Finite hexavalent edge-primitive graphs

Author: ixjk

August undefined, 2024

WebTheorem 1.1. Let Γ be a connected nontrivial G-edge-primitive graph.Then Γ is G- arc-transitive, and one of the following holds. 1. Γ is G-vertex-primitive. 2. Γ is G-vertex-biprimitive. 3. Γ is a spread of a G-edge-primitive graph which is G-locally imprimitive. Conversely, a G-edge-primitive, G-locally imprimitive graph Σ is a quotient graph of a … WebMathematical methods of diagonalization of quadratic forms applied to the study of stability of thermodynamic systems. F.N. Lima, J.M. De Sousa. Article 125176. View PDF. Article preview.

Finite hexavalent edge-primitive graphs - ResearchGate

WebFinite hexavalent edge-primitive graphs. Appl. Math. Comput. 378: 125207 (2024) 2010 – 2024. see FAQ. What is the meaning of the colors in the publication lists? 2024 [j22] ... On edge-primitive graphs of order twice a prime power. Discret. Math. 342 (12) (2024) [j20] view. electronic edition via DOI; WebFeb 28, 2011 · Motivated by the study of several problems in algebraic graph theory, we study finite primitive permutation groups whose point stabilizers are soluble. Such primitive permutation groups are divided … speedtest only shows half my bandwidth

Finite edge-primitive graphs of prime valency - ScienceDirect

WebLi et al. [9] considered primitive half-arc-transitive graphs. C. Proposition 2.3 [9, Theorem 1.4] There are no vertex-primitive half-arc-transitive graphs of valency less than 10. The following proposition can be extracted from Theorem 2.4 and Table 1 in [10]. D. Proposition 2.4 . Let X be a connected edge-transitive graph of order 2p WebThe study of edge-primitive graphs was reinvigorated in 2010 by the first author and Li [8] by providing a general structure theorem of such graphs and classifying all edge-primitive... WebOct 14, 2011 · We characterise regular bipartite locally primitive graphs of order 2 p e, where p is prime. We show that either p =2 (this case is known by previous work), or the graph is a binormal Cayley graph or a normal cover of one of the basic locally primitive graphs; these are described in detail. speedtest oshean

The finite edge-primitive pentavalent graphs - DeepDyve

Finite hexavalent edge-primitive graphs - ScienceDirect

WebAug 1, 2024 · In this paper, we study hexavalent edge-primitive graphs by using line graphs. The s-arc-transitivity of such graphs are determined, and the automorphism … WebAug 1, 2024 · Finite hexavalent edge-primitive graphs☆ 1. Introduction. For a finite and undirected graph Γ, the expression denotes the group of all of its automorphisms. If... 2. … speedtest ookla free downloadWebThen there exists a G-basic, G-locally-primitive graph of valency p satisfying Theorem 1.5(b) (ii) with M1 ∼= M2 ∼= T. (See Proposition 2.2 for the construction and proof.) A natural problem arising from these results is the problem of constructing nite locally-quasiprimitive graphs as multicovers of a given locally-quasiprimitive graph. speedtest over the wire

"WebLet Γ be a finite connected undirected vertex transitive locally primitive graph of prime-power order. It is shown that either Γ is a normal Cayley graph of a 2-group, or Γ is a normal cover of a complete graph, a complete bipartite graph, or Σ ×l, where Σ= Kpm with p prime or Σ is the Schläfli graph (of order 27). " - Finite hexavalent edge-primitive graphs

Finite hexavalent edge-primitive graphs

Hexavalent Half-arc-transitive G raphs of O rder 6p

WebJun 1, 2024 · In this paper, we classify hexavalent half-arc-transitive graphs of order 9 p for each prime p. As a result, there are four infinite families of such graphs: three defined on Z p ⋊ Z 27 with 27 ( p − 1); one defined on Z 3 p ⋊ Z 9 with 9 ( p − 1). Half-arc-transitive graph Edge-transitive graph Arc-transitive graph Cayley graph Coset graph 1. Webedges. Weiss (in J. Comb. Theory Ser. B 15, 269–288, 1973) determined edge-primitive cubic graphs. In this paper, we classify edge-primitive pentavalent graphs. The same …

Did you know?

