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Some additions to the theory of star partitions of graphs

Francis K. BellDragos CvetkovićPeter RowlinsonSlobodan K. Simić — 1999

Discussiones Mathematicae Graph Theory

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.

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