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Linial arrangements and local binary search trees (1411.7834v1)
Published 28 Nov 2014 in math.CO
Abstract: We study the set of NBC sets (no broken circuit sets) of the Linial arrangement and deduce a constructive bijection to the set of local binary search trees. We then generalize this construction to two families of Linial type arrangements for which the bijections are with some $k$-ary labelled trees that we introduce for this purpose.
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