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A Computational Approach to the Graceful Tree Conjecture (1003.3045v2)

Published 15 Mar 2010 in cs.DM and math.CO

Abstract: Graceful tree conjecture is a well-known open problem in graph theory. Here we present a computational approach to this conjecture. An algorithm for finding graceful labelling for trees is proposed. With this algorithm, we show that every tree with at most 35 vertices allows a graceful labelling, hence we verify that the graceful tree conjecture is correct for trees with at most 35 vertices.

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