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arXiv · 1408.2592

Increasing-Chord Graphs On Point Sets

Hooman Reisi Dehkordi·Fabrizio Frati·Joachim Gudmundsson
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Abstract

We tackle the problem of constructing increasing-chord graphs spanning point sets. We prove that, for every point set P with n points, there exists an increasing-chord planar graph with O(n) Steiner points spanning P. Further, we prove that, for every convex point set P with n points, there exists an increasing-chord graph with O(n log n) edges (and with no Steiner points) spanning P.

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Hooman Reisi Dehkordi, Fabrizio Frati, Joachim Gudmundsson. 2014-08-12. Increasing-Chord Graphs On Point Sets. https://arxiv.org/abs/1408.2592

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