Abstract. We consider the following problem: given an n × m {0,1}-matrix M and an integer k, is it possible to get the all-zeros-matrix by merging.
Sep 19, 2016 · Assume a matrix has one component means we can traverse from a matrix entry (i,j) which is 1 to any other one by moving step of (i±1,j),(i,j±1), ...
This work proves that this problem is NP-hard but fixed-parameter tractable, and shows that there is an O(2.6181 ∗n ∗m) algorithm and factor-3-approximable ...
A (0,1) -matrix is an integer matrix in which each element is a 0 or 1. It is also called a logical matrix, binary matrix, relation matrix, or Boolean matrix.
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May 16, 2012 · It is NP-complete. Consider the case of n vectors of length n+1, where the vectors are the rows of a matrix [I|x] where I is an n×n identity ...
In linear algebra, the computation of the permanent of a matrix is a problem that is thought to be more difficult than the computation of the determinant of a ...
May 27, 2013 · I should find if this matrix has a column filled with all 1. At this matrix it's column 4. And it's said that time complexity is O(n) and memory is O(1).
In theoretical computer science, the computational complexity of matrix multiplication dictates how quickly the operation of matrix multiplication can be ...
Jun 22, 2019 · The Hadamard maximal determinant problem asks when a matrix of a given order with entries -1 and +1 has the largest possible determinant.
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Abstract. We consider the 0-1 Integer Programming problem, where we are given a collection of linear inequalities (with integer coefficients) on n variables ...