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A Well-Behaved Enumeration of Star Graphs

An enumeration of star graphs is given which has many useful properties. For example an arbitrary prefix or suffix is connected; indeed the diameter is O(n). As a consequence, there is an O(n) interval broadcast algorithm. Prefixes which have t(n-1)! vertices for some t are especially well-behaved. The topology of, embeddings in, and algorithms for these graphs are considered, making use of the enumeration. >