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arXiv · 1008.3193

Proximity Drawings of High-Degree Trees

Ferran Hurtado·Giuseppe Liotta·David R. Wood
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Abstract

A drawing of a given (abstract) tree that is a minimum spanning tree of the vertex set is considered aesthetically pleasing. However, such a drawing can only exist if the tree has maximum degree at most 6. What can be said for trees of higher degree? We approach this question by supposing that a partition or covering of the tree by subtrees of bounded degree is given. Then we show that if the partition or covering satisfies some natural properties, then there is a drawing of the entire tree such that each of the given subtrees is drawn as a minimum spanning tree of its vertex set.

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Ferran Hurtado, Giuseppe Liotta, David R. Wood. 2010-08-19. Proximity Drawings of High-Degree Trees. https://doi.org/10.1142/s0218195913500088

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