | |a GBV_ILN_4700 | ||
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936 | b | k | |a 31.12 |j Kombinatorik |j Graphentheorie |q VZ |
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10.1016/j.dam.2023.07.013 doi (DE-627)ELV065298748 (ELSEVIER)S0166-218X(23)00281-0 DE-627 ger DE-627 rda eng 510 VZ 31.80 bkl 31.12 bkl Zhang, Qifan verfasserin aut Reliability analysis of 3-ary 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Classical edge-connectivity is a vital metric to characterize fault tolerance and reliability of network-based multiprocessor system. As two generalizations of classical edge-connectivity, super edge-connectivity and average degree edge-connectivity are two important parameters to assess the fault tolerability of a multiprocessor system by imposing some constraints on the degree of survival graph. In this work, we focus on k -super edge connectivity λ k ( Q n 3 ) and a -average degree edge connectivity λ a ¯ ( Q n 3 ) of the 3-ary n -cube. We first show that λ 2 a ¯ ( Q n 3 ) = 2 ( n − a ) 3 a for 0 ≤ a ≤ n − 1 , n ≥ 1 and λ 2 a + 1 ¯ ( Q n 3 ) = 2 ( 2 n − 2 a − 1 ) 3 a for 0 ≤ a ≤ n − 2 , n ≥ 2 . Moreover, we determine that λ 2 a ( Q n 3 ) = λ 2 a ¯ ( Q n 3 ) , and λ 2 a + 1 ( Q n 3 ) = λ 2 a + 1 ¯ ( Q n 3 ) , which indicates that these two kinds of metrics possess the same robustness in a 3-ary n -cube. Conditional edge-connectivity Super edge connectivity Average degree edge connectivity 3-ary Zhou, Shuming verfasserin (orcid)0000-0001-6481-3981 aut Zhang, Hong verfasserin aut Enthalten in Discrete applied mathematics [S.l.] : Elsevier, 1979 341, Seite 31-39 Online-Ressource (DE-627)266881270 (DE-600)1467965-6 (DE-576)078315018 nnns volume:341 pages:31-39 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik VZ 31.12 Kombinatorik Graphentheorie VZ AR 341 31-39 |
spelling |
10.1016/j.dam.2023.07.013 doi (DE-627)ELV065298748 (ELSEVIER)S0166-218X(23)00281-0 DE-627 ger DE-627 rda eng 510 VZ 31.80 bkl 31.12 bkl Zhang, Qifan verfasserin aut Reliability analysis of 3-ary 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Classical edge-connectivity is a vital metric to characterize fault tolerance and reliability of network-based multiprocessor system. As two generalizations of classical edge-connectivity, super edge-connectivity and average degree edge-connectivity are two important parameters to assess the fault tolerability of a multiprocessor system by imposing some constraints on the degree of survival graph. In this work, we focus on k -super edge connectivity λ k ( Q n 3 ) and a -average degree edge connectivity λ a ¯ ( Q n 3 ) of the 3-ary n -cube. We first show that λ 2 a ¯ ( Q n 3 ) = 2 ( n − a ) 3 a for 0 ≤ a ≤ n − 1 , n ≥ 1 and λ 2 a + 1 ¯ ( Q n 3 ) = 2 ( 2 n − 2 a − 1 ) 3 a for 0 ≤ a ≤ n − 2 , n ≥ 2 . Moreover, we determine that λ 2 a ( Q n 3 ) = λ 2 a ¯ ( Q n 3 ) , and λ 2 a + 1 ( Q n 3 ) = λ 2 a + 1 ¯ ( Q n 3 ) , which indicates that these two kinds of metrics possess the same robustness in a 3-ary n -cube. Conditional edge-connectivity Super edge connectivity Average degree edge connectivity 3-ary Zhou, Shuming verfasserin (orcid)0000-0001-6481-3981 aut Zhang, Hong verfasserin aut Enthalten in Discrete applied mathematics [S.l.] : Elsevier, 1979 341, Seite 31-39 Online-Ressource (DE-627)266881270 (DE-600)1467965-6 (DE-576)078315018 nnns volume:341 pages:31-39 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik VZ 31.12 Kombinatorik Graphentheorie VZ AR 341 31-39 |
allfields_unstemmed |
