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(2,12,1)-Total number of trees with maximum degree three☆ Export

Information Processing Letters, Vol. 109, No. 14. (30 June 2009), pp. 805-810.

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The (2,1) -total labelling number inlMMLBox of a graph G is the width of the smallest range of integers that suffices to label the vertices and the edges of G such that no two adjacent vertices have the same label, no two adjacent edges have the same label and the difference between the labels of a vertex and its incident edges is at least 2. It is known that every tree T with maximum degree Δ has inlMMLBox . In this paper, we characterize completely the (2,1) -total number of trees with Δ=3 .


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