One-to-one disjoint path covers in hypercubes with faulty edges

Abstract A one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ of a graph G is a collection of k internally vertex disjoint paths joining source with sink that cover all vertices of G. In this paper, we investigate the problem of one-to-one disjoint path cover in hypercubes with faulty edge...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Wang, Fan [verfasserIn] Zhao, Weisheng [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Hypercubes Vertex disjoint paths Path covers One-to-one Fault edges

Übergeordnetes Werk:	Enthalten in: The journal of supercomputing - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1987, 75(2019), 8 vom: 20. März, Seite 5583-5595
Übergeordnetes Werk:	volume:75 ; year:2019 ; number:8 ; day:20 ; month:03 ; pages:5583-5595

Links:	Volltext

DOI / URN:	10.1007/s11227-019-02817-6

Katalog-ID:	SPR017979633

Internformat


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245	1	0	\|a One-to-one disjoint path covers in hypercubes with faulty edges
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520			\|a Abstract A one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ of a graph G is a collection of k internally vertex disjoint paths joining source with sink that cover all vertices of G. In this paper, we investigate the problem of one-to-one disjoint path cover in hypercubes with faulty edges and obtain the following results: Let u, v ∈ V(Qn) be such that %$p(u)\ne p(v)%$ and %$1\le k\le n%$. Then there exists a one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ joining vertices u and v in %$Q_n%$. Moreover, when %$1\le k\le n-2%$, the result still holds even if removing %$n-2-k%$ edges from %$Q_n%$.
650		4	\|a Hypercubes \|7 (dpeaa)DE-He213
650		4	\|a Vertex disjoint paths \|7 (dpeaa)DE-He213
650		4	\|a Path covers \|7 (dpeaa)DE-He213
650		4	\|a One-to-one \|7 (dpeaa)DE-He213
650		4	\|a Fault edges \|7 (dpeaa)DE-He213
700	1		\|a Zhao, Weisheng \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t The journal of supercomputing \|d Dordrecht [u.a.] : Springer Science + Business Media B.V, 1987 \|g 75(2019), 8 vom: 20. März, Seite 5583-5595 \|w (DE-627)271350202 \|w (DE-600)1479917-0 \|x 1573-0484 \|7 nnns
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912			\|a GBV_ILN_23
912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_32
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
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_101
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_206
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
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_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
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_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
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_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2070
912			\|a GBV_ILN_2086
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2116
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2119
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2144
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2188
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
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_4336
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4393
912			\|a GBV_ILN_4700
936	b	k	\|a 54.20 \|q ASE
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Indexfelder

