Straight-Line Drawings of Binary Trees with Linear Area and Arbitrary Aspect Ratio
Trees are usually drawn planar, i.e. without any crossings. In this paper, we investigate the area requirement of (non-upward) planar straight-line grid drawings of binary trees. Let T be a binary tree with n nodes. We show that T admits a planar straight-line grid drawing with area O(n) and with any pre-specified aspect ratio in the range [1, n α ], where α is a constant such that 0 ≤ α < 1. We also show that such a drawing can be constructed in O(n log n) time.
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