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Strong rainbow connection numbers of toroidal meshes

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arxiv 1702.07986 v2 pith:XQVOAZJS submitted 2017-02-26 math.CO

classification math.CO
keywords boundconnectionrainbowstrongtoroidalanswercitedimensional
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abstract

In 2011, Li et al. \cite{LLL} obtained an upper bound of the strong rainbow connection number of an $r$-dimensional undirected toroidal mesh. In this paper, this bound is improved. As a result, we give a negative answer to their problem.

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