Non-normal edge-transitive directed Cayley graphs of abelian groups
For a group G, and a subset S of G such that $ 1_{G} $ ∉ S, let X = Cay(G,S) be the corresponding Cayley graph. Then X is said to be normal edge transitive if NAut(X)(G) is transitive on edges. In this paper, we determine all connected directed Cayley graphs of finite abelian groups with valency at...
Ausführliche Beschreibung
Autor*in: |
Alaeiyan, Mehdi [verfasserIn] Mirzajani, Javad [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2013 |
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Übergeordnetes Werk: |
Enthalten in: Mathematical sciences - Tehran : Springer, 2007, 7(2013), 1 vom: 11. Feb. |
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Übergeordnetes Werk: |
volume:7 ; year:2013 ; number:1 ; day:11 ; month:02 |
Links: |
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DOI / URN: |
10.1186/2251-7456-7-7 |
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Katalog-ID: |
SPR032840861 |
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10.1186/2251-7456-7-7 doi (DE-627)SPR032840861 (SPR)2251-7456-7-7-e DE-627 ger DE-627 rakwb eng 510 ASE Alaeiyan, Mehdi verfasserin aut Non-normal edge-transitive directed Cayley graphs of abelian groups 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier For a group G, and a subset S of G such that $ 1_{G} $ ∉ S, let X = Cay(G,S) be the corresponding Cayley graph. Then X is said to be normal edge transitive if NAut(X)(G) is transitive on edges. In this paper, we determine all connected directed Cayley graphs of finite abelian groups with valency at most 3 which are normal edge transitive but not normal. AMS 05C10; 05C25 Cayley graph (dpeaa)DE-He213 Vertex transitive (dpeaa)DE-He213 Edge transitive (dpeaa)DE-He213 Normal edge transitive (dpeaa)DE-He213 Normal graph (dpeaa)DE-He213 Automorphism group (dpeaa)DE-He213 Mirzajani, Javad verfasserin aut Enthalten in Mathematical sciences Tehran : Springer, 2007 7(2013), 1 vom: 11. Feb. (DE-627)665433077 (DE-600)2620704-7 2251-7456 nnns volume:7 year:2013 number:1 day:11 month:02 https://dx.doi.org/10.1186/2251-7456-7-7 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2013 1 11 02 |
spelling |
10.1186/2251-7456-7-7 doi (DE-627)SPR032840861 (SPR)2251-7456-7-7-e DE-627 ger DE-627 rakwb eng 510 ASE Alaeiyan, Mehdi verfasserin aut Non-normal edge-transitive directed Cayley graphs of abelian groups 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier For a group G, and a subset S of G such that $ 1_{G} $ ∉ S, let X = Cay(G,S) be the corresponding Cayley graph. Then X is said to be normal edge transitive if NAut(X)(G) is transitive on edges. In this paper, we determine all connected directed Cayley graphs of finite abelian groups with valency at most 3 which are normal edge transitive but not normal. AMS 05C10; 05C25 Cayley graph (dpeaa)DE-He213 Vertex transitive (dpeaa)DE-He213 Edge transitive (dpeaa)DE-He213 Normal edge transitive (dpeaa)DE-He213 Normal graph (dpeaa)DE-He213 Automorphism group (dpeaa)DE-He213 Mirzajani, Javad verfasserin aut Enthalten in Mathematical sciences Tehran : Springer, 2007 7(2013), 1 vom: 11. Feb. (DE-627)665433077 (DE-600)2620704-7 2251-7456 nnns volume:7 year:2013 number:1 day:11 month:02 https://dx.doi.org/10.1186/2251-7456-7-7 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2013 1 11 02 |
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10.1186/2251-7456-7-7 doi (DE-627)SPR032840861 (SPR)2251-7456-7-7-e DE-627 ger DE-627 rakwb eng 510 ASE Alaeiyan, Mehdi verfasserin aut Non-normal edge-transitive directed Cayley graphs of abelian groups 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier For a group G, and a subset S of G such that $ 1_{G} $ ∉ S, let X = Cay(G,S) be the corresponding Cayley graph. Then X is said to be normal edge transitive if NAut(X)(G) is transitive on edges. In this paper, we determine all connected directed Cayley graphs of finite abelian groups with valency at most 3 which are normal edge transitive but not normal. AMS 05C10; 05C25 Cayley graph (dpeaa)DE-He213 Vertex transitive (dpeaa)DE-He213 Edge transitive (dpeaa)DE-He213 Normal edge transitive (dpeaa)DE-He213 Normal graph (dpeaa)DE-He213 Automorphism group (dpeaa)DE-He213 Mirzajani, Javad verfasserin aut Enthalten in Mathematical sciences Tehran : Springer, 2007 7(2013), 1 vom: 11. Feb. (DE-627)665433077 (DE-600)2620704-7 2251-7456 nnns volume:7 year:2013 number:1 day:11 month:02 https://dx.doi.org/10.1186/2251-7456-7-7 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2013 1 11 02 |