10.1016/j.dam.2023.07.013 doi (DE-627)ELV065298748 (ELSEVIER)S0166-218X(23)00281-0 DE-627 ger DE-627 rda eng 510 VZ 31.80 bkl 31.12 bkl Zhang, Qifan verfasserin aut Reliability analysis of 3-ary 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Classical edge-connectivity is a vital metric to characterize fault tolerance and reliability of network-based multiprocessor system. As two generalizations of classical edge-connectivity, super edge-connectivity and average degree edge-connectivity are two important parameters to assess the fault tolerability of a multiprocessor system by imposing some constraints on the degree of survival graph. In this work, we focus on k -super edge connectivity λ k ( Q n 3 ) and a -average degree edge connectivity λ a ¯ ( Q n 3 ) of the 3-ary n -cube. We first show that λ 2 a ¯ ( Q n 3 ) = 2 ( n − a ) 3 a for 0 ≤ a ≤ n − 1 , n ≥ 1 and λ 2 a + 1 ¯ ( Q n 3 ) = 2 ( 2 n − 2 a − 1 ) 3 a for 0 ≤ a ≤ n − 2 , n ≥ 2 . Moreover, we determine that λ 2 a ( Q n 3 ) = λ 2 a ¯ ( Q n 3 ) , and λ 2 a + 1 ( Q n 3 ) = λ 2 a + 1 ¯ ( Q n 3 ) , which indicates that these two kinds of metrics possess the same robustness in a 3-ary n -cube. Conditional edge-connectivity Super edge connectivity Average degree edge connectivity 3-ary Zhou, Shuming verfasserin (orcid)0000-0001-6481-3981 aut Zhang, Hong verfasserin aut Enthalten in Discrete applied mathematics [S.l.] : Elsevier, 1979 341, Seite 31-39 Online-Ressource (DE-627)266881270 (DE-600)1467965-6 (DE-576)078315018 nnns volume:341 pages:31-39 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik VZ 31.12 Kombinatorik Graphentheorie VZ AR 341 31-39 |
allfieldsGer |
10.1016/j.dam.2023.07.013 doi (DE-627)ELV065298748 (ELSEVIER)S0166-218X(23)00281-0 DE-627 ger DE-627 rda eng 510 VZ 31.80 bkl 31.12 bkl Zhang, Qifan verfasserin aut Reliability analysis of 3-ary 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Classical edge-connectivity is a vital metric to characterize fault tolerance and reliability of network-based multiprocessor system. As two generalizations of classical edge-connectivity, super edge-connectivity and average degree edge-connectivity are two important parameters to assess the fault tolerability of a multiprocessor system by imposing some constraints on the degree of survival graph. In this work, we focus on k -super edge connectivity λ k ( Q n 3 ) and a -average degree edge connectivity λ a ¯ ( Q n 3 ) of the 3-ary n -cube. We first show that λ 2 a ¯ ( Q n 3 ) = 2 ( n − a ) 3 a for 0 ≤ a ≤ n − 1 , n ≥ 1 and λ 2 a + 1 ¯ ( Q n 3 ) = 2 ( 2 n − 2 a − 1 ) 3 a for 0 ≤ a ≤ n − 2 , n ≥ 2 . Moreover, we determine that λ 2 a ( Q n 3 ) = λ 2 a ¯ ( Q n 3 ) , and λ 2 a + 1 ( Q n 3 ) = λ 2 a + 1 ¯ ( Q n 3 ) , which indicates that these two kinds of metrics possess the same robustness in a 3-ary n -cube. Conditional edge-connectivity Super edge connectivity Average degree edge connectivity 3-ary Zhou, Shuming verfasserin (orcid)0000-0001-6481-3981 aut Zhang, Hong verfasserin aut Enthalten in Discrete applied mathematics [S.l.] : Elsevier, 1979 341, Seite 31-39 Online-Ressource (DE-627)266881270 (DE-600)1467965-6 (DE-576)078315018 nnns volume:341 pages:31-39 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik VZ 31.12 Kombinatorik Graphentheorie VZ AR 341 31-39 |
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10.1016/j.dam.2023.07.013 doi (DE-627)ELV065298748 (ELSEVIER)S0166-218X(23)00281-0 DE-627 ger DE-627 rda eng 510 VZ 31.80 bkl 31.12 bkl Zhang, Qifan verfasserin aut Reliability analysis of 3-ary 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Classical edge-connectivity is a vital metric to characterize fault tolerance and reliability of network-based multiprocessor system. As two generalizations of classical edge-connectivity, super edge-connectivity and average degree edge-connectivity are two important parameters to assess the fault tolerability of a multiprocessor system by imposing some constraints on the degree of survival graph. In this work, we focus on k -super edge connectivity λ k ( Q n 3 ) and a -average degree edge connectivity λ a ¯ ( Q n 3 ) of the 3-ary n -cube. We first show that λ 2 a ¯ ( Q n 3 ) = 2 ( n − a ) 3 a for 0 ≤ a ≤ n − 1 , n ≥ 1 and λ 2 a + 