2024 Finite hexavalent edge-primitive graphs

Finite hexavalent edge-primitive graphs

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August undefined, 2024

WebJan 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. 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 …

Hexavalent half-arc-transitive graphs of order 9p - ScienceDirect

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. … 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 the krag rifle story by franklin b mallory

The finite edge-primitive pentavalent graphs - DeepDyve

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 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... … 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 … the kraine theatre

Finite hexavalent edge-primitive graphs

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 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. the kraissl company hackensack njWebJan 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 … the krajina chronicles

"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

Finite hexavalent edge-primitive graphs

Primitive Permutation Groups with Soluble Stabilizers and …

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. 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.

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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 …

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 … 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 …

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; WebSep 1, 2013 · The finite edge-primitive pentavalent graphs. A graph is edge-primitive if its automorphism group acts primitively on edges. Weiss (in J. Comb. Theory Ser. B 15, …

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.

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 the kraine theaterWebFinite hexavalent edge-primitive graphs. Ci Xuan Wu, Jiangmin Pan. Finite hexavalent edge-primitive graphs. Applied Mathematics and Computation, 378: 125207, 2024. the krain innWebstudying 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. the kraken adventure worldWebIn 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 … the kraken app downloadWebNov 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 … the krain menuWebedges. 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 … the kraken app casinoWebThis 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 … the kraken caught on camera