부산대학교 도서관

The topological symmetry group of an embedding Γ of an abstract graph γ in S[sup.3] is the group of automorphisms of γ that can be realized by homeomorphisms of the pair (S[sup.3],Γ). These groups are motivated by questions about the symmetries of molecules in space. The Petersen family of graphs is an important family of graphs for many problems in low-dimensional topology, so it is desirable to understand the possible groups of symmetries of their embeddings in space. In this paper, we find all the groups that can be realized as topological symmetry groups for each of the graphs in the Petersen family. Along the way, we also complete the classification of the realizable topological symmetry groups for K[sub.3,3].
Author(s): Deion Elzie [1]; Samir Fridhi [2]; Blake Mellor [2]; Daniel Silva [3]; Robin T. Wilson (corresponding author) [2,*] 1. Introduction In molecular chemistry, the properties of certain molecules are [...]