Excluding a full grid minor

Abstract In this paper we characterise the graphs containing a %$\mathbb {Z} \times \mathbb {Z}%$ grid minor in a similar way as it has been done by Halin for graphs with an %$\mathbb {N} \times \mathbb {Z}%$ grid minor. Using our characterisation, we describe the structure of graphs without %$\math...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Heuer, Karl [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2017

Schlagwörter:	Infinite graphs Ends Tree-decomposition Infinite grid Grid minor

Anmerkung:	© The Author(s) 2016

Übergeordnetes Werk:	Enthalten in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg - Berlin [u.a.] : Springer, 1922, 87(2017), 2 vom: 04. Jan., Seite 265-274
Übergeordnetes Werk:	volume:87 ; year:2017 ; number:2 ; day:04 ; month:01 ; pages:265-274

Links:	Volltext

DOI / URN:	10.1007/s12188-016-0165-y

Katalog-ID:	SPR025144286

Internformat


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520			\|a Abstract In this paper we characterise the graphs containing a %$\mathbb {Z} \times \mathbb {Z}%$ grid minor in a similar way as it has been done by Halin for graphs with an %$\mathbb {N} \times \mathbb {Z}%$ grid minor. Using our characterisation, we describe the structure of graphs without %$\mathbb {Z} \times \mathbb {Z}%$ grid minors in terms of tree-decompositions.
650		4	\|a Infinite graphs \|7 (dpeaa)DE-He213
650		4	\|a Ends \|7 (dpeaa)DE-He213
650		4	\|a Tree-decomposition \|7 (dpeaa)DE-He213
650		4	\|a Infinite grid \|7 (dpeaa)DE-He213
650		4	\|a Grid minor \|7 (dpeaa)DE-He213
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912			\|a GBV_ILN_40
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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_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_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_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
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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
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912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
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912			\|a GBV_ILN_2470
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912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4012
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_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
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952			\|d 87 \|j 2017 \|e 2 \|b 04 \|c 01 \|h 265-274

