Eternal dominating sets on digraphs and orientations of graphs
Eternal domination is a problem that asks the following question: Can we eternally defend a graph ? The principle is to defend against an attacked vertex, that changes every turn, by moving guards along the edges of the graph. In the classical version of the game (Burger et al., 2004), only one guar...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bagan, Guillaume [verfasserIn] Joffard, Alice [verfasserIn] Kheddouci, Hamamache [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Discrete applied mathematics - [S.l.] : Elsevier, 1979, 291, Seite 99-115 |
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| Übergeordnetes Werk: |
volume:291 ; pages:99-115 |
| DOI / URN: |
10.1016/j.dam.2020.10.024 |
|---|
| Katalog-ID: |
ELV005386373 |
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| 245 | 1 | 0 | |a Eternal dominating sets on digraphs and orientations of graphs |
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| 520 | |a Eternal domination is a problem that asks the following question: Can we eternally defend a graph ? The principle is to defend against an attacked vertex, that changes every turn, by moving guards along the edges of the graph. In the classical version of the game (Burger et al., 2004), only one guard can move at a time, but in the m-eternal version (Goddard et al., 2005), any number of guards can move in a single turn. This problem led to the introduction of two parameters: the eternal and m-eternal domination numbers of the graph, that are the minimum numbers of guards necessary to defend against any infinite sequence of attacks. | ||
| 650 | 4 | |a Eternal domination | |
| 650 | 4 | |a m-eternal domination | |
| 650 | 4 | |a Directed graphs | |
| 650 | 4 | |a Graph orientations | |
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| 700 | 1 | |a Kheddouci, Hamamache |e verfasserin |4 aut | |
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| 936 | b | k | |a 31.80 |j Angewandte Mathematik |
| 936 | b | k | |a 31.12 |j Kombinatorik |j Graphentheorie |
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10.1016/j.dam.2020.10.024 doi (DE-627)ELV005386373 (ELSEVIER)S0166-218X(20)30482-0 DE-627 ger DE-627 rda eng 510 DE-600 31.80 bkl 31.12 bkl Bagan, Guillaume verfasserin aut Eternal dominating sets on digraphs and orientations of graphs 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Eternal domination is a problem that asks the following question: Can we eternally defend a graph ? The principle is to defend against an attacked vertex, that changes every turn, by moving guards along the edges of the graph. In the classical version of the game (Burger et al., 2004), only one guard can move at a time, but in the m-eternal version (Goddard et al., 2005), any number of guards can move in a single turn. This problem led to the introduction of two parameters: the eternal and m-eternal domination numbers of the graph, that are the minimum numbers of guards necessary to defend against any infinite sequence of attacks. Eternal domination m-eternal domination Directed graphs Graph orientations Joffard, Alice verfasserin aut Kheddouci, Hamamache verfasserin aut Enthalten in Discrete applied mathematics [S.l.] : Elsevier, 1979 291, Seite 99-115 Online-Ressource (DE-627)266881270 (DE-600)1467965-6 (DE-576)078315018 nnns volume:291 pages:99-115 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik 31.12 Kombinatorik Graphentheorie AR 291 99-115 |
| spelling |
10.1016/j.dam.2020.10.024 doi (DE-627)ELV005386373 (ELSEVIER)S0166-218X(20)30482-0 DE-627 ger DE-627 rda eng 510 DE-600 31.80 bkl 31.12 bkl Bagan, Guillaume verfasserin aut Eternal dominating sets on digraphs and orientations of graphs 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Eternal domination is a problem that asks the following question: Can we eternally defend a graph ? The principle is to defend against an attacked vertex, that changes every turn, by moving guards along the edges of the graph. In the classical version of the game (Burger et al., 2004), only one guard can move at a time, but in the m-eternal version (Goddard et al., 2005), any number of guards can move in a single turn. This problem led to the introduction of two parameters: the eternal and m-eternal domination numbers of the graph, that are the minimum numbers of guards necessary to defend against any infinite sequence of attacks. Eternal domination m-eternal domination Directed graphs Graph orientations Joffard, Alice verfasserin aut Kheddouci, Hamamache verfasserin aut Enthalten in Discrete applied mathematics [S.l.] : Elsevier, 1979 291, Seite 99-115 Online-Ressource (DE-627)266881270 (DE-600)1467965-6 (DE-576)078315018 nnns volume:291 pages:99-115 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik 31.12 Kombinatorik Graphentheorie AR 291 99-115 |
| allfields_unstemmed |
10.1016/j.dam.2020.10.024 doi (DE-627)ELV005386373 (ELSEVIER)S0166-218X(20)30482-0 DE-627 ger DE-627 rda eng 510 DE-600 31.80 bkl 31.12 bkl Bagan, Guillaume verfasserin aut Eternal dominating sets on digraphs and orientations of graphs 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Eternal domination is a problem that asks the following question: Can we eternally defend a graph ? The principle is to defend against an attacked vertex, that changes every turn, by moving guards along the edges of the graph. In the classical version of the game (Burger et al., 2004), only one guard can move at a time, but in the m-eternal version (Goddard et al., 2005), any number of guards can move in a single turn. This problem led to the introduction of two parameters: the eternal and m-eternal domination numbers of the graph, that are the minimum numbers of guards necessary to defend against any infinite sequence of attacks. Eternal domination m-eternal domination Directed graphs Graph orientations Joffard, Alice verfasserin aut Kheddouci, Hamamache verfasserin aut Enthalten in Discrete applied mathematics [S.l.] : Elsevier, 1979 291, Seite 99-115 Online-Ressource (DE-627)266881270 (DE-600)1467965-6 (DE-576)078315018 nnns volume:291 pages:99-115 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik 31.12 Kombinatorik Graphentheorie AR 291 99-115 |