author_variant	f w fw w z wz
matchkey_str	article:15730484:2019----::ntoeijitahoesnyecbs
hierarchy_sort_str	2019
bklnumber	54.20
publishDate	2019
allfields	10.1007/s11227-019-02817-6 doi (DE-627)SPR017979633 (SPR)s11227-019-02817-6-e DE-627 ger DE-627 rakwb eng 004 620 ASE 54.20 bkl Wang, Fan verfasserin aut One-to-one disjoint path covers in hypercubes with faulty edges 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract A one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ of a graph G is a collection of k internally vertex disjoint paths joining source with sink that cover all vertices of G. In this paper, we investigate the problem of one-to-one disjoint path cover in hypercubes with faulty edges and obtain the following results: Let u, v ∈ V(Qn) be such that %$p(u)\ne p(v)%$ and %$1\le k\le n%$. Then there exists a one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ joining vertices u and v in %$Q_n%$. Moreover, when %$1\le k\le n-2%$, the result still holds even if removing %$n-2-k%$ edges from %$Q_n%$. Hypercubes (dpeaa)DE-He213 Vertex disjoint paths (dpeaa)DE-He213 Path covers (dpeaa)DE-He213 One-to-one (dpeaa)DE-He213 Fault edges (dpeaa)DE-He213 Zhao, Weisheng verfasserin aut Enthalten in The journal of supercomputing Dordrecht [u.a.] : Springer Science + Business Media B.V, 1987 75(2019), 8 vom: 20. März, Seite 5583-5595 (DE-627)271350202 (DE-600)1479917-0 1573-0484 nnns volume:75 year:2019 number:8 day:20 month:03 pages:5583-5595 https://dx.doi.org/10.1007/s11227-019-02817-6 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_2070 GBV_ILN_2086 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_2116 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.20 ASE AR 75 2019 8 20 03 5583-5595
spelling	10.1007/s11227-019-02817-6 doi (DE-627)SPR017979633 (SPR)s11227-019-02817-6-e DE-627 ger DE-627 rakwb eng 004 620 ASE 54.20 bkl Wang, Fan verfasserin aut One-to-one disjoint path covers in hypercubes with faulty edges 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract A one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ of a graph G is a collection of k internally vertex disjoint paths joining source with sink that cover all vertices of G. In this paper, we investigate the problem of one-to-one disjoint path cover in hypercubes with faulty edges and obtain the following results: Let u, v ∈ V(Qn) be such that %$p(u)\ne p(v)%$ and %$1\le k\le n%$. Then there exists a one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ joining vertices u and v in %$Q_n%$. Moreover, when %$1\le k\le n-2%$, the result still holds even if removing %$n-2-k%$ edges from %$Q_n%$. Hypercubes (dpeaa)DE-He213 Vertex disjoint paths (dpeaa)DE-He213 Path covers (dpeaa)DE-He213 One-to-one (dpeaa)DE-He213 Fault edges (dpeaa)DE-He213 Zhao, Weisheng verfasserin aut Enthalten in The journal of supercomputing Dordrecht [u.a.] : Springer Science + Business Media B.V, 1987 75(2019), 8 vom: 20. März, Seite 5583-5595 (DE-627)271350202 (DE-600)1479917-0 1573-0484 nnns volume:75 year:2019 number:8 day:20 month:03 pages:5583-5595 https://dx.doi.org/10.1007/s11227-019-02817-6 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_2070 GBV_ILN_2086 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_2116 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.20 ASE AR 75 2019 8 20 03 5583-5595
allfields_unstemmed	10.1007/s11227-019-02817-6 doi (DE-627)SPR017979633 (SPR)s11227-019-02817-6-e DE-627 ger DE-627 rakwb eng 004 620 ASE 54.20 bkl Wang, Fan verfasserin aut One-to-one disjoint path covers in hypercubes with faulty edges 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract A one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ of a graph G is a collection of k internally vertex disjoint paths joining source with sink that cover all vertices of G. In this paper, we investigate the problem of one-to-one disjoint path cover in hypercubes with faulty edges and obtain the following results: Let u, v ∈ V(Qn) be such that %$p(u)\ne p(v)%$ and %$1\le k\le n%$. Then there exists a one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ joining vertices u and v in %$Q_n%$. Moreover, when %$1\le k\le n-2%$, the result still holds even if removing %$n-2-k%$ edges from %$Q_n%$. Hypercubes (dpeaa)DE-He213 Vertex disjoint paths (dpeaa)DE-He213 Path covers (dpeaa)DE-He213 One-to-one (dpeaa)DE-He213 Fault edges (dpeaa)DE-He213 Zhao, Weisheng verfasserin aut Enthalten in The journal of supercomputing Dordrecht [u.a.] : Springer Science + Business Media B.V, 1987 75(2019), 8 vom: 20. März, Seite 5583-5595 (DE-627)271350202 (DE-600)1479917-0 1573-0484 nnns volume:75 year:2019 number:8 day:20 month:03 pages:5583-5595 https://dx.doi.org/10.1007/s11227-019-02817-6 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_2070 GBV_ILN_2086 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_2116 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.20 ASE AR 75 2019 8 20 03 5583-5595
allfieldsGer	10.1007/s11227-019-02817-6 doi (DE-627)SPR017979633 (SPR)s11227-019-02817-6-e DE-627 ger DE-627 rakwb eng 004 620 ASE 54.20 bkl Wang, Fan verfasserin aut One-to-one disjoint path covers in hypercubes with faulty edges 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract A one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ of a graph G is a collection of k internally vertex disjoint paths joining source with sink that cover all vertices of G. In this paper, we investigate the problem of one-to-one disjoint path cover in hypercubes with faulty edges and obtain the following results: Let u, v ∈ V(Qn) be such that %$p(u)\ne p(v)%$ and %$1\le k\le n%$. Then there exists a one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ joining vertices u and v in %$Q_n%$. Moreover, when %$1\le k\le n-2%$, the result still holds even if removing %$n-2-k%$ edges from %$Q_n%$. Hypercubes (dpeaa)DE-He213 Vertex disjoint paths (dpeaa)DE-He213 Path covers (dpeaa)DE-He213 One-to-one (dpeaa)DE-He213 Fault edges (dpeaa)DE-He213 Zhao, Weisheng verfasserin aut Enthalten in The journal of supercomputing Dordrecht [u.a.] : Springer Science + Business Media B.V, 1987 75(2019), 8 vom: 20. März, Seite 5583-5595 (DE-627)271350202 (DE-600)1479917-0 1573-0484 nnns volume:75 year:2019 number:8 day:20 month:03 pages:5583-5595 https://dx.doi.org/10.1007/s11227-019-02817-6 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_2070 GBV_ILN_2086 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_2116 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.20 ASE AR 75 2019 8 20 03 5583-5595
allfieldsSound	10.1007/s11227-019-02817-6 doi (DE-627)SPR017979633 (SPR)s11227-019-02817-6-e DE-627 ger DE-627 rakwb eng 004 620 ASE 54.20 bkl Wang, Fan verfasserin aut One-to-one disjoint path covers in hypercubes with faulty edges 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract A one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ of a graph G is a collection of k internally vertex disjoint paths joining source with sink that cover all vertices of G. In this paper, we investigate the problem of one-to-one disjoint path cover in hypercubes with faulty edges and obtain the following results: Let u, v ∈ V(Qn) be such that %$p(u)\ne p(v)%$ and %$1\le k\le n%$. Then there exists a one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ joining vertices u and v in %$Q_n%$. Moreover, when %$1\le k\le n-2%$, the result still holds even if removing %$n-2-k%$ edges from %$Q_n%$. Hypercubes (dpeaa)DE-He213 Vertex disjoint paths (dpeaa)DE-He213 Path covers (dpeaa)DE-He213 One-to-one (dpeaa)DE-He213 Fault edges (dpeaa)DE-He213 Zhao, Weisheng verfasserin aut Enthalten in The journal of supercomputing Dordrecht [u.a.] : Springer Science + Business Media B.V, 1987 75(2019), 8 vom: 20. März, Seite 5583-5595 (DE-627)271350202 (DE-600)1479917-0 1573-0484 nnns volume:75 year:2019 number:8 day:20 month:03 pages:5583-5595 https://dx.doi.org/10.1007/s11227-019-02817-6 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_2070 GBV_ILN_2086 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_2116 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.20 ASE AR 75 2019 8 20 03 5583-5595
language	English
source	Enthalten in The journal of supercomputing 75(2019), 8 vom: 20. März, Seite 5583-5595 volume:75 year:2019 number:8 day:20 month:03 pages:5583-5595
sourceStr	Enthalten in The journal of supercomputing 75(2019), 8 vom: 20. März, Seite 5583-5595 volume:75 year:2019 number:8 day:20 month:03 pages:5583-5595
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Hypercubes Vertex disjoint paths Path covers One-to-one Fault edges