Indexfelder

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matchkey_str	article:18658784:2017----::xldnaul
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publishDate	2017
allfields	10.1007/s12188-016-0165-y doi (DE-627)SPR025144286 (SPR)s12188-016-0165-y-e DE-627 ger DE-627 rakwb eng Heuer, Karl verfasserin aut Excluding a full grid minor 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2016 Abstract In this paper we characterise the graphs containing a %$\mathbb {Z} \times \mathbb {Z}%$ grid minor in a similar way as it has been done by Halin for graphs with an %$\mathbb {N} \times \mathbb {Z}%$ grid minor. Using our characterisation, we describe the structure of graphs without %$\mathbb {Z} \times \mathbb {Z}%$ grid minors in terms of tree-decompositions. Infinite graphs (dpeaa)DE-He213 Ends (dpeaa)DE-He213 Tree-decomposition (dpeaa)DE-He213 Infinite grid (dpeaa)DE-He213 Grid minor (dpeaa)DE-He213 Enthalten in Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Berlin [u.a.] : Springer, 1922 87(2017), 2 vom: 04. Jan., Seite 265-274 (DE-627)327579781 (DE-600)2044664-0 1865-8784 nnns volume:87 year:2017 number:2 day:04 month:01 pages:265-274 https://dx.doi.org/10.1007/s12188-016-0165-y 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_4012 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 87 2017 2 04 01 265-274
spelling	10.1007/s12188-016-0165-y doi (DE-627)SPR025144286 (SPR)s12188-016-0165-y-e DE-627 ger DE-627 rakwb eng Heuer, Karl verfasserin aut Excluding a full grid minor 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2016 Abstract In this paper we characterise the graphs containing a %$\mathbb {Z} \times \mathbb {Z}%$ grid minor in a similar way as it has been done by Halin for graphs with an %$\mathbb {N} \times \mathbb {Z}%$ grid minor. Using our characterisation, we describe the structure of graphs without %$\mathbb {Z} \times \mathbb {Z}%$ grid minors in terms of tree-decompositions. Infinite graphs (dpeaa)DE-He213 Ends (dpeaa)DE-He213 Tree-decomposition (dpeaa)DE-He213 Infinite grid (dpeaa)DE-He213 Grid minor (dpeaa)DE-He213 Enthalten in Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Berlin [u.a.] : Springer, 1922 87(2017), 2 vom: 04. Jan., Seite 265-274 (DE-627)327579781 (DE-600)2044664-0 1865-8784 nnns volume:87 year:2017 number:2 day:04 month:01 pages:265-274 https://dx.doi.org/10.1007/s12188-016-0165-y 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_4012 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 87 2017 2 04 01 265-274
allfields_unstemmed	10.1007/s12188-016-0165-y doi (DE-627)SPR025144286 (SPR)s12188-016-0165-y-e DE-627 ger DE-627 rakwb eng Heuer, Karl verfasserin aut Excluding a full grid minor 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2016 Abstract In this paper we characterise the graphs containing a %$\mathbb {Z} \times \mathbb {Z}%$ grid minor in a similar way as it has been done by Halin for graphs with an %$\mathbb {N} \times \mathbb {Z}%$ grid minor. Using our characterisation, we describe the structure of graphs without %$\mathbb {Z} \times \mathbb {Z}%$ grid minors in terms of tree-decompositions. Infinite graphs (dpeaa)DE-He213 Ends (dpeaa)DE-He213 Tree-decomposition (dpeaa)DE-He213 Infinite grid (dpeaa)DE-He213 Grid minor (dpeaa)DE-He213 Enthalten in Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Berlin [u.a.] : Springer, 1922 87(2017), 2 vom: 04. Jan., Seite 265-274 (DE-627)327579781 (DE-600)2044664-0 1865-8784 nnns volume:87 year:2017 number:2 day:04 month:01 pages:265-274 https://dx.doi.org/10.1007/s12188-016-0165-y 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_4012 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 87 2017 2 04 01 265-274
allfieldsGer	10.1007/s12188-016-0165-y doi (DE-627)SPR025144286 (SPR)s12188-016-0165-y-e DE-627 ger DE-627 rakwb eng Heuer, Karl verfasserin aut Excluding a full grid minor 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2016 Abstract In this paper we characterise the graphs containing a %$\mathbb {Z} \times \mathbb {Z}%$ grid minor in a similar way as it has been done by Halin for graphs with an %$\mathbb {N} \times \mathbb {Z}%$ grid minor. Using our characterisation, we describe the structure of graphs without %$\mathbb {Z} \times \mathbb {Z}%$ grid minors in terms of tree-decompositions. Infinite graphs (dpeaa)DE-He213 Ends (dpeaa)DE-He213 Tree-decomposition (dpeaa)DE-He213 Infinite grid (dpeaa)DE-He213 Grid minor (dpeaa)DE-He213 Enthalten in Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Berlin [u.a.] : Springer, 1922 87(2017), 2 vom: 04. Jan., Seite 265-274 (DE-627)327579781 (DE-600)2044664-0 1865-8784 nnns volume:87 year:2017 number:2 day:04 month:01 pages:265-274 https://dx.doi.org/10.1007/s12188-016-0165-y 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_4012 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 87 2017 2 04 01 265-274
