High-girth arc-transitive graphs
Webconstructed half-arc-transitive graphs of valency 2k for all integers k > 2 (see also [12]). Note that a graph of valency 2 is a disjoint union of cycles and hence not half-arc-transitive. Thus the valency of a half-arc-transitive graph is at least 4. Over the last half a century, numerous papers have been published on half-arc- WebA. A. Ivanov [4] found a relationship between 2-arc-transitive graphs of girth 5 and flag-transitive geometries with the diagram P L O 0 0 In particular, such a geometry can …
High-girth arc-transitive graphs
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Web4 de mai. de 2024 · In this paper, a complete classification of finite simple cubic vertex-transitive graphs of girth $6$ is obtained. It is proved that every such graph, with the exception of the Desargues graph on ... WebArc-transitivity is an even stronger property than edge-transitivity or vertex-transitivity, so arc-transitive graphs have a very high degree of symmetry. A 0-transitive graph is …
WebThe graph Σ is called (G, 2)-arc transitive, where G ≤ Aut(Σ), if G is transitive on the vertex set and on the set of 2-arcs of Σ. From a previous study it arises the question of when a … WebAn arc in a graph is an ordered pair of adjacent vertices, and so a graph is arc-transitive if its automorphism group acts transitively on the set of arcs. As we have seen, this is a stronger property than being either vertex transitive or edge transitive, and so we can say even more about arc-transitive graphs.
Web1 de abr. de 2007 · In this section, we will find out all connected 5-arc transitive cubic Cayley graphs for A 47. We first denote each coset G a ∈ Ω = [ A: G] by a ¯. Then Ω = T ¯ ≔ { h ¯ ∣ h ∈ T } and G is the point stabilizer of 1 ¯ in A. For any subgroup L of T and its left coset h L, the set h L ¯ is obviously an L -orbit in Ω. WebClearly λ k ≤ d k − e k, where d is the degree of Γ and e k is the maximal number of edges induced on a set of k vertices. We shall show that Cayley graphs with a prime order and …
Web25 de ago. de 2003 · ANALYSING FINITE LOCALLYs-ARC TRANSITIVE GRAPHS. MICHAEL GIUDICI, CAI HENG LI, AND CHERYL E. PRAEGER Abstract. We present a …
Web16 de dez. de 2010 · A further outcome of our analysis is a precise identification of which of these graphs are Cayley. We also investigate higher level of transitivity of the smallest known vertex-transitive graphs of a given degree and girth 6 and relate their constructions to near-difference sets. © 2010 Wiley Periodicals, Inc. J Graph Theory 68:265-284, 2011 crypto leverage trading exchangeWebarc-transitive graphs with vertex stabilizer D8 and order 10752, with 10752 being the smallest order of connected tetravalent half-arc-transitive graphs with vertex stabilizer … crypto leverageWebAn arc in a graph is an ordered pair of adjacent vertices, and so a graph is arc-transitive if its automorphism group acts transitively on the set of arcs. As we have seen, this is a … crypto leverage trading redditWeb16 de dez. de 2010 · A further outcome of our analysis is a precise identification of which of these graphs are Cayley. We also investigate higher level of transitivity of the smallest … crypto leverage trading indiaWebTETRAVALENT ARC-TRANSITIVE GRAPHS WITH UNBOUNDED VERTEX-STABILIZERS PRIMOŽ POTOCNIK, PABLO SPIGAˇ and GABRIEL VERRET (Received … crypto leverage trading demoWeba high level of symmetry. For example, arc-transitive 4-valent graphs of girth at most 4 were characterised in [29]. In the case of cubic graphs, even more work has been done. The structure of cubic arc-transitive graphs of girth at most 7 and 9 was studied in [12] and [7], respectively, and those of girth 6 were completely determined in [22]. crypto leverage trading platformsWebGraphs are often a natural model in real world applications such as telecommunications networks, road and transport planning, economics and social … crypto leverage trading stop loss calculator