Petersen’s graph

Less complicated but nevertheless useful topological representations can be obtained by using each vertex of the graph to represent a set of isomers provided that each vertex represents sets of the same size and interrelationship and each isomer is included in exactly one set. A simple example is the use of the Petersen s graph (Figure 9(b)) as a topological representation of isomerizations of the 10 trigonal bipyramid enantiomer pairs ( = 5 / 03/, = 120/12 = 10) by the Berry... 

The Pactorization of Graphs Regular graphs and their factors Petersen s theorem on trivalent graphs Alternative view correspondences... 

---