Probe Matrix Problems: Totally Balanced Matrices
نویسندگان
چکیده
Let M be a class of 0/1-matrices. A 0/1/?-matrix A where the ?s induce a submatrix is a probe matrix of M if the ?s in A can be replaced by 0s and 1s such that A becomes a member of M. We show that for M being the class of totally balanced matrices, it can be decided in polynomial time whether A is a probe totally balanced matrix. On our route toward proving this main result, we also prove that so-called partitioned probe strongly chordal graphs and partitioned probe chordal bipartite graphs can be recognized in polynomial time.
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