The fault tolerance of ( n , k ) -bubble-sort networks
The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H...
Ausführliche Beschreibung
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Zhao, Shu-Li [verfasserIn] |
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Englisch |
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2020transfer abstract |
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Enthalten in: Electroless deposition of a Ag matrix on semiconducting one-dimensional nanostructures - Miguel, F.L. ELSEVIER, 2013transfer abstract, [S.l.] |
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Übergeordnetes Werk: |
volume:285 ; year:2020 ; day:15 ; month:10 ; pages:204-211 ; extent:8 |
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DOI / URN: |
10.1016/j.dam.2020.05.016 |
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245 | 1 | 4 | |a The fault tolerance of ( n , k ) -bubble-sort networks |
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520 | |a The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H H C n et al. In this paper, we focus on κ h ( B n , k ) for the ( n , k ) -bubble-sort network B n , k , which is a generalization of the bubble-sort graph B n as it is a special case of ( n , k ) -bubble-sort networks for k = n − 1 . We show that κ h ( B n , k ) = n + h ( k − 2 ) − 1 for 2 ≤ k ≤ ⌈ n + 3 2 ⌉ and 0 ≤ h ≤ ⌊ n − 3 2 ⌋ , which implies that at least n + h ( k − 2 ) − 1 vertices of B n , k have to be deleted to get a disconnected graph without vertices of degree less than h . | ||
520 | |a The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H H C n et al. In this paper, we focus on κ h ( B n , k ) for the ( n , k ) -bubble-sort network B n , k , which is a generalization of the bubble-sort graph B n as it is a special case of ( n , k ) -bubble-sort networks for k = n − 1 . We show that κ h ( B n , k ) = n + h ( k − 2 ) − 1 for 2 ≤ k ≤ ⌈ n + 3 2 ⌉ and 0 ≤ h ≤ ⌊ n − 3 2 ⌋ , which implies that at least n + h ( k − 2 ) − 1 vertices of B n , k have to be deleted to get a disconnected graph without vertices of degree less than h . | ||
650 | 7 | |a Interconnection network |2 Elsevier | |
650 | 7 | |a h -good neighbor connectivity |2 Elsevier | |
650 | 7 | |a ( n , k ) -bubble-sort network |2 Elsevier | |
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10.1016/j.dam.2020.05.016 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001120.pica (DE-627)ELV051243792 (ELSEVIER)S0166-218X(20)30264-X DE-627 ger DE-627 rakwb eng 070 VZ 660 VZ 333.7 610 VZ 43.12 bkl 43.13 bkl 44.13 bkl Zhao, Shu-Li verfasserin aut The fault tolerance of ( n , k ) -bubble-sort networks 2020transfer abstract 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H H C n et al. In this paper, we focus on κ h ( B n , k ) for the ( n , k ) -bubble-sort network B n , k , which is a generalization of the bubble-sort graph B n as it is a special case of ( n , k ) -bubble-sort networks for k = n − 1 . We show that κ h ( B n , k ) = n + h ( k − 2 ) − 1 for 2 ≤ k ≤ ⌈ n + 3 2 ⌉ and 0 ≤ h ≤ ⌊ n − 3 2 ⌋ , which implies that at least n + h ( k − 2 ) − 1 vertices of B n , k have to be deleted to get a disconnected graph without vertices of degree less than h . The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H H C n et al. In this paper, we focus on κ h ( B n , k ) for the ( n , k ) -bubble-sort network B n , k , which is a generalization of the bubble-sort graph B n as it is a special case of ( n , k ) -bubble-sort networks for k = n − 1 . We show that κ h ( B n , k ) = n + h ( k − 2 ) − 1 for 2 ≤ k ≤ ⌈ n + 3 2 ⌉ and 0 ≤ h ≤ ⌊ n − 3 2 ⌋ , which implies that at least n + h ( k − 2 ) − 1 vertices of B n , k have to be deleted to get a disconnected graph without vertices of degree less than h . Interconnection network Elsevier h -good neighbor connectivity Elsevier ( n , k ) -bubble-sort network Elsevier Fault-tolerance Elsevier Hao, Rong-Xia oth Enthalten in Elsevier Miguel, F.L. ELSEVIER Electroless deposition of a Ag matrix on semiconducting one-dimensional nanostructures 2013transfer abstract [S.l.] (DE-627)ELV011300345 volume:285 year:2020 day:15 month:10 pages:204-211 extent:8 https://doi.org/10.1016/j.dam.2020.05.016 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO GBV_ILN_20 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 43.12 Umweltchemie VZ 43.13 Umwelttoxikologie VZ 44.13 Medizinische Ökologie VZ AR 285 2020 15 1015 204-211 8 |
spelling |
10.1016/j.dam.2020.05.016 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001120.pica (DE-627)ELV051243792 (ELSEVIER)S0166-218X(20)30264-X DE-627 ger DE-627 rakwb eng 070 VZ 660 VZ 333.7 610 VZ 43.12 bkl 43.13 bkl 44.13 bkl Zhao, Shu-Li verfasserin aut The fault tolerance of ( n , k ) -bubble-sort networks 2020transfer abstract 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H H C n et al. In this paper, we focus on κ h ( B n , k ) for the ( n , k ) -bubble-sort network B n , k , which is a generalization of the bubble-sort graph B n as it is a special case of ( n , k ) -bubble-sort networks for k = n − 1 . We show that κ h ( B n , k ) = n + h ( k − 2 ) − 1 for 2 ≤ k ≤ ⌈ n + 3 2 ⌉ and 0 ≤ h ≤ ⌊ n − 3 2 ⌋ , which implies that at least n + h ( k − 2 ) − 1 vertices of B n , k have to be deleted to get a disconnected graph without vertices of degree less than h . The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H H C n et al. In this paper, we focus on κ h ( B n , k ) for the ( n , k ) -bubble-sort network B n , k , which is a generalization of the bubble-sort graph B n as it is a special case of ( n , k ) -bubble-sort networks for k = n − 1 . We show that κ h ( B n , k ) = n + h ( k − 2 ) − 1 for 2 ≤ k ≤ ⌈ n + 3 2 ⌉ and 0 ≤ h ≤ ⌊ n − 3 2 ⌋ , which implies that at least n + h ( k − 2 ) − 1 vertices of B n , k have to be deleted to get a disconnected graph without vertices of degree less than h . Interconnection network Elsevier h -good neighbor connectivity Elsevier ( n , k ) -bubble-sort network Elsevier Fault-tolerance Elsevier Hao, Rong-Xia oth Enthalten in Elsevier Miguel, F.L. ELSEVIER Electroless deposition of a Ag matrix on semiconducting one-dimensional nanostructures 2013transfer abstract [S.l.] (DE-627)ELV011300345 volume:285 year:2020 day:15 month:10 pages:204-211 extent:8 https://doi.org/10.1016/j.dam.2020.05.016 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO GBV_ILN_20 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 43.12 Umweltchemie VZ 43.13 Umwelttoxikologie VZ 44.13 Medizinische Ökologie VZ AR 285 2020 15 1015 204-211 8 |
allfields_unstemmed |
10.1016/j.dam.2020.05.016 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001120.pica (DE-627)ELV051243792 (ELSEVIER)S0166-218X(20)30264-X DE-627 ger DE-627 rakwb eng 070 VZ 660 VZ 333.7 610 VZ 43.12 bkl 43.13 bkl 44.13 bkl Zhao, Shu-Li verfasserin aut The fault tolerance of ( n , k ) -bubble-sort networks 2020transfer abstract 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H H C n et al. In this paper, we focus on κ h ( B n , k ) for the ( n , k ) -bubble-sort network B n , k , which is a generalization of the bubble-sort graph B n as it is a special case of ( n , k ) -bubble-sort networks for k = n − 1 . We show that κ h ( B n , k ) = n + h ( k − 2 ) − 1 for 2 ≤ k ≤ ⌈ n + 3 2 ⌉ and 0 ≤ h ≤ ⌊ n − 3 2 ⌋ , which implies that at least n + h ( k − 2 ) − 1 vertices of B n , k have to be deleted to get a disconnected graph without vertices of degree less than h . The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H H C n et al. In this paper, we focus on κ h ( B n , k ) for the ( n , k ) -bubble-sort network B n , k , which is a generalization of the bubble-sort graph B n as it is a special case of ( n , k ) -bubble-sort