Many famous graphs are edge-primitive, for example, the Heawood graph, the Tutte–Coxeter graph and the Higman–Sims graph. In this paper we systemati-cally analyse edge-primitive and edge-quasiprimitive graphs via the O’Nan–Scott Theorem to determine the possible edge and vertex actions of such graphs. Many interesting examples are given and we also determine all G-edge-primitive graphs for G an almost simple group with socle PSL(2, q).
AbstractLet k and p be odd primes with k < p. All vertex-primitive graphs of order kp are classified...
Recently, investigation of the coprime graph of a group was initiated. The coprime graph of a group ...
An edge-graceful labeling of a finite simple graph with p vertices and q edges is a bijection from t...
AbstractMany famous graphs are edge-primitive, for example, the Heawood graph, the Tutte–Coxeter gra...
AbstractA graph is called edge- (vertex-) primitive if the group of automorphisms acts as a primitiv...
Let Gamma be a graph and let G be a subgroup of automorphisms of Gamma. Then G is said to be locally...
Let Gamma be a graph and let G be a subgroup of automorphisms of Gamma. Then G is said to be locally...
AbstractLet Γ be a graph and let G be a subgroup of automorphisms of Γ. Then G is said to be locally...
This paper concerns aspects of various graphs whose vertex set is a group G and whose edges reflect ...
Copyright © 2014 R. M. S. Mahmood. This is an open access article distributed under the Creative Com...
Let Gamma be a simple graph and let G be a group of automorphisms of Gamma. The graph is (G, 2)-arc ...
Let Gamma be a simple graph and let G be a group of automorphisms of Gamma. The graph is (G, 2)-arc ...
AbstractA graph is called edge- (vertex-) primitive if the group of automorphisms acts as a primitiv...
A graph Gamma is said to be G-locally primitive, where G is a subgroup of automorphisms of Gamma, if...
AbstractLet k and p be odd primes with k < p. All vertex-primitive graphs of order kp are classified...
AbstractLet k and p be odd primes with k < p. All vertex-primitive graphs of order kp are classified...
Recently, investigation of the coprime graph of a group was initiated. The coprime graph of a group ...
An edge-graceful labeling of a finite simple graph with p vertices and q edges is a bijection from t...
AbstractMany famous graphs are edge-primitive, for example, the Heawood graph, the Tutte–Coxeter gra...
AbstractA graph is called edge- (vertex-) primitive if the group of automorphisms acts as a primitiv...
Let Gamma be a graph and let G be a subgroup of automorphisms of Gamma. Then G is said to be locally...
Let Gamma be a graph and let G be a subgroup of automorphisms of Gamma. Then G is said to be locally...
AbstractLet Γ be a graph and let G be a subgroup of automorphisms of Γ. Then G is said to be locally...
This paper concerns aspects of various graphs whose vertex set is a group G and whose edges reflect ...
Copyright © 2014 R. M. S. Mahmood. This is an open access article distributed under the Creative Com...
Let Gamma be a simple graph and let G be a group of automorphisms of Gamma. The graph is (G, 2)-arc ...
Let Gamma be a simple graph and let G be a group of automorphisms of Gamma. The graph is (G, 2)-arc ...
AbstractA graph is called edge- (vertex-) primitive if the group of automorphisms acts as a primitiv...
A graph Gamma is said to be G-locally primitive, where G is a subgroup of automorphisms of Gamma, if...
AbstractLet k and p be odd primes with k < p. All vertex-primitive graphs of order kp are classified...
AbstractLet k and p be odd primes with k < p. All vertex-primitive graphs of order kp are classified...
Recently, investigation of the coprime graph of a group was initiated. The coprime graph of a group ...
An edge-graceful labeling of a finite simple graph with p vertices and q edges is a bijection from t...