The switching game on unions of oriented matroids

Vanessa Chatelain, Jorge Luis Ramírez Alfonsín
2012 European journal of combinatorics (Print)  
In 1986, Hamidoune and Las Vergnas [3] introduced an oriented matroid version of the so-called Shannon's switching game. They conjectured that the classification of the directed switching game on oriented matroids is identical to the classification of the nonoriented version. In this note, we support this conjecture by showing its validity for an infinite class of oriented matroids obtained as unions of rank-1 and/or rank-2 uniform oriented matroids.
doi:10.1016/j.ejc.2011.08.006 fatcat:cp7yxt27ongadinhy3vcqxlfam