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arXiv · 0806.0928

Drawing Binary Tanglegrams: An Experimental Evaluation

Martin Nöllenburg·Danny Holten·Markus Völker·Alexander Wolff
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Abstract

A binary tanglegram is a pair of binary trees whose leaf sets are in one-to-one correspondence; matching leaves are connected by inter-tree edges. For applications, for example in phylogenetics or software engineering, it is required that the individual trees are drawn crossing-free. A natural optimization problem, denoted tanglegram layout problem, is thus to minimize the number of crossings between inter-tree edges. The tanglegram layout problem is NP-hard and is currently considered both in application domains and theory. In this paper we present an experimental comparison of a recursive algorithm of Buchin et al., our variant of their algorithm, the algorithm hierarchy sort of Holten and van Wijk, and an integer quadratic program that yields optimal solutions.

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Martin Nöllenburg, Danny Holten, Markus Völker, Alexander Wolff. 2008-06-05. Drawing Binary Tanglegrams: An Experimental Evaluation. https://arxiv.org/abs/0806.0928

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