Fullerenes -- The action on the sets of edges and faces

The action on the sets of edges and faces

The action on the sets of edges and faces

In the same way the cycle indices for the corresponding actions on the sets of edges or faces are given as

Z(R,Edges)=(1)/(60)(24 x₅¹⁸ +20 x₃³⁰ +15 x₁² x₂⁴⁴ +x₁⁹⁰) ^._.

Z(S,Edges)=(1)/(120)( 24 x₁₀⁹ +20 x₆¹⁵ +24 x₅¹⁸ +20 x₃³⁰ +x₂⁴⁵ +15 x₁² x₂⁴⁴ +15 x₁⁸ x₂⁴¹ +x₁⁹⁰). ^._.

and

Z(R,Faces)=(1)/(60)(15 x₂¹⁶ +24 x₁² x₅⁶ +20 x₁² x₃¹⁰ + x₁³²) ^._.

Z(S,Faces)=(1)/(120)(24 x₂ x₁₀³ +20 x₂ x₆⁵ +16 x₂¹⁶ +24 x₁² x₅⁶ +20 x₁² x₃¹⁰ +15 x₁⁸ x₂¹² +x₁³²). ^._.

harald.fripertinger@kfunigraz.ac.at

The action on the sets of edges and faces