networks for k = n − 1 . We show that κ h ( B n , k ) = n + h ( k − 2 ) − 1 for 2 ≤ k ≤ ⌈ n + 3 2 ⌉ and 0 ≤ h ≤ ⌊ n − 3 2 ⌋ , which implies that at least n + h ( k − 2 ) − 1 vertices of B n , k have to be deleted to get a disconnected graph without vertices of degree less than h . Interconnection network Elsevier h -good neighbor connectivity Elsevier ( n , k ) -bubble-sort network Elsevier Fault-tolerance Elsevier Hao, Rong-Xia oth Enthalten in Elsevier Miguel, F.L. ELSEVIER Electroless deposition of a Ag matrix on semiconducting one-dimensional nanostructures 2013transfer abstract [S.l.] (DE-627)ELV011300345 volume:285 year:2020 day:15 month:10 pages:204-211 extent:8 https://doi.org/10.1016/j.dam.2020.05.016 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO GBV_ILN_20 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 43.12 Umweltchemie VZ 43.13 Umwelttoxikologie VZ 44.13 Medizinische Ökologie VZ AR 285 2020 15 1015 204-211 8 |
allfieldsGer |
10.1016/j.dam.2020.05.016 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001120.pica (DE-627)ELV051243792 (ELSEVIER)S0166-218X(20)30264-X DE-627 ger DE-627 rakwb eng 070 VZ 660 VZ 333.7 610 VZ 43.12 bkl 43.13 bkl 44.13 bkl Zhao, Shu-Li verfasserin aut The fault tolerance of ( n , k ) -bubble-sort networks 2020transfer abstract 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H H C n et al. In this paper, we focus on κ h ( B n , k ) for the ( n , k ) -bubble-sort network B n , k , which is a generalization of the bubble-sort graph B n as it is a special case of ( n , k ) -bubble-sort networks for k = n − 1 . We show that κ h ( B n , k ) = n + h ( k − 2 ) − 1 for 2 ≤ k ≤ ⌈ n + 3 2 ⌉ and 0 ≤ h ≤ ⌊ n − 3 2 ⌋ , which implies that at least n + h ( k − 2 ) − 1 vertices of B n , k have to be deleted to get a disconnected graph without vertices of degree less than h . The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H H C n et al. In this paper, we focus on κ h ( B n , k ) for the ( n , k ) -bubble-sort network B n , k , which is a generalization of the bubble-sort graph B n as it is a special case of ( n , k ) -bubble-sort networks for k = n − 1 . We show that κ h ( B n , k ) = n + h ( k − 2 ) − 1 for 2 ≤ k ≤ ⌈ n + 3 2 ⌉ and 0 ≤ h ≤ ⌊ n − 3 2 ⌋ , which implies that at least n + h ( k − 2 ) − 1 vertices of B n , k have to be deleted to get a disconnected graph without vertices of degree less than h . Interconnection network Elsevier h -good neighbor connectivity Elsevier ( n , k ) -bubble-sort network Elsevier Fault-tolerance Elsevier Hao, Rong-Xia oth Enthalten in Elsevier Miguel, F.L. ELSEVIER Electroless deposition of a Ag matrix on semiconducting one-dimensional nanostructures 2013transfer abstract [S.l.] (DE-627)ELV011300345 volume:285 year:2020 day:15 month:10 pages:204-211 extent:8 https://doi.org/10.1016/j.dam.2020.05.016 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO GBV_ILN_20 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 43.12 Umweltchemie VZ 43.13 Umwelttoxikologie VZ 44.13 Medizinische Ökologie VZ AR 285 2020 15 1015 204-211 8 |
allfieldsSound |
10.1016/j.dam.2020.05.016 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001120.pica (DE-627)ELV051243792 (ELSEVIER)S0166-218X(20)30264-X DE-627 ger DE-627 rakwb eng 070 VZ 660 VZ 333.7 610 VZ 43.12 bkl 43.13 bkl 44.13 bkl Zhao, Shu-Li verfasserin aut The fault tolerance of ( n , k ) -bubble-sort networks 2020transfer abstract 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H H C n et al. In this paper, we focus on κ h ( B n , k ) for the ( n , k ) -bubble-sort network B n , k , which is a generalization of the bubble-sort graph B n as it is a special case of ( n , k ) -bubble-sort networks for k = n − 1 . We show that κ h ( B n , k ) = n + h ( k − 2 ) − 1 for 2 ≤ k ≤ ⌈ n + 3 2 ⌉ and 0 ≤ h ≤ ⌊ n − 3 2 ⌋ , which implies that at least n + h ( k − 2 ) − 1 vertices of