WebFeb 12, 2014 · Let X be a finite simple undirected graph with a subgroup G of the full automorphism group Aut(X). Then X is said to be (G, s)-transitive for a positive integer s, if G is transitive on s-arcs but not on (s + 1)-arcs, and s-transitive if it is (Aut(X), s)-transitive. Let G v be a stabilizer of a vertex v ∈ V (X) in G. Up to now, the structures of vertex …

WebJan 4, 2024 · A graph is called edge-primitive if its automorphism group acts primitively on its edge-set. In this paper, edge-primitive graphs of prime power order are determined. 1 Introduction Throughout the paper, graphs are assumed to be finite undirected graphs without loops and multiple edges. WebFeb 28, 2011 · This paper gives an explicit list of the soluble maximal subgroups of almost simple groups. The classification is then applied to classify edge-primitive s-arc …

WebOct 1, 2024 · A graph is edge-primitive if its automorphism group acts primitively on the edge set. In this short paper, we prove that a finite 2-arc-transitive edge-primitive graph has almost simple automorphism… 2 PDF References SHOWING 1-10 OF 24 REFERENCES SORT BY On finite edge-primitive and edge-quasiprimitive graphs … WebWeiss (1973) determined all cubic edge-primitive graphs, and Guo, Feng and Li recently determined all tetravalent and pentavalent edge-primitive graphs (notice that their method is difficult to treat the bigger valency case because the edge stabilizers may be insoluble). In this paper, we study hexavalent edge-primitive graphs by using line graphs.

Web5 Finite edge-primitive s-arc-transitive graphs with s 4 66 ... Here a graph is called edge-primitive if its automorphism group Aut acts primi-tively on the set of the edges. For edge-primitive s-arc-transitive graphs, where s 4, it is known that the stabilizers of their edges are soluble (see [38,126]). Therefore to

WebΓ is a spread of a G-edge-primitive graph which is G-locally imprimitive. Conversely, a G-edge-primitive, G-locally imprimitive graph Σ is a quotient graph of a larger G-edge … speedtest ookla download windowsWebJan 9, 2024 · It is known that finite non-bipartite locally primitive arc-transitive graphs are normal covers of ‘basic objects’—vertex quasiprimitive ones. Praeger in (J London Math Soc 47(2):227–239, 1993) showed that a quasiprimitive action of a group G on a nonbipartite finite 2-arc transitive graph must be one of four of the eight O’Nan–Scott types. In this … speedtest ookla xfinityWebSep 1, 2013 · A graph is edge-primitive if its automorphism group acts primitively on edges. Weiss (in J. Comb. Theory Ser. B 15, 269–288, 1973) determined edge … speedtest ookla internet connectionWebAug 1, 2024 · Finite hexavalent edge-primitive graphs☆ Preliminary results. We begin with an observation regarding the vertex stabilizers (also their Sylow 2-subgroups) and... … speedtest pc downloadWebJan 1, 2024 · We experimentally reveal the impact of inequality and visibility by means of comparing the results of four sessions where players (1) may have equal or unequal initial endowments and (2) may be visible or invisible to opponents as far as their wealth information is concerned. speedtest puntonet customWebOct 1, 2024 · Many famous graphs are edge-primitive. Weiss (1973) and Guo et al. (2013) determined edge-primitive graphs of valency 3 and 5, respectively. In this paper, we study edge-primitive graphs of any prime valency. speedtest powerfastWebIn this paper, all graphs are assumed to be finite and simple, and all groups are assumed to be finite. A graph is a pair $ { {\Gamma}}= (V,E)$ of a nonempty set V and a set E of $2$ -subsets of V. The elements in V and E are called the … speedtest pccw