Linear Discrepancy of Totally Unimodular Matrices*
โ Scribed by Benjamin Doerr
- Publisher
- Springer-Verlag
- Year
- 2004
- Tongue
- English
- Weight
- 169 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0209-9683
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๐ SIMILAR VOLUMES
## Abstract Conditions for a matrix to be totally unimodular, due to Camion, are applied to extend and simplify proofs of other characterizations of total unimodularity.
We say that a totally unimodular matrix is k-totally unimodular (k-TU), if every matrix obtained from it by setting to zero a subset of at most k entries is still totally unimodular. We present the following results. (i) A matrix is restricted unimodular if and only if it is 3-TU, (ii) for a 2-TU m
dedicated to professor w. t. tutte on the occasion of his eightieth birthday We characterize the symmetric (0, 1)-matrices that can be signed symmetrically so that every principal submatrix has determinant 0, \1. This characterization generalizes Tutte's famous characterization of totally unimodula
A ri43xsaty and sufficient chiiriweritation lrrf totally unimodular matrices is given ick is derived from a nixewrq~ condbtion for totdi unimodularity due to Camion. II~ ~~~~~~~~~~~~tj~n is then used in cunnectirsrh with a theorem of Hoffman and Kruskal to provide an elcment~ry prwf of the charactea