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 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. Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Zhang, Qifan [verfasserIn] Zhou, Shuming [verfasserIn] Zhang, Hong [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Conditional edge-connectivity Super edge connectivity Average degree edge connectivity 3-ary

Übergeordnetes Werk:	Enthalten in: Discrete applied mathematics - [S.l.] : Elsevier, 1979, 341, Seite 31-39
Übergeordnetes Werk:	volume:341 ; pages:31-39

DOI / URN:	10.1016/j.dam.2023.07.013

Katalog-ID:	ELV065298748

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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_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
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
912			\|a GBV_ILN_2011
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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
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912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_4012
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
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
912			\|a GBV_ILN_4326
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
936	b	k	\|a 31.80 \|j Angewandte Mathematik \|q VZ
936	b	k	\|a 31.12 \|j Kombinatorik \|j Graphentheorie \|q VZ
951			\|a AR
952			\|d 341 \|h 31-39

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author_variant	q z qz s z sz h z hz
matchkey_str	zhangqifanzhoushumingzhanghong:2023----:eibltaayi
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bklnumber	31.80 31.12
publishDate	2023
allfields	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
allfieldsSound	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
language	English
source	Enthalten in Discrete applied mathematics 341, Seite 31-39 volume:341 pages:31-39
sourceStr	Enthalten in Discrete applied mathematics 341, Seite 31-39 volume:341 pages:31-39
format_phy_str_mv	Article
bklname	Angewandte Mathematik Kombinatorik Graphentheorie
institution	findex.gbv.de
topic_facet	Conditional edge-connectivity Super edge connectivity Average degree edge connectivity 3-ary
dewey-raw	510
isfreeaccess_bool	false
container_title	Discrete applied mathematics
authorswithroles_txt_mv	Zhang, Qifan @@aut@@ Zhou, Shuming @@aut@@ Zhang, Hong @@aut@@
publishDateDaySort_date	2023-01-01T00:00:00Z
hierarchy_top_id	266881270
dewey-sort	3510
id	ELV065298748
language_de	englisch
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author	Zhang, Qifan
spellingShingle	Zhang, Qifan ddc 510 bkl 31.80 bkl 31.12 misc Conditional edge-connectivity misc Super edge connectivity misc Average degree edge connectivity misc 3-ary Reliability analysis of 3-ary
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topic_title	510 VZ 31.80 bkl 31.12 bkl Reliability analysis of 3-ary Conditional edge-connectivity Super edge connectivity Average degree edge connectivity 3-ary
topic	ddc 510 bkl 31.80 bkl 31.12 misc Conditional edge-connectivity misc Super edge connectivity misc Average degree edge connectivity misc 3-ary
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title	Reliability analysis of 3-ary
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title_full	Reliability analysis of 3-ary
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title_sort	reliability analysis of 3-ary
title_auth	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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title_short	Reliability analysis of 3-ary
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up_date	2024-07-06T22:32:35.689Z
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score	7.400324

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Reliability analysis of 3-ary

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