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10.1186/2251-7456-7-7 doi (DE-627)SPR032840861 (SPR)2251-7456-7-7-e DE-627 ger DE-627 rakwb eng 510 ASE Alaeiyan, Mehdi verfasserin aut Non-normal edge-transitive directed Cayley graphs of abelian groups 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier For a group G, and a subset S of G such that $ 1_{G} $ ∉ S, let X = Cay(G,S) be the corresponding Cayley graph. Then X is said to be normal edge transitive if NAut(X)(G) is transitive on edges. In this paper, we determine all connected directed Cayley graphs of finite abelian groups with valency at most 3 which are normal edge transitive but not normal. AMS 05C10; 05C25 Cayley graph (dpeaa)DE-He213 Vertex transitive (dpeaa)DE-He213 Edge transitive (dpeaa)DE-He213 Normal edge transitive (dpeaa)DE-He213 Normal graph (dpeaa)DE-He213 Automorphism group (dpeaa)DE-He213 Mirzajani, Javad verfasserin aut Enthalten in Mathematical sciences Tehran : Springer, 2007 7(2013), 1 vom: 11. Feb. (DE-627)665433077 (DE-600)2620704-7 2251-7456 nnns volume:7 year:2013 number:1 day:11 month:02 https://dx.doi.org/10.1186/2251-7456-7-7 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2013 1 11 02 |
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10.1186/2251-7456-7-7 doi (DE-627)SPR032840861 (SPR)2251-7456-7-7-e DE-627 ger DE-627 rakwb eng 510 ASE Alaeiyan, Mehdi verfasserin aut Non-normal edge-transitive directed Cayley graphs of abelian groups 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier For a group G, and a subset S of G such that $ 1_{G} $ ∉ S, let X = Cay(G,S) be the corresponding Cayley graph. Then X is said to be normal edge transitive if NAut(X)(G) is transitive on edges. In this paper, we determine all connected directed Cayley graphs of finite abelian groups with valency at most 3 which are normal edge transitive but not normal. AMS 05C10; 05C25 Cayley graph (dpeaa)DE-He213 Vertex transitive (dpeaa)DE-He213 Edge transitive (dpeaa)DE-He213 Normal edge transitive (dpeaa)DE-He213 Normal graph (dpeaa)DE-He213 Automorphism group (dpeaa)DE-He213 Mirzajani, Javad verfasserin aut Enthalten in Mathematical sciences Tehran : Springer, 2007 7(2013), 1 vom: 11. Feb. (DE-627)665433077 (DE-600)2620704-7 2251-7456 nnns volume:7 year:2013 number:1 day:11 month:02 https://dx.doi.org/10.1186/2251-7456-7-7 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2013 1 11 02 |
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Cayley graph Vertex transitive Edge transitive Normal edge transitive Normal graph Automorphism group |
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Alaeiyan, Mehdi ddc 510 misc Cayley graph misc Vertex transitive misc Edge transitive misc Normal edge transitive misc Normal graph misc Automorphism group Non-normal edge-transitive directed Cayley graphs of abelian groups |
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510 ASE Non-normal edge-transitive directed Cayley graphs of abelian groups Cayley graph (dpeaa)DE-He213 Vertex transitive (dpeaa)DE-He213 Edge transitive (dpeaa)DE-He213 Normal edge transitive (dpeaa)DE-He213 Normal graph (dpeaa)DE-He213 Automorphism group (dpeaa)DE-He213 |
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non-normal edge-transitive directed cayley graphs of abelian groups |
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Non-normal edge-transitive directed Cayley graphs of abelian groups |
abstract |
For a group G, and a subset S of G such that $ 1_{G} $ ∉ S, let X = Cay(G,S) be the corresponding Cayley graph. Then X is said to be normal edge transitive if NAut(X)(G) is transitive on edges. In this paper, we determine all connected directed Cayley graphs of finite abelian groups with valency at most 3 which are normal edge transitive but not normal. AMS 05C10; 05C25 |
abstractGer |
For a group G, and a subset S of G such that $ 1_{G} $ ∉ S, let X = Cay(G,S) be the corresponding Cayley graph. Then X is said to be normal edge transitive if NAut(X)(G) is transitive on edges. In this paper, we determine all connected directed Cayley graphs of finite abelian groups with valency at most 3 which are normal edge transitive but not normal. AMS 05C10; 05C25 |
abstract_unstemmed |
For a group G, and a subset S of G such that $ 1_{G} $ ∉ S, let X = Cay(G,S) be the corresponding Cayley graph. Then X is said to be normal edge transitive if NAut(X)(G) is transitive on edges. In this paper, we determine all connected directed Cayley graphs of finite abelian groups with valency at most 3 which are normal edge transitive but not normal. AMS 05C10; 05C25 |
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Non-normal edge-transitive directed Cayley graphs of abelian groups |
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