dewey-raw	004
isfreeaccess_bool	false
container_title	The journal of supercomputing
authorswithroles_txt_mv	Wang, Fan @@aut@@ Zhao, Weisheng @@aut@@
publishDateDaySort_date	2019-03-20T00:00:00Z
hierarchy_top_id	271350202
dewey-sort	14
id	SPR017979633
language_de	englisch
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In this paper, we investigate the problem of one-to-one disjoint path cover in hypercubes with faulty edges and obtain the following results: Let u, v ∈ V(Qn) be such that %$p(u)\ne p(v)%$ and %$1\le k\le n%$. Then there exists a one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ joining vertices u and v in %$Q_n%$. 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author	Wang, Fan
spellingShingle	Wang, Fan ddc 004 bkl 54.20 misc Hypercubes misc Vertex disjoint paths misc Path covers misc One-to-one misc Fault edges One-to-one disjoint path covers in hypercubes with faulty edges
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topic_title	004 620 ASE 54.20 bkl One-to-one disjoint path covers in hypercubes with faulty edges Hypercubes (dpeaa)DE-He213 Vertex disjoint paths (dpeaa)DE-He213 Path covers (dpeaa)DE-He213 One-to-one (dpeaa)DE-He213 Fault edges (dpeaa)DE-He213
topic	ddc 004 bkl 54.20 misc Hypercubes misc Vertex disjoint paths misc Path covers misc One-to-one misc Fault edges
topic_unstemmed	ddc 004 bkl 54.20 misc Hypercubes misc Vertex disjoint paths misc Path covers misc One-to-one misc Fault edges
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title	One-to-one disjoint path covers in hypercubes with faulty edges
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title_full	One-to-one disjoint path covers in hypercubes with faulty edges
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title_sort	one-to-one disjoint path covers in hypercubes with faulty edges
title_auth	One-to-one disjoint path covers in hypercubes with faulty edges
abstract	Abstract A one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ of a graph G is a collection of k internally vertex disjoint paths joining source with sink that cover all vertices of G. In this paper, we investigate the problem of one-to-one disjoint path cover in hypercubes with faulty edges and obtain the following results: Let u, v ∈ V(Qn) be such that %$p(u)\ne p(v)%$ and %$1\le k\le n%$. Then there exists a one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ joining vertices u and v in %$Q_n%$. Moreover, when %$1\le k\le n-2%$, the result still holds even if removing %$n-2-k%$ edges from %$Q_n%$.
abstractGer	Abstract A one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ of a graph G is a collection of k internally vertex disjoint paths joining source with sink that cover all vertices of G. In this paper, we investigate the problem of one-to-one disjoint path cover in hypercubes with faulty edges and obtain the following results: Let u, v ∈ V(Qn) be such that %$p(u)\ne p(v)%$ and %$1\le k\le n%$. Then there exists a one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ joining vertices u and v in %$Q_n%$. Moreover, when %$1\le k\le n-2%$, the result still holds even if removing %$n-2-k%$ edges from %$Q_n%$.
abstract_unstemmed	Abstract A one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ of a graph G is a collection of k internally vertex disjoint paths joining source with sink that cover all vertices of G. In this paper, we investigate the problem of one-to-one disjoint path cover in hypercubes with faulty edges and obtain the following results: Let u, v ∈ V(Qn) be such that %$p(u)\ne p(v)%$ and %$1\le k\le n%$. Then there exists a one-to-one k-disjoint path cover %$\{P_1,P_2,\ldots ,P_k\}%$ joining vertices u and v in %$Q_n%$. Moreover, when %$1\le k\le n-2%$, the result still holds even if removing %$n-2-k%$ edges from %$Q_n%$.
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container_issue	8
title_short	One-to-one disjoint path covers in hypercubes with faulty edges
url	https://dx.doi.org/10.1007/s11227-019-02817-6
remote_bool	true
author2	Zhao, Weisheng
author2Str	Zhao, Weisheng
ppnlink	271350202
mediatype_str_mv	c
isOA_txt	false
hochschulschrift_bool	false
doi_str	10.1007/s11227-019-02817-6
up_date	2024-07-03T16:29:13.317Z
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