On the structure of consistent cycles in cubic symmetric graphs
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Kutnar, Klavdija
[1
,2
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Marusic, Dragan
[1
,2
,3
,4
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Miklavic, Stefko
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Univ Primorska, UP FAMNIT, Glagoljaska 8, Koper 6000, Slovenia
Univ Primorska, UP IAM, Koper, Slovenia
IMFM, Ljubljana, SloveniaUniv Primorska, UP FAMNIT, Glagoljaska 8, Koper 6000, Slovenia
Miklavic, Stefko
[1
,2
,3
]
Sparl, Primoz
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Univ Primorska, UP IAM, Koper, Slovenia
IMFM, Ljubljana, Slovenia
Univ Ljubljana, UL PEF, Ljubljana, SloveniaUniv Primorska, UP FAMNIT, Glagoljaska 8, Koper 6000, Slovenia
Sparl, Primoz
[2
,3
,4
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[1] Univ Primorska, UP FAMNIT, Glagoljaska 8, Koper 6000, Slovenia
A cycle in a graph is consistent if the automorphism group of the graph admits a one-step rotation of this cycle. A thorough description of consistent cycles of arc-transitive subgroups in the full automorphism groups of finite cubic symmetric graphs is given.
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Univ Ljubljana, Fac Comp & Informat Sci, SI-1000 Ljubljana, Slovenia
Inst Math Phys & Mech, SI-1000 Ljubljana, SloveniaUniv Ljubljana, Fac Comp & Informat Sci, SI-1000 Ljubljana, Slovenia
Boben, Marko
Miklavic, Stefko
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Univ Primorska, Inst Nat Sci & Technol, SI-6000 Koper, SloveniaUniv Ljubljana, Fac Comp & Informat Sci, SI-1000 Ljubljana, Slovenia
Miklavic, Stefko
Potocnik, Primoz
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Inst Math Phys & Mech, SI-1000 Ljubljana, Slovenia
Univ Ljubljana, Fac Math & Phys, SI-1000 Ljubljana, SloveniaUniv Ljubljana, Fac Comp & Informat Sci, SI-1000 Ljubljana, Slovenia
Potocnik, Primoz
ELECTRONIC JOURNAL OF COMBINATORICS,
2009,
16
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