Lattice Path Matroids are 3-Colorable
Abstract
We show that every lattice path matroid of rank at least two has a quite simple coline, also known as a positive coline. Therefore every orientation of a lattice path matroid is 3-colorable with respect to the chromatic number of oriented matroids introduced by J. Nesetril, R. Nickel, and W. Hochst\"attler.
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