Abstract
Sign-nonsingular skew-symmetric matrices are investigated. The concept of a nonsingular graph is introduced, and such graphs are related to pfaffian graphs. Considerable attention is devoted to properties of sign-nonsingular skew-symmetric matrices A = ( a ij ) for which there do not exist sign-nonsingular skew-symmetric matrices B = ( b ij ) of the same order with more nonzero entries and a ij = 0 whenever b ij = 0.
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