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Wayne Broughton

Publications and source records attributed to Wayne Broughton.

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Packing and Covering Triangles in Bilaterally-Complete Tripartite Graphs

We use Menger's Theorem and K\"onig's Line Colouring Theorem to show that in any tripartite graph with two complete (bipartite) sides the maximum number of pairwise edge-disjoint triangles equals the minimum number of edges that meet all triangles. This generalizes the corresponding result for complete tripartite graphs given by Lakshmanan, et al.

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