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arXiv · 1503.04749

The height of multiple edge plane trees

Clemens Heuberger·Helmut Prodinger·Stephan Wagner
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Abstract

Multi-edge trees as introduced in a recent paper of Dziemiańczuk are plane trees where multiple edges are allowed. We first show that $d$-ary multi-edge trees where the out-degrees are bounded by $d$ are in bijection with classical $d$-ary trees. This allows us to analyse parameters such as the height. The main part of this paper is concerned with multi-edge trees counted by their number of edges. The distribution of the number of vertices as well as the height are analysed asymptotically.

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Clemens Heuberger, Helmut Prodinger, Stephan Wagner. 2015-03-16. The height of multiple edge plane trees. https://doi.org/10.1007/s00010-015-0380-0

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