Neighborhood and degree conditions for super-edge-connected bipartite digraphs
Abstract A graph or digraph D is called super-λ, if every minimum edge cut consists of edges incident to or from a vertex of minimum degree, where λ is the edge-connectivity of D. Clearly, if D is super-λ, then λ = δ, where δ is the minimum degree of D. In this paper neighborhood, degree sequence, a...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Hellwig, Angelika [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2004 |
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| Schlagwörter: |
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| Anmerkung: |
© Birkhäuser Verlag, Basel 2004 |
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| Übergeordnetes Werk: |
Enthalten in: Results in mathematics - Berlin : Springer, 1978, 45(2004), 1-2 vom: März, Seite 45-58 |
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| Übergeordnetes Werk: |
volume:45 ; year:2004 ; number:1-2 ; month:03 ; pages:45-58 |
| Links: |
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| DOI / URN: |
10.1007/BF03322996 |
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| Katalog-ID: |
SPR000264326 |
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| 245 | 1 | 0 | |a Neighborhood and degree conditions for super-edge-connected bipartite digraphs |
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| 520 | |a Abstract A graph or digraph D is called super-λ, if every minimum edge cut consists of edges incident to or from a vertex of minimum degree, where λ is the edge-connectivity of D. Clearly, if D is super-λ, then λ = δ, where δ is the minimum degree of D. In this paper neighborhood, degree sequence, and degree conditions for bipartite graphs and digraphs to be super-λ are presented. In particular, the neighborhood condition generalizes the following result by Fiol [7]: If D is a bipartite digraph of order n and minimum degree δ ≥ max{3, ⌈(n + 3)/4⌉}, then D is super-λ. | ||
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| 650 | 4 | |a super-edge-connectivity |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a bipartite digraphs |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a neighborhood |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Volkmann, Lutz |4 aut | |
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10.1007/BF03322996 doi (DE-627)SPR000264326 (SPR)BF03322996-e DE-627 ger DE-627 rakwb eng Hellwig, Angelika verfasserin aut Neighborhood and degree conditions for super-edge-connected bipartite digraphs 2004 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Birkhäuser Verlag, Basel 2004 Abstract A graph or digraph D is called super-λ, if every minimum edge cut consists of edges incident to or from a vertex of minimum degree, where λ is the edge-connectivity of D. Clearly, if D is super-λ, then λ = δ, where δ is the minimum degree of D. In this paper neighborhood, degree sequence, and degree conditions for bipartite graphs and digraphs to be super-λ are presented. In particular, the neighborhood condition generalizes the following result by Fiol [7]: If D is a bipartite digraph of order n and minimum degree δ ≥ max{3, ⌈(n + 3)/4⌉}, then D is super-λ. edge-connectivity (dpeaa)DE-He213 super-edge-connectivity (dpeaa)DE-He213 bipartite digraphs (dpeaa)DE-He213 neighborhood (dpeaa)DE-He213 Volkmann, Lutz aut Enthalten in Results in mathematics Berlin : Springer, 1978 45(2004), 1-2 vom: März, Seite 45-58 (DE-627)327046066 (DE-600)2043519-8 1420-9012 nnns volume:45 year:2004 number:1-2 month:03 pages:45-58 https://dx.doi.org/10.1007/BF03322996 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_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_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_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_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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 45 2004 1-2 03 45-58 |
| spelling |