B n , k have to be deleted to get a disconnected graph without vertices of degree less than h . The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H H C n et al. In this paper, we focus on κ h ( B n , k ) for the ( n , k ) -bubble-sort network B n , k , which is a generalization of the bubble-sort graph B n as it is a special case of ( n , k ) -bubble-sort networks for k = n − 1 . We show that κ h ( B n , k ) = n + h ( k − 2 ) − 1 for 2 ≤ k ≤ ⌈ n + 3 2 ⌉ and 0 ≤ h ≤ ⌊ n − 3 2 ⌋ , which implies that at least n + h ( k − 2 ) − 1 vertices of B n , k have to be deleted to get a disconnected graph without vertices of degree less than h . Interconnection network Elsevier h -good neighbor connectivity Elsevier ( n , k ) -bubble-sort network Elsevier Fault-tolerance Elsevier Hao, Rong-Xia oth Enthalten in Elsevier Miguel, F.L. ELSEVIER Electroless deposition of a Ag matrix on semiconducting one-dimensional nanostructures 2013transfer abstract [S.l.] (DE-627)ELV011300345 volume:285 year:2020 day:15 month:10 pages:204-211 extent:8 https://doi.org/10.1016/j.dam.2020.05.016 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO GBV_ILN_20 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 43.12 Umweltchemie VZ 43.13 Umwelttoxikologie VZ 44.13 Medizinische Ökologie VZ AR 285 2020 15 1015 204-211 8 |
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Enthalten in Electroless deposition of a Ag matrix on semiconducting one-dimensional nanostructures [S.l.] volume:285 year:2020 day:15 month:10 pages:204-211 extent:8 |
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Electroless deposition of a Ag matrix on semiconducting one-dimensional nanostructures |
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The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H H C n et al. In this paper, we focus on κ h ( B n , k ) for the ( n , k ) -bubble-sort network B n , k , which is a generalization of the bubble-sort graph B n as it is a special case of ( n , k ) -bubble-sort networks for k = n − 1 . We show that κ h ( B n , k ) = n + h ( k − 2 ) − 1 for 2 ≤ k ≤ ⌈ n + 3 2 ⌉ and 0 ≤ h ≤ ⌊ n − 3 2 ⌋ , which implies that at least n + h ( k − 2 ) − 1 vertices of B n , k have to be deleted to get a disconnected graph without vertices of degree less than h . |
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The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H H C n et al. In this paper, we focus on κ h ( B n , k ) for the ( n , k ) -bubble-sort network B n , k , which is a generalization of the bubble-sort graph B n as it is a special case of ( n , k ) -bubble-sort networks for k = n − 1 . We show that κ h ( B n , k ) = n + h ( k − 2 ) − 1 for 2 ≤ k ≤ ⌈ n + 3 2 ⌉ and 0 ≤ h ≤ ⌊ n − 3 2 ⌋ , which implies that at least n + h ( k − 2 ) − 1 vertices of B n , k have to be deleted to get a disconnected graph without vertices of degree less than h . |
abstract_unstemmed |
The h -good neighbor connectivity κ h ( G ) is an important parameter to evaluate the fault tolerance of an interconnection network G . So far, almost all known results of κ h ( G ) are about small h ′ s except the hypercubes, the star graphs, the k -ary n -cubes and hierarchical hypercube network H H C n et al. In this paper, we focus on κ h ( B n , k ) for the ( n , k ) -bubble-sort network B n , k , which is a generalization of the bubble-sort graph B n as it is a special case of ( n , k ) -bubble-sort networks for k = n − 1 . We show that κ h ( B n , k ) = n + h ( k − 2 ) − 1 for 2 ≤ k ≤ ⌈ n + 3 2 ⌉ and 0 ≤ h ≤ ⌊ n − 3 2 ⌋ , which implies that at least n + h ( k − 2 ) − 1 vertices of B n , k have to be deleted to get a disconnected graph without vertices of degree less than h . |
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The fault tolerance of ( n , k ) -bubble-sort networks |
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