Drawing ordered (k - 1)-ary trees on k-grids

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Abstract

We explore the complexity of drawing ordered (k - 1)-ary trees on grids with k directions for k ∈ {4, 6, 8} and within a given area. This includes, e.g., ternary trees drawn on the orthogonal grid. For aesthetically pleasing tree drawings on these grids, we additionally present various restrictions similar to the common hierarchical case. First, we generalize the NP-hardness of minimal width in hierarchical drawings of ordered trees to (k - 1)-ary trees on k-grids and then we generalize the Reingold and Tilford algorithm to k-grids. © 2011 Springer-Verlag.

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APA

Brunner, W., & Matzeder, M. (2011). Drawing ordered (k - 1)-ary trees on k-grids. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6502 LNCS, pp. 105–116). https://doi.org/10.1007/978-3-642-18469-7_10

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