{−1,0,1}-Basis for the null space of a forest

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A {-1, 0, 1}- and sparsest basis for the null space of a forest in optimal time

Given a matrix, the Null Space Problem asks for a basis of its null space having the fewest nonzeros. This problem is known to be NP-complete and even hard to approximate. The null space of a forest is the null space of its adjacency matrix. Sander and Sander (2005) and Akbari et al. (2006), independently, proved that the null space of each forest admits a {−1, 0, 1}-basis. We devise an algorit...

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2006

ISSN: 0024-3795

DOI: 10.1016/j.laa.2005.10.028