Balanced 0, ±1 Matrices II. Recognition Algorithm
نویسندگان
چکیده
منابع مشابه
Balanced 0, ±1 Matrices Part II. Recognition Algorithm
In this paper we give a polynomial time recognition algorithm for balanced 0; 1 matrices. This algorithm is based on a decomposition theorem proved in a companion paper.
متن کاملA polynomial recognition algorithm for balanced matrices
A 0,±1 matrix is balanced if it does not contain a square submatrix with two nonzero elements per row and column in which the sum of all entries is 2 modulo 4. Conforti, Cornuéjols and Rao [9], and Conforti, Cornuéjols, Kapoor and Vušković [6], provided a polynomial algorithm to test balancedness of a matrix. In this paper we present a simpler polynomial algorithm, based on techniques introduce...
متن کاملBalanced 0-1 Matrices I. Decomposition
A 0, \1 matrix is balanced if, in every square submatrix with two nonzero entries per row and column, the sum of the entries is a multiple of four. This paper extends the decomposition of balanced 0, 1 matrices obtained by Conforti, Cornue jols, and Rao (1999, J. Combin. Theory Ser. B 77, 292 406) to the class of balanced 0, \1 matrices. As a consequence, we obtain a polynomial time algorithm f...
متن کاملBalanced 0, ±1 Matrices Part I. Decomposition
A 0; 1 matrix is balanced if, in every square submatrix with two nonzero entries per row and column, the sum of the entries is a multiple of four. This paper extends the decomposition of balanced 0; 1 matrices obtained by Conforti, Cornu ejols and Rao to the class of balanced 0; 1 matrices. As a consequence, we obtain a polynomial time algorithm for recognizing balanced 0; 1 matrices.
متن کامل(0, ±1) Ideal Matrices
A (0; 1) matrix A is said to be ideal if all the vertices of the polytope Q(A) = fx : Ax 1; 0 x 1g are integral. The issue of nding a satisfactory characterization of those matrices which are minimally non-ideal is a well known open problem. An outstanding result toward the solution of this problem, due to Alfred Lehman, is the description of crucial properties of minimally non-ideal matrices. ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 2001
ISSN: 0095-8956
DOI: 10.1006/jctb.2000.2011