10.1007/BF03322996 doi (DE-627)SPR000264326 (SPR)BF03322996-e DE-627 ger DE-627 rakwb eng Hellwig, Angelika verfasserin aut Neighborhood and degree conditions for super-edge-connected bipartite digraphs 2004 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Birkhäuser Verlag, Basel 2004 Abstract A graph or digraph D is called super-λ, if every minimum edge cut consists of edges incident to or from a vertex of minimum degree, where λ is the edge-connectivity of D. Clearly, if D is super-λ, then λ = δ, where δ is the minimum degree of D. In this paper neighborhood, degree sequence, and degree conditions for bipartite graphs and digraphs to be super-λ are presented. In particular, the neighborhood condition generalizes the following result by Fiol [7]: If D is a bipartite digraph of order n and minimum degree δ ≥ max{3, ⌈(n + 3)/4⌉}, then D is super-λ. edge-connectivity (dpeaa)DE-He213 super-edge-connectivity (dpeaa)DE-He213 bipartite digraphs (dpeaa)DE-He213 neighborhood (dpeaa)DE-He213 Volkmann, Lutz aut Enthalten in Results in mathematics Berlin : Springer, 1978 45(2004), 1-2 vom: März, Seite 45-58 (DE-627)327046066 (DE-600)2043519-8 1420-9012 nnns volume:45 year:2004 number:1-2 month:03 pages:45-58 https://dx.doi.org/10.1007/BF03322996 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_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_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_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_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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 45 2004 1-2 03 45-58 |
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10.1007/BF03322996 doi (DE-627)SPR000264326 (SPR)BF03322996-e DE-627 ger DE-627 rakwb eng Hellwig, Angelika verfasserin aut Neighborhood and degree conditions for super-edge-connected bipartite digraphs 2004 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Birkhäuser Verlag, Basel 2004 Abstract A graph or digraph D is called super-λ, if every minimum edge cut consists of edges incident to or from a vertex of minimum degree, where λ is the edge-connectivity of D. Clearly, if D is super-λ, then λ = δ, where δ is the minimum degree of D. In this paper neighborhood, degree sequence, and degree conditions for bipartite graphs and digraphs to be super-λ are presented. In particular, the neighborhood condition generalizes the following result by Fiol [7]: If D is a bipartite digraph of order n and minimum degree δ ≥ max{3, ⌈(n + 3)/4⌉}, then D is super-λ. edge-connectivity (dpeaa)DE-He213 super-edge-connectivity (dpeaa)DE-He213 bipartite digraphs (dpeaa)DE-He213 neighborhood (dpeaa)DE-He213 Volkmann, Lutz aut Enthalten in Results in mathematics Berlin : Springer, 1978 45(2004), 1-2 vom: März, Seite 45-58 (DE-627)327046066 (DE-600)2043519-8 1420-9012 nnns volume:45 year:2004 number:1-2 month:03 pages:45-58 https://dx.doi.org/10.1007/BF03322996 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_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_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_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_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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 45 2004 1-2 03 45-58 |
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10.1007/BF03322996 doi (DE-627)SPR000264326 (SPR)BF03322996-e DE-627 ger DE-627 rakwb eng Hellwig, Angelika verfasserin aut Neighborhood and degree conditions for super-edge-connected bipartite digraphs 2004 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Birkhäuser Verlag, Basel 2004 Abstract A graph or digraph D is called super-λ, if every minimum edge cut consists of edges incident to or from a vertex of minimum degree, where λ is the edge-connectivity of D. Clearly, if D is super-λ, then λ = δ, where δ is the minimum degree of D. In this paper neighborhood, degree sequence, and degree conditions for bipartite graphs and digraphs to be super-λ are presented. In particular, the neighborhood condition generalizes the following result by Fiol [7]: If D is a bipartite digraph of order n and minimum degree δ ≥ max{3, ⌈(n + 3)/4⌉}, then D is super-λ. edge-connectivity (dpeaa)DE-He213 super-edge-connectivity (dpeaa)DE-He213 bipartite digraphs (dpeaa)DE-He213 neighborhood (dpeaa)DE-He213 Volkmann, Lutz aut Enthalten in Results in mathematics Berlin : Springer, 1978 45(2004), 1-2 vom: März, Seite 45-58 (DE-627)327046066 (DE-600)2043519-8 1420-9012 nnns volume:45 year:2004 number:1-2 month:03 pages:45-58 https://dx.doi.org/10.1007/BF03322996 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_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_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_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_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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 45 2004 1-2 03 45-58 |