1 ¯ ( Q n 3 ) = 2 ( 2 n − 2 a − 1 ) 3 a for 0 ≤ a ≤ n − 2 , n ≥ 2 . Moreover, we determine that λ 2 a ( Q n 3 ) = λ 2 a ¯ ( Q n 3 ) , and λ 2 a + 1 ( Q n 3 ) = λ 2 a + 1 ¯ ( Q n 3 ) , which indicates that these two kinds of metrics possess the same robustness in a 3-ary n -cube. Conditional edge-connectivity Super edge connectivity Average degree edge connectivity 3-ary Zhou, Shuming verfasserin (orcid)0000-0001-6481-3981 aut Zhang, Hong verfasserin aut Enthalten in Discrete applied mathematics [S.l.] : Elsevier, 1979 341, Seite 31-39 Online-Ressource (DE-627)266881270 (DE-600)1467965-6 (DE-576)078315018 nnns volume:341 pages:31-39 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik VZ 31.12 Kombinatorik Graphentheorie VZ AR 341 31-39 |
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Reliability analysis of 3-ary |
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reliability analysis of 3-ary |
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Reliability analysis of 3-ary |
abstract |
Classical edge-connectivity is a vital metric to characterize fault tolerance and reliability of network-based multiprocessor system. As two generalizations of classical edge-connectivity, super edge-connectivity and average degree edge-connectivity are two important parameters to assess the fault tolerability of a multiprocessor system by imposing some constraints on the degree of survival graph. In this work, we focus on k -super edge connectivity λ k ( Q n 3 ) and a -average degree edge connectivity λ a ¯ ( Q n 3 ) of the 3-ary n -cube. We first show that λ 2 a ¯ ( Q n 3 ) = 2 ( n − a ) 3 a for 0 ≤ a ≤ n − 1 , n ≥ 1 and λ 2 a + 1 ¯ ( Q n 3 ) = 2 ( 2 n − 2 a − 1 ) 3 a for 0 ≤ a ≤ n − 2 , n ≥ 2 . Moreover, we determine that λ 2 a ( Q n 3 ) = λ 2 a ¯ ( Q n 3 ) , and λ 2 a + 1 ( Q n 3 ) = λ 2 a + 1 ¯ ( Q n 3 ) , which indicates that these two kinds of metrics possess the same robustness in a 3-ary n -cube. |
abstractGer |
Classical edge-connectivity is a vital metric to characterize fault tolerance and reliability of network-based multiprocessor system. As two generalizations of classical edge-connectivity, super edge-connectivity and average degree edge-connectivity are two important parameters to assess the fault tolerability of a multiprocessor system by imposing some constraints on the degree of survival graph. In this work, we focus on k -super edge connectivity λ k ( Q n 3 ) and a -average degree edge connectivity λ a ¯ ( Q n 3 ) of the 3-ary n -cube. We first show that λ 2 a ¯ ( Q n 3 ) = 2 ( n − a ) 3 a for 0 ≤ a ≤ n − 1 , n ≥ 1 and λ 2 a + 1 ¯ ( Q n 3 ) = 2 ( 2 n − 2 a − 1 ) 3 a for 0 ≤ a ≤ n − 2 , n ≥ 2 . Moreover, we determine that λ 2 a ( Q n 3 ) = λ 2 a ¯ ( Q n 3 ) , and λ 2 a + 1 ( Q n 3 ) = λ 2 a + 1 ¯ ( Q n 3 ) , which indicates that these two kinds of metrics possess the same robustness in a 3-ary n -cube. |
abstract_unstemmed |
Classical edge-connectivity is a vital metric to characterize fault tolerance and reliability of network-based multiprocessor system. As two generalizations of classical edge-connectivity, super edge-connectivity and average degree edge-connectivity are two important parameters to assess the fault tolerability of a multiprocessor system by imposing some constraints on the degree of survival graph. In this work, we focus on k -super edge connectivity λ k ( Q n 3 ) and a -average degree edge connectivity λ a ¯ ( Q n 3 ) of the 3-ary n -cube. We first show that λ 2 a ¯ ( Q n 3 ) = 2 ( n − a ) 3 a for 0 ≤ a ≤ n − 1 , n ≥ 1 and λ 2 a + 1 ¯ ( Q n 3 ) = 2 ( 2 n − 2 a − 1 ) 3 a for 0 ≤ a ≤ n − 2 , n ≥ 2 . Moreover, we determine that λ 2 a ( Q n 3 ) = λ 2 a ¯ ( Q n 3 ) , and λ 2 a + 1 ( Q n 3 ) = λ 2 a + 1 ¯ ( Q n 3 ) , which indicates that these two kinds of metrics possess the same robustness in a 3-ary n -cube. |
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