Exact assessment of the super %$P_k%$-connectivity for the crossed cube interconnection network
Abstract A network is connected if there exists a path between any two distinct vertices. The vertex-connectivity of any connected network is the cardinality of its minimum vertex-cut. Then, a network is super connected if every of its minimum vertex-cuts always consists of a certain vertex’s neighb...
Ausführliche Beschreibung
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| Autor*in: |
Kung, Tzu-Liang [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 |
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| Übergeordnetes Werk: |
Enthalten in: The journal of supercomputing - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1987, 78(2022), 14 vom: 27. Apr., Seite 15857-15881 |
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| Übergeordnetes Werk: |
volume:78 ; year:2022 ; number:14 ; day:27 ; month:04 ; pages:15857-15881 |
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| DOI / URN: |
10.1007/s11227-022-04494-4 |
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| Katalog-ID: |
SPR048033324 |
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| 520 | |a Abstract A network is connected if there exists a path between any two distinct vertices. The vertex-connectivity of any connected network is the cardinality of its minimum vertex-cut. Then, a network is super connected if every of its minimum vertex-cuts always consists of a certain vertex’s neighborhood. Kung and Lin (Discret Appl Math 293: 143–156, 2021) recently defined the notion of the super cluster-connectivity as a novel, generalized measure to quantify a network’s connectedness level. This article is dedicated to establishing a deep analysis on the exact formula of super path-connectivity for the crossed cube interconnection network. Accordingly, a sufficient and necessary condition is presented to classify whether or not crossed cubes can be super path-connected. | ||
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10.1007/s11227-022-04494-4 doi (DE-627)SPR048033324 (SPR)s11227-022-04494-4-e DE-627 ger DE-627 rakwb eng Kung, Tzu-Liang verfasserin (orcid)0000-0003-2831-0433 aut Exact assessment of the super %$P_k%$-connectivity for the crossed cube interconnection network 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 Abstract A network is connected if there exists a path between any two distinct vertices. The vertex-connectivity of any connected network is the cardinality of its minimum vertex-cut. Then, a network is super connected if every of its minimum vertex-cuts always consists of a certain vertex’s neighborhood. Kung and Lin (Discret Appl Math 293: 143–156, 2021) recently defined the notion of the super cluster-connectivity as a novel, generalized measure to quantify a network’s connectedness level. This article is dedicated to establishing a deep analysis on the exact formula of super path-connectivity for the crossed cube interconnection network. Accordingly, a sufficient and necessary condition is presented to classify whether or not crossed cubes can be super path-connected. Connectivity (dpeaa)DE-He213 Super connectivity (dpeaa)DE-He213 Cluster-cut (dpeaa)DE-He213 Path-connectivity (dpeaa)DE-He213 Crossed cube (dpeaa)DE-He213 Enthalten in The journal of supercomputing Dordrecht [u.a.] : Springer Science + Business Media B.V, 1987 78(2022), 14 vom: 27. Apr., Seite 15857-15881 (DE-627)271350202 (DE-600)1479917-0 1573-0484 nnns volume:78 year:2022 number:14 day:27 month:04 pages:15857-15881 https://dx.doi.org/10.1007/s11227-022-04494-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 78 2022 14 27 04 15857-15881 |
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10.1007/s11227-022-04494-4 doi (DE-627)SPR048033324 (SPR)s11227-022-04494-4-e DE-627 ger DE-627 rakwb eng Kung, Tzu-Liang verfasserin (orcid)0000-0003-2831-0433 aut Exact assessment of the super %$P_k%$-connectivity for the crossed cube interconnection network 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 Abstract A network is connected if there exists a path between any two distinct vertices. The vertex-connectivity of any connected network is the cardinality of its minimum vertex-cut. Then, a network is super connected if every of its minimum vertex-cuts always consists of a certain vertex’s neighborhood. Kung and Lin (Discret Appl Math 293: 143–156, 2021) recently defined the notion of the super cluster-connectivity as a novel, generalized measure to quantify a network’s connectedness level. This article is dedicated to establishing a deep analysis on the exact formula of super path-connectivity for the crossed cube interconnection network. Accordingly, a sufficient and necessary condition is presented to classify whether or not crossed cubes can be super path-connected. Connectivity (dpeaa)DE-He213 Super connectivity (dpeaa)DE-He213 Cluster-cut (dpeaa)DE-He213 Path-connectivity (dpeaa)DE-He213 Crossed cube (dpeaa)DE-He213 Enthalten in The journal of supercomputing Dordrecht [u.a.] : Springer Science + Business Media B.V, 1987 78(2022), 14 vom: 27. Apr., Seite 15857-15881 (DE-627)271350202 (DE-600)1479917-0 1573-0484 nnns volume:78 year:2022 number:14 day:27 month:04 pages:15857-15881 https://dx.doi.org/10.1007/s11227-022-04494-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 78 2022 14 27 04 15857-15881 |
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10.1007/s11227-022-04494-4 doi (DE-627)SPR048033324 (SPR)s11227-022-04494-4-e DE-627 ger DE-627 rakwb eng Kung, Tzu-Liang verfasserin (orcid)0000-0003-2831-0433 aut Exact assessment of the super %$P_k%$-connectivity for the crossed cube interconnection network 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 Abstract A network is connected if there exists a path between any two distinct vertices. The vertex-connectivity of any connected network is the cardinality of its minimum vertex-cut. Then, a network is super connected if every of its minimum vertex-cuts always consists of a certain vertex’s neighborhood. Kung and Lin (Discret Appl Math 293: 143–156, 2021) recently defined the notion of the super cluster-connectivity as a novel, generalized measure to quantify a network’s connectedness level. This article is dedicated to establishing a deep analysis on the exact formula of super path-connectivity for the crossed cube interconnection network. Accordingly, a sufficient and necessary condition is presented to classify whether or not crossed cubes can be super path-connected. Connectivity (dpeaa)DE-He213 Super connectivity (dpeaa)DE-He213 Cluster-cut (dpeaa)DE-He213 Path-connectivity (dpeaa)DE-He213 Crossed cube (dpeaa)DE-He213 Enthalten in The journal of supercomputing Dordrecht [u.a.] : Springer Science + Business Media B.V, 1987 78(2022), 14 vom: 27. Apr., Seite 15857-15881 (DE-627)271350202 (DE-600)1479917-0 1573-0484 nnns volume:78 year:2022 number:14 day:27 month:04 pages:15857-15881 https://dx.doi.org/10.1007/s11227-022-04494-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 78 2022 14 27 04 15857-15881 |