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10.1007/BF03322996 doi (DE-627)SPR000264326 (SPR)BF03322996-e DE-627 ger DE-627 rakwb eng Hellwig, Angelika verfasserin aut Neighborhood and degree conditions for super-edge-connected bipartite digraphs 2004 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Birkhäuser Verlag, Basel 2004 Abstract A graph or digraph D is called super-λ, if every minimum edge cut consists of edges incident to or from a vertex of minimum degree, where λ is the edge-connectivity of D. Clearly, if D is super-λ, then λ = δ, where δ is the minimum degree of D. In this paper neighborhood, degree sequence, and degree conditions for bipartite graphs and digraphs to be super-λ are presented. In particular, the neighborhood condition generalizes the following result by Fiol [7]: If D is a bipartite digraph of order n and minimum degree δ ≥ max{3, ⌈(n + 3)/4⌉}, then D is super-λ. edge-connectivity (dpeaa)DE-He213 super-edge-connectivity (dpeaa)DE-He213 bipartite digraphs (dpeaa)DE-He213 neighborhood (dpeaa)DE-He213 Volkmann, Lutz aut Enthalten in Results in mathematics Berlin : Springer, 1978 45(2004), 1-2 vom: März, Seite 45-58 (DE-627)327046066 (DE-600)2043519-8 1420-9012 nnns volume:45 year:2004 number:1-2 month:03 pages:45-58 https://dx.doi.org/10.1007/BF03322996 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_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_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_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_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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 45 2004 1-2 03 45-58 |
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Neighborhood and degree conditions for super-edge-connected bipartite digraphs edge-connectivity (dpeaa)DE-He213 super-edge-connectivity (dpeaa)DE-He213 bipartite digraphs (dpeaa)DE-He213 neighborhood (dpeaa)DE-He213 |
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neighborhood and degree conditions for super-edge-connected bipartite digraphs |
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Neighborhood and degree conditions for super-edge-connected bipartite digraphs |
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Abstract A graph or digraph D is called super-λ, if every minimum edge cut consists of edges incident to or from a vertex of minimum degree, where λ is the edge-connectivity of D. Clearly, if D is super-λ, then λ = δ, where δ is the minimum degree of D. In this paper neighborhood, degree sequence, and degree conditions for bipartite graphs and digraphs to be super-λ are presented. In particular, the neighborhood condition generalizes the following result by Fiol [7]: If D is a bipartite digraph of order n and minimum degree δ ≥ max{3, ⌈(n + 3)/4⌉}, then D is super-λ. © Birkhäuser Verlag, Basel 2004 |
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Abstract A graph or digraph D is called super-λ, if every minimum edge cut consists of edges incident to or from a vertex of minimum degree, where λ is the edge-connectivity of D. Clearly, if D is super-λ, then λ = δ, where δ is the minimum degree of D. In this paper neighborhood, degree sequence, and degree conditions for bipartite graphs and digraphs to be super-λ are presented. In particular, the neighborhood condition generalizes the following result by Fiol [7]: If D is a bipartite digraph of order n and minimum degree δ ≥ max{3, ⌈(n + 3)/4⌉}, then D is super-λ. © Birkhäuser Verlag, Basel 2004 |
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Abstract A graph or digraph D is called super-λ, if every minimum edge cut consists of edges incident to or from a vertex of minimum degree, where λ is the edge-connectivity of D. Clearly, if D is super-λ, then λ = δ, where δ is the minimum degree of D. In this paper neighborhood, degree sequence, and degree conditions for bipartite graphs and digraphs to be super-λ are presented. In particular, the neighborhood condition generalizes the following result by Fiol [7]: If D is a bipartite digraph of order n and minimum degree δ ≥ max{3, ⌈(n + 3)/4⌉}, then D is super-λ. © Birkhäuser Verlag, Basel 2004 |
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