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Arc-transitive graphs of valency 8 have a semiregular ...
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由 G Verret 著作2013被引用 19 次 — Abstract:One version of the polycirculant conjecture states that every vertex-transitive graph has a semiregular automorphism.
Arc-transitive graphs of valency 8 have a semiregular ...
The University of Western Australia
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The University of Western Australia
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由 G Verret 著作2015被引用 19 次 — All graphs considered in this paper are finite and simple. An automorphism of a graph Γ is a permutation of the vertex-set V(Γ) which preserves ...
Arc-transitive graphs of valency 8 have a semiregular ...
ResearchGate
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2024年12月13日 — One version of the polycirculant conjecture states that every vertex-transitive graph has a semiregular automorphism.
[PDF] Arc-transitive graphs of valency 8 have a semiregular ...
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A proof of the polycirculant conjecture is given in the arc-transitive case for graphs of valency 8, which was the smallest open valency.
Semiregular automorphisms of arc-transitive graphs with ...
ScienceDirect.com
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由 J Xu 著作2008被引用 19 次 — Every vertex-transitive digraph has a semiregular automorphism, that is, a nonidentity automorphism having all orbits of equal length.
Arc-transitive graphs of valency 8 have a semiregular ...
The University of Western Australia
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The University of Western Australia
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One version of the polycirculant conjecture states that every vertex-transitive graph has a non-identity semiregular automorphism that is, a non-identity ...
Semiregular automorphisms of arc-transitive graphs with valency
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In this paper, it is shown that the conjecture holds whenever the graph is arc-transitive of valency pq, where p and q are primes (p may equal q), and such that ...
Arc-transitive graphs of valency 8 have a semiregular ...
Digitalna knjižnica Slovenije - dLib.si
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One version of the polycirculant conjecture states that every vertex-transitive graph has a non-identity semiregular automorphism that is, a non-identity ...
Semiregular automorphisms of arc-transitive graphs
upr.si
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由 G Verret 著作 — An arc-transitive graph of valency 8 admits a non-trivial semiregular automorphism. For valency pq, the bottleneck seems to be solvable groups. Page 27 ...
Gabriel Verret
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Arc-transitive graphs of valency 8 have a semiregular automorphism. G Verret. Ars Mathematica Contemporanea 8 (1), 29-34, 2015. 19, 2015. Vertex-transitive CIS ...