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10.1007/s11227-022-04494-4 doi (DE-627)SPR048033324 (SPR)s11227-022-04494-4-e DE-627 ger DE-627 rakwb eng Kung, Tzu-Liang verfasserin (orcid)0000-0003-2831-0433 aut Exact assessment of the super %$P_k%$-connectivity for the crossed cube interconnection network 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 Abstract A network is connected if there exists a path between any two distinct vertices. The vertex-connectivity of any connected network is the cardinality of its minimum vertex-cut. Then, a network is super connected if every of its minimum vertex-cuts always consists of a certain vertex’s neighborhood. Kung and Lin (Discret Appl Math 293: 143–156, 2021) recently defined the notion of the super cluster-connectivity as a novel, generalized measure to quantify a network’s connectedness level. This article is dedicated to establishing a deep analysis on the exact formula of super path-connectivity for the crossed cube interconnection network. Accordingly, a sufficient and necessary condition is presented to classify whether or not crossed cubes can be super path-connected. Connectivity (dpeaa)DE-He213 Super connectivity (dpeaa)DE-He213 Cluster-cut (dpeaa)DE-He213 Path-connectivity (dpeaa)DE-He213 Crossed cube (dpeaa)DE-He213 Enthalten in The journal of supercomputing Dordrecht [u.a.] : Springer Science + Business Media B.V, 1987 78(2022), 14 vom: 27. Apr., Seite 15857-15881 (DE-627)271350202 (DE-600)1479917-0 1573-0484 nnns volume:78 year:2022 number:14 day:27 month:04 pages:15857-15881 https://dx.doi.org/10.1007/s11227-022-04494-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 78 2022 14 27 04 15857-15881 |
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Kung, Tzu-Liang |
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Kung, Tzu-Liang misc Connectivity misc Super connectivity misc Cluster-cut misc Path-connectivity misc Crossed cube Exact assessment of the super %$P_k%$-connectivity for the crossed cube interconnection network |
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Exact assessment of the super %$P_k%$-connectivity for the crossed cube interconnection network Connectivity (dpeaa)DE-He213 Super connectivity (dpeaa)DE-He213 Cluster-cut (dpeaa)DE-He213 Path-connectivity (dpeaa)DE-He213 Crossed cube (dpeaa)DE-He213 |
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exact assessment of the super %$p_k%$-connectivity for the crossed cube interconnection network |
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Exact assessment of the super %$P_k%$-connectivity for the crossed cube interconnection network |
| abstract |
Abstract A network is connected if there exists a path between any two distinct vertices. The vertex-connectivity of any connected network is the cardinality of its minimum vertex-cut. Then, a network is super connected if every of its minimum vertex-cuts always consists of a certain vertex’s neighborhood. Kung and Lin (Discret Appl Math 293: 143–156, 2021) recently defined the notion of the super cluster-connectivity as a novel, generalized measure to quantify a network’s connectedness level. This article is dedicated to establishing a deep analysis on the exact formula of super path-connectivity for the crossed cube interconnection network. Accordingly, a sufficient and necessary condition is presented to classify whether or not crossed cubes can be super path-connected. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 |
| abstractGer |
Abstract A network is connected if there exists a path between any two distinct vertices. The vertex-connectivity of any connected network is the cardinality of its minimum vertex-cut. Then, a network is super connected if every of its minimum vertex-cuts always consists of a certain vertex’s neighborhood. Kung and Lin (Discret Appl Math 293: 143–156, 2021) recently defined the notion of the super cluster-connectivity as a novel, generalized measure to quantify a network’s connectedness level. This article is dedicated to establishing a deep analysis on the exact formula of super path-connectivity for the crossed cube interconnection network. Accordingly, a sufficient and necessary condition is presented to classify whether or not crossed cubes can be super path-connected. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 |
| abstract_unstemmed |
Abstract A network is connected if there exists a path between any two distinct vertices. The vertex-connectivity of any connected network is the cardinality of its minimum vertex-cut. Then, a network is super connected if every of its minimum vertex-cuts always consists of a certain vertex’s neighborhood. Kung and Lin (Discret Appl Math 293: 143–156, 2021) recently defined the notion of the super cluster-connectivity as a novel, generalized measure to quantify a network’s connectedness level. This article is dedicated to establishing a deep analysis on the exact formula of super path-connectivity for the crossed cube interconnection network. Accordingly, a sufficient and necessary condition is presented to classify whether or not crossed cubes can be super path-connected. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 |
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14 |
| title_short |
Exact assessment of the super %$P_k%$-connectivity for the crossed cube interconnection network |
| url |
https://dx.doi.org/10.1007/s11227-022-04494-4 |
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| doi_str |
10.1007/s11227-022-04494-4 |
| up_date |
2024-07-03T16:34:08.919Z |
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