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Balanced 0, ±1-matrices, bicoloring and total dual integrality (1995)

Conforti, Michele ; Cornuéjols, Gérard

Springer

Mathematical programming 71 (1995), S. 249-258

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ISSN: 1436-4646

Keywords: Combinatorial optimization ; Integrality of polyhedra ; Generalized set packing ; Covering

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Mathematics

Notes: Abstract A 0, ±1-matrixA is balanced if, in every submatrix with two nonzero entries per row and column, the sum of the entries is a multiple of four. This definition was introduced by Truemper (1978) and generalizes the notion of a balanced 0, 1-matrix introduced by Berge (1970). In this paper, we extend a bicoloring theorem of Berge (1970) and total dual integrality results of Fulkerson, Hoffman and Oppenheim (1974) to balanced 0, ±1-matrices.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01590956

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