allfieldsSound	10.1007/s12188-016-0165-y doi (DE-627)SPR025144286 (SPR)s12188-016-0165-y-e DE-627 ger DE-627 rakwb eng Heuer, Karl verfasserin aut Excluding a full grid minor 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2016 Abstract In this paper we characterise the graphs containing a %$\mathbb {Z} \times \mathbb {Z}%$ grid minor in a similar way as it has been done by Halin for graphs with an %$\mathbb {N} \times \mathbb {Z}%$ grid minor. Using our characterisation, we describe the structure of graphs without %$\mathbb {Z} \times \mathbb {Z}%$ grid minors in terms of tree-decompositions. Infinite graphs (dpeaa)DE-He213 Ends (dpeaa)DE-He213 Tree-decomposition (dpeaa)DE-He213 Infinite grid (dpeaa)DE-He213 Grid minor (dpeaa)DE-He213 Enthalten in Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Berlin [u.a.] : Springer, 1922 87(2017), 2 vom: 04. Jan., Seite 265-274 (DE-627)327579781 (DE-600)2044664-0 1865-8784 nnns volume:87 year:2017 number:2 day:04 month:01 pages:265-274 https://dx.doi.org/10.1007/s12188-016-0165-y 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_4012 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 87 2017 2 04 01 265-274
language	English
source	Enthalten in Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 87(2017), 2 vom: 04. Jan., Seite 265-274 volume:87 year:2017 number:2 day:04 month:01 pages:265-274
sourceStr	Enthalten in Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 87(2017), 2 vom: 04. Jan., Seite 265-274 volume:87 year:2017 number:2 day:04 month:01 pages:265-274
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Infinite graphs Ends Tree-decomposition Infinite grid Grid minor
isfreeaccess_bool	false
container_title	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
authorswithroles_txt_mv	Heuer, Karl @@aut@@
publishDateDaySort_date	2017-01-04T00:00:00Z
hierarchy_top_id	327579781
id	SPR025144286
language_de	englisch
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author	Heuer, Karl
spellingShingle	Heuer, Karl misc Infinite graphs misc Ends misc Tree-decomposition misc Infinite grid misc Grid minor Excluding a full grid minor
authorStr	Heuer, Karl
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topic_title	Excluding a full grid minor Infinite graphs (dpeaa)DE-He213 Ends (dpeaa)DE-He213 Tree-decomposition (dpeaa)DE-He213 Infinite grid (dpeaa)DE-He213 Grid minor (dpeaa)DE-He213
topic	misc Infinite graphs misc Ends misc Tree-decomposition misc Infinite grid misc Grid minor
topic_unstemmed	misc Infinite graphs misc Ends misc Tree-decomposition misc Infinite grid misc Grid minor
topic_browse	misc Infinite graphs misc Ends misc Tree-decomposition misc Infinite grid misc Grid minor
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title	Excluding a full grid minor
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title_full	Excluding a full grid minor
author_sort	Heuer, Karl
journal	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
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author_browse	Heuer, Karl
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format_se	Elektronische Aufsätze
author-letter	Heuer, Karl
doi_str_mv	10.1007/s12188-016-0165-y
title_sort	excluding a full grid minor
title_auth	Excluding a full grid minor
abstract	Abstract In this paper we characterise the graphs containing a %$\mathbb {Z} \times \mathbb {Z}%$ grid minor in a similar way as it has been done by Halin for graphs with an %$\mathbb {N} \times \mathbb {Z}%$ grid minor. Using our characterisation, we describe the structure of graphs without %$\mathbb {Z} \times \mathbb {Z}%$ grid minors in terms of tree-decompositions. © The Author(s) 2016
abstractGer	Abstract In this paper we characterise the graphs containing a %$\mathbb {Z} \times \mathbb {Z}%$ grid minor in a similar way as it has been done by Halin for graphs with an %$\mathbb {N} \times \mathbb {Z}%$ grid minor. Using our characterisation, we describe the structure of graphs without %$\mathbb {Z} \times \mathbb {Z}%$ grid minors in terms of tree-decompositions. © The Author(s) 2016
abstract_unstemmed	Abstract In this paper we characterise the graphs containing a %$\mathbb {Z} \times \mathbb {Z}%$ grid minor in a similar way as it has been done by Halin for graphs with an %$\mathbb {N} \times \mathbb {Z}%$ grid minor. Using our characterisation, we describe the structure of graphs without %$\mathbb {Z} \times \mathbb {Z}%$ grid minors in terms of tree-decompositions. © The Author(s) 2016
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title_short	Excluding a full grid minor
url	https://dx.doi.org/10.1007/s12188-016-0165-y
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up_date	2024-07-03T14:08:48.886Z
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