Some additions to the theory of star partitions of graphs
Discussiones Mathematicae. Graph Theory, Tome 19 (1999) no. 2, pp. 119-134

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This paper contains a number of results in the theory of star partitions of graphs. We illustrate a variety of situations which can arise when the Reconstruction Theorem for graphs is used, considering in particular galaxy graphs - these are graphs in which every star set is independent. We discuss a recursive ordering of graphs based on the Reconstruction Theorem, and point out the significance of galaxy graphs in this connection.
Keywords: graph, eigenvalues, eigenspaces, star partitions
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Bell, Francis; Cvetković, Dragos; Rowlinson, Peter; Simić, Slobodan. Some additions to the theory of star partitions of graphs. Discussiones Mathematicae. Graph Theory, Tome 19 (1999) no. 2, pp. 119-134. http://geodesic.mathdoc.fr/item/DMGT_1999_19_2_a0/