Matrix Integrals and the Counting of Tangles and Links

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Using matrix model techniques for the counting of planar Feynman diagrams, recent results of Sundberg and Thistlethwaite on the counting of alternating tangles and links are reproduced.
17 pages, 6 figures, to appear in the proceedings of the 11th International Conference on Formal Power Series and Algebraic Combinatorics, Barcelona June 1999

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