A note on the spectra of certain skew-symmetric {1,0,−1}-matrices

Gerhard Wesp
2002 Discrete Mathematics  
We characterize skew-symmetric {1; 0; −1}-matrices with a certain combinatorial property. In particular, we exhibit several equivalent descriptions of this property. These results allow characterizations of unimodular orientations of the complete graph, of rank 2 chirotopes, and of a class of multipartite oriented graphs.
doi:10.1016/s0012-365x(02)00402-8 fatcat:dz64y5zfzremdjtq3sckedhxxm