A note on perfect partial elimination

作者：Bomhoff Matthijs^*; Kern Walter; Still Georg

来源：Discrete Mathematics, 2013, 313(14): 1558-1563.

DOI：10.1016/j.disc.2013.04.001

• Gaussian elimination
• Perfect elimination
• Bipartite graph
• Complexity

In Gaussian elimination it is often desirable to preserve existing zeros (sparsity). This is closely related to perfect elimination schemes on graphs. Such schemes can be found in polynomial time. Gaussian elimination uses a pivot for each column, so opportunities for preserving sparsity can be missed. In this paper we consider a more flexible process that selects a pivot for each nonzero to be eliminated and show that recognizing matrices that allow such perfect partial elimination schemes is NP-hard.

• 出版日期2013-7-28