2024 Finite hexavalent edge-primitive graphs

Finite hexavalent edge-primitive graphs

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August undefined, 2024

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;

Finite edge-primitive graphs of prime valency Semantic Scholar

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. 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 … coach jennifer lopez fur bag

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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 … 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... calgary housing market report

Finite hexavalent edge-primitive graphs - ScienceDirect

Finite locally-quasiprimitive graphs - Institute for Advanced …

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 … WebIn 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 … coach jermial ashleyWebAug 1, 2024 · Finite hexavalent edge-primitive graphs☆ Preliminary results. We begin with an observation regarding the vertex stabilizers (also their Sylow 2-subgroups) and... … coach jeri leather sandals

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Finite hexavalent edge-primitive graphs

On ﬁnite edge-primitive and edge-quasiprimitive graphs

WebMay 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 … 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.

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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 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.

WebSep 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 … 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 …

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 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.

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 …

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 … coach jeremy net worthWebOct 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 … coach jerri wedge sandalsWebSep 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 … calgary humaneWebΓ 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 … calgary housing market statsWebNov 30, 2012 · 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 … calgary housing market trendsWebJun 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. calgary housing prices forecastWebWeiss (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. coach jerry gibbs baseball