| allfieldsGer |
10.1016/j.dam.2020.10.024 doi (DE-627)ELV005386373 (ELSEVIER)S0166-218X(20)30482-0 DE-627 ger DE-627 rda eng 510 DE-600 31.80 bkl 31.12 bkl Bagan, Guillaume verfasserin aut Eternal dominating sets on digraphs and orientations of graphs 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Eternal domination is a problem that asks the following question: Can we eternally defend a graph ? The principle is to defend against an attacked vertex, that changes every turn, by moving guards along the edges of the graph. In the classical version of the game (Burger et al., 2004), only one guard can move at a time, but in the m-eternal version (Goddard et al., 2005), any number of guards can move in a single turn. This problem led to the introduction of two parameters: the eternal and m-eternal domination numbers of the graph, that are the minimum numbers of guards necessary to defend against any infinite sequence of attacks. Eternal domination m-eternal domination Directed graphs Graph orientations Joffard, Alice verfasserin aut Kheddouci, Hamamache verfasserin aut Enthalten in Discrete applied mathematics [S.l.] : Elsevier, 1979 291, Seite 99-115 Online-Ressource (DE-627)266881270 (DE-600)1467965-6 (DE-576)078315018 nnns volume:291 pages:99-115 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik 31.12 Kombinatorik Graphentheorie AR 291 99-115 |
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10.1016/j.dam.2020.10.024 doi (DE-627)ELV005386373 (ELSEVIER)S0166-218X(20)30482-0 DE-627 ger DE-627 rda eng 510 DE-600 31.80 bkl 31.12 bkl Bagan, Guillaume verfasserin aut Eternal dominating sets on digraphs and orientations of graphs 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Eternal domination is a problem that asks the following question: Can we eternally defend a graph ? The principle is to defend against an attacked vertex, that changes every turn, by moving guards along the edges of the graph. In the classical version of the game (Burger et al., 2004), only one guard can move at a time, but in the m-eternal version (Goddard et al., 2005), any number of guards can move in a single turn. This problem led to the introduction of two parameters: the eternal and m-eternal domination numbers of the graph, that are the minimum numbers of guards necessary to defend against any infinite sequence of attacks. Eternal domination m-eternal domination Directed graphs Graph orientations Joffard, Alice verfasserin aut Kheddouci, Hamamache verfasserin aut Enthalten in Discrete applied mathematics [S.l.] : Elsevier, 1979 291, Seite 99-115 Online-Ressource (DE-627)266881270 (DE-600)1467965-6 (DE-576)078315018 nnns volume:291 pages:99-115 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik 31.12 Kombinatorik Graphentheorie AR 291 99-115 |
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Eternal dominating sets on digraphs and orientations of graphs |
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Eternal dominating sets on digraphs and orientations of graphs |
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Bagan, Guillaume |
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Bagan, Guillaume Joffard, Alice Kheddouci, Hamamache |
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eternal dominating sets on digraphs and orientations of graphs |
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Eternal dominating sets on digraphs and orientations of graphs |
| abstract |
Eternal domination is a problem that asks the following question: Can we eternally defend a graph ? The principle is to defend against an attacked vertex, that changes every turn, by moving guards along the edges of the graph. In the classical version of the game (Burger et al., 2004), only one guard can move at a time, but in the m-eternal version (Goddard et al., 2005), any number of guards can move in a single turn. This problem led to the introduction of two parameters: the eternal and m-eternal domination numbers of the graph, that are the minimum numbers of guards necessary to defend against any infinite sequence of attacks. |
| abstractGer |
Eternal domination is a problem that asks the following question: Can we eternally defend a graph ? The principle is to defend against an attacked vertex, that changes every turn, by moving guards along the edges of the graph. In the classical version of the game (Burger et al., 2004), only one guard can move at a time, but in the m-eternal version (Goddard et al., 2005), any number of guards can move in a single turn. This problem led to the introduction of two parameters: the eternal and m-eternal domination numbers of the graph, that are the minimum numbers of guards necessary to defend against any infinite sequence of attacks. |
| abstract_unstemmed |
Eternal domination is a problem that asks the following question: Can we eternally defend a graph ? The principle is to defend against an attacked vertex, that changes every turn, by moving guards along the edges of the graph. In the classical version of the game (Burger et al., 2004), only one guard can move at a time, but in the m-eternal version (Goddard et al., 2005), any number of guards can move in a single turn. This problem led to the introduction of two parameters: the eternal and m-eternal domination numbers of the graph, that are the minimum numbers of guards necessary to defend against any infinite sequence of attacks. |
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