Action graphs, planar rooted forests, and self-convolutions of the Catalan numbers

Published 9 Jul 2018 in math.CO | (1807.03005v2)

Abstract: We show that families of action graphs, with initial graphs which are linear of varying length, give rise to self-convolutions of the Catalan sequence. We prove this result via a comparison with planar rooted forests with a fixed number of trees.

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