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On some characterisations of totally unimodular matrices

✍ Scribed by D. de Werra

Publisher: Springer-Verlag
Year: 1981
Tongue: English
Weight: 377 KB
Volume: 20
Category: Article
ISSN: 0025-5610
DOI: 10.1007/bf01589329

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📜 SIMILAR VOLUMES

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## 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.

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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

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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