Can all vertex-transitive graphs be coloured and directed to make Cayley diagrams for groups? By this, I mean valid groups that follow the group axioms. Certainly, all Cayley diagrams are vertex-transitive.
Here is an example:
Can all vertex-transitive graphs be coloured and directed to make Cayley diagrams for groups? By this, I mean valid groups that follow the group axioms. Certainly, all Cayley diagrams are vertex-transitive.
Here is an example:
No, not the Petersen Graph for example.