A node-positioning algorithm for general trees
Software—Practice & Experience
Fixed edge-length graph drawing is NP-hard
Discrete Applied Mathematics
Graph Drawing: Algorithms for the Visualization of Graphs
Graph Drawing: Algorithms for the Visualization of Graphs
Phylogenetic trees: an information visualisation perspective
APBC '04 Proceedings of the second conference on Asia-Pacific bioinformatics - Volume 29
IEEE Transactions on Software Engineering
Angle and distance constraints on tree drawings
GD'06 Proceedings of the 14th international conference on Graph drawing
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We present linear-time algorithms for drawing phylogenetic trees in radial and circular representations. In radial drawings given edge lengths (representing evolutionary distances) are preserved, but labels (names of taxons represented in the leaves) need to be adjusted, whereas in circular drawings labels are perfectly spread out, but edge lengths adjusted. Our algorithms produce drawings that are unique solutions to reasonable criteria and assign to each subtree a wedge of its own. The linear running time is particularly interesting in the circular case, because our approach is a special case of Tutte's barycentric layout algorithm involving the solution of a system of linear equations.