G. Gasparyan, Bipartite designs, in IPCO 6 (Houston), (Bixby and RiosMercado eds.), Lecture Notes in Computer Science, 1412, Springer, May 1998, pp 23-35. Home/Search Document Details and Download
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Characterizing Noninteger Polyhedra with 0-1 Constraints - Sebö (Correct)
.... T A (defines a Chv atal Gomory cut and) is orthogonal to all the B i s (i = 1; 2k 1) so they are linearly dependent Linear independence of the neighbors of fractional vertices play a fundamental role in the special case of Padberg [9] 10] Lehman[6] and also in Gasparyan [3] [4]. Mixed odd circuits show that we have to work here without this condition. As a consequence we will not be able to stay within matrix terms, but will have to mix combinatorial and polyhedral arguments: Lemma 8 is mostly a self contained lemma on matrices, where the polyhedral context, through ....
....able to stay within matrix terms, but will have to mix combinatorial and polyhedral arguments: Lemma 8 is mostly a self contained lemma on matrices, where the polyhedral context, through Lemma 7 brings in a stronger combinatorial structure: r = 2 . The matricial part of Lemma 8 reoccurs in papers [4] and [5] studying the arising matrix equations. The latter avoids the nonsingularity assumption replacing Lemma 7 by combinatorial (algebraic) considerations. This paper is organized as follows: Section 2 states the main result, its corollaries, and reformulations. The proof of the main result ....
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G. Gasparyan, Bipartite Designs, (1998), in this volume.
Integer Polyhedra: Combinatorial Properties and Complexity - Sebö (2001) (Correct)
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G. Gasparyan, Bipartite designs, in IPCO 6 (Houston), (Bixby and RiosMercado eds.), Lecture Notes in Computer Science, 1412, Springer, May 1998, pp 23-35.
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