E. J. Farrell, C. M. de Matas, "On star polynomials, graphical partitions and reconstruction", International Journal of Mathematics and Mathematical Sciences, vol. 11, Article ID 102493, 7 pages, 1988. https://doi.org/10.1155/S0161171288000134
On star polynomials, graphical partitions and reconstruction
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.
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