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Geometric Planar Networks on Bichromatic Points

We study three classical graph problems - Hamiltonian path, minimum spanning tree, and minimum perfect matching on geometric graphs induced by bichromatic (red and blue) points. These problems have been widely studied for points in the Euclidean plane, and many of them are NP-hard. In this work, we consider these problems for collinear points. We show that almost all of these problems can be solved in linear time in this setting.

preprint2022arXivOpen access
Sayan BandyapadhyayAritra BanikSujoy BhoreMartin Nöllenburg
Data Structures and AlgorithmsComputational Geometry
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Open access4 authors2 topics
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Sayan BandyapadhyayAritra BanikSujoy BhoreMartin Nöllenburg

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