Drawing (Complete) Binary Tanglegrams

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Drawing (Complete) Binary Tanglegrams: Hardness, Approximation, Fixed-Parameter Tractability

A binary tanglegram is a drawing of a pair of rooted binary trees whose leaf sets are in one-toone correspondence; matching leaves are connected by inter-tree edges. For applications, for example, in phylogenetics, it is essential that both trees are drawn without edge crossings and that the inter-tree edges have as few crossings as possible. It is known that finding a tanglegram with the minim...

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A tanglegram is a pair of trees whose leaf sets are in oneto-one correspondence; matching leaves are connected by inter-tree edges. In applications such as phylogenetics or hierarchical clustering, 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 edg...

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Given two binary phylogenetic trees covering the same n species, it is useful to compare them by drawing them with leaves arranged side-by-side. To facilitate comparison, we would like to arrange the trees to minimize the number of crossings k induced by connecting pairs of identical species. This is the NP-hard Tanglegram Layout problem. By providing a fast transformation to the Balanced Subgr...

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A binary tanglegram is a pair 〈S, T 〉 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, it is essential that both trees are drawn with no edge crossing and that the inter-tree edges have as few crossings as possible. It is known that finding a drawing with the minimum number of cro...

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ژورنال

عنوان ژورنال: Algorithmica

سال: 2010

ISSN: 0178-4617,1432-0541

DOI: 10.1007/s00453-010-9456-3