Vertex primitive graphs of order a product of two distinct primes. J Combin Theory Ser B, 1993, 59: 245-266C.E. Praeger, M.Y. Xu, Vertex-primitive graphs of order a product of two distinct primes, J. Combin. Theory Ser. B 59 (1993) 245-266....
Praeger, C.E., Xu, M.: Vertex-primitive graphs of order a product of two distinct primes. J. Combin. Theory Ser. B 59, 245–266 (1993) 30. Šajna, M.: Half-transitivity of some metacirculants. Discrete Math. 185(1–3), 117–136 (1998) 31. Šparl, P.: On the ...
By analysing the vertex-primitive graphs of relative fixity more than 13, one can notice that the out-valency of these graphs must grow as the number of vertices grows. More explicitly, a careful inspection of the families in Theorem A leads to the following result, the proof of which we ...
Perhaps surprisingly, as we prove in this paper, this question has a negative answer: Theorem 1 There are no tetravalent 12-arc-transitive graphs of order less than 10752 with the vertex-stabiliser isomorphic to D4, and there are precisely two such examples of order 10752. The proof of ...
We determine all vertex primitive and vertex bi-primitive 3-arc regular graphs. This result completes the classification of vertex primitive -arc regular graphs with ?2 and the classification of vertex bi-primitive -arc regular graphs with ?3. In particular, it is shown that the Petersen graph...
Journal of Group TheoryGamble, G. and Praeger, C.E., Vertex-primitive groups and graphs of order twice the product of two distinct odd primes. J. Group Theory. v3. 247-269.Greg Gamble and Cheryl E. Praeger. Vertex-primitive groups and graphs of order twice the product of two distinct...
Normally imprimitive group actions, and vertex-transitive graphsBoris Zgrablic
vertex-primitivesymmetricsub-orbitorbital graphself-pairedThe aim of this paper is to classify the vertex-primitive symmetric graphs of order 6p. These works were essentially done in [1]. But in [1] there is no such situation: G=PSL (2,13) acting on the set SZ of,cosets of subgroup H...
Y. (1994). Vertex-primitive \(\frac{1}{2}\) -transitive graphs. J. Aust. Math. Soc. Ser. A , 57 , 113–124. MATH MathSciNetDu, S. F., & Xu, M. Y. (1999). Vertex-primitive \(\frac{1}{2}\) -arc-transitive graphs of smallest order. Comm. Algebra , 27 , 163–...
primitivegroup.VERTEX-PRIMITIVE1/2-TRANSITIVEGRAPHS$DUShaofei(DeportmentofMathematics,ShanxiUniversity,Taiyuan030006,China)Abstract:Inthispa...doi:10.1007/BF02943133DU ShaofeiCNKISystems Science & Mathematical SciencesVertex-primitive 2 -transitive graphs - Taylor, Xu - 1994Vertex-primitive -transitive graphs...