Geometric Planar Networks on Bichromatic Points [article]

Sayan Bandyapadhyay and Aritra Banik and Sujoy Bhore and Martin Nöllenburg
2019 arXiv   pre-print
We study four classical graph problems -- Hamiltonian path, Traveling salesman, 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 in two restricted settings: (i) collinear points and (ii) equidistant points on a circle. We show that almost all of these problems can be solved in linear
more » ... time in these constrained, yet non-trivial settings.
arXiv:1911.08924v1 fatcat:qh25huacmffuhhcfi7tbllnzre