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
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