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A Well-Behaved Enumeration of Star Graphs
May 1995 (vol. 6 no. 5)
pp. 531-535

Abstract—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.

Index Terms—Interconnection network, star graph, incomplete star graph, interval broadcast, Hamiltonian cycles.

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Nader Bagherzadeh, Martin Dowd, Shahram Latifi, "A Well-Behaved Enumeration of Star Graphs," IEEE Transactions on Parallel and Distributed Systems, vol. 6, no. 5, pp. 531-535, May 1995, doi:10.1109/71.382321
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