International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 1, Pages 87-93
doi:10.1155/S0161171288000134
Abstract
It is shown that the partition of a graph can be determined from its star polynomial and an algorithm is given for doing so. It is subsequently shown (as it is well known) that the partition of a graph is reconstructible from the set of node-deleted subgraphs.