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- A cubic symmetric graph is a symmetric cubic (i.e., regular of order 3). Such graphs were first studied by Foster (1932). They have since been the subject of much interest and study. Since cubic graphs must have an even number of vertices, so must cubic symmetric graphs.mathworld.wolfram.com/CubicSymmetricGraph.html
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Symmetric graph - Wikipedia
Cubic symmetric graphs. Combining the symmetry condition with the restriction that graphs be cubic (i.e. all vertices have degree 3) yields quite a strong condition, and such graphs are rare enough to be listed. They all have an even number of vertices. The Foster census and its extensions provide such lists. [7] . See more
In the mathematical field of graph theory, a graph G is symmetric (or arc-transitive) if, given any two pairs of adjacent vertices u1—v1 and u2—v2 of G, there is an automorphism See more
Two basic families of symmetric graphs for any number of vertices are the cycle graphs (of degree 2) and the complete graphs. Further symmetric graphs are formed by the vertices and edges of the regular and quasiregular polyhedra: the cube See more
The vertex-connectivity of a symmetric graph is always equal to the degree d. In contrast, for vertex-transitive graphs in general, the vertex-connectivity is bounded below by … See more
• Cubic symmetric graphs (The Foster Census). Data files for all cubic symmetric graphs up to 768 vertices, and some cubic graphs with up to 1000 vertices. Gordon Royle, updated February 2001, retrieved 2009-04-18.
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Cubic Symmetric Graph -- from Wolfram MathWorld
WEBA cubic symmetric graph is a symmetric cubic (i.e., regular of order 3). Such graphs were first studied by Foster (1932). They have since been the subject of much interest and study. Since cubic graphs must have an …
Symmetric Cubic Graph -- from Wolfram MathWorld
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