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Finite hexavalent edge-primitive graphs

WebJan 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 … WebOct 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.

Vertex-quasiprimitive locally primitive Graphs SpringerLink

WebIn this paper, we study hexavalent edge-primitive graphs by using line graphs. The s-arc-transitivity of such graphs are determined, and the automorphism groups of such … 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. how many billing authorities in england https://xhotic.com

The finite edge-primitive pentavalent graphs - Springer

WebThen 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. WebApr 9, 2009 · Given an infinite family of finite primitive groups, conditions are found which ensure that almost all the orbitals are not self-paired. If p is a prime number congruent to ±1(mod 10), these conditions apply to the groups P S L (2, p) acting on the cosets of a subgroup isomorphic to A 5.In this way, infinitely many vertex-primitive ½-transitive … WebAug 1, 2024 · The finite edge-primitive pentavalent graphs Song-Tao Guo, Yan-Quan Feng, Caiheng Li Mathematics 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-primitive cubic graphs. In this paper, we classify… Expand 13 PDF high polish vs satin finish

Finite hexavalent edge-primitive graphs - 百度学术

Category:Finite edge-primitive graphs of prime valency - ScienceDirect

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Finite hexavalent edge-primitive graphs

s-transitive edge-primitive tetravalent graphs. Download Table

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 … 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 …

Finite hexavalent edge-primitive graphs

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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; WebThis is a detailed introduction to the theory of groups: finite and infinite; commutative and non-commutative. Presupposing only a basic knowledge of modern algebra, it introduces …

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 … 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.

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 … Webstudying how primitive elements lift to a given nite, regular cover. Here we consider free groups as fundamental groups of graphs. We will de ne primitive homology Hprim 1 (Y;C) in Subsection 4.4 as the subrepresentation of the homology of the cover that comes from primitive elements in the original space.

WebFinite hexavalent edge-primitive graphs. Ci Xuan Wu, Jiangmin Pan. Finite hexavalent edge-primitive graphs. Applied Mathematics and Computation, 378: 125207, 2024.

WebAug 1, 2024 · Finite hexavalent edge-primitive graphs☆ Preliminary results. We begin with an observation regarding the vertex stabilizers (also their Sylow 2-subgroups) and... … high polishing jewelryWebΓ 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 … high poly blender sculptingWebSep 14, 2009 · Many famous graphs are edge-primitive, for example, the Heawood graph, the Tutte--Coxeter graph and the Higman--Sims graph. In this paper we systematically … high poly blackreach mushroomsWebMay 9, 2006 · Our theory is built on analysing several special classes of Cayley graphs (de-fined in Subsection1.1), and analysing some operations on general Cayley graphs (discussed in Subsection1.2). 1.1. Basic edge-transitive Cayley graphs. For two groups X and Y,denote by X Y a semidirect product of X by Y,andbyX Y the central product of X … how many billing cycles in a yearWebFeb 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 … how many billing days in a yearWebMathematical 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. high poly face seWebWeiss (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. high poly body cbbe