Algorithm to compute term rank of a matrix based on the construction a bipartite graph

Huu Loc Pham
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Abstract

We consider method to compute term rank of a matrix based on the construction a bipartite graph. The term rank of a matrix $A$ is defined to be the minimum number of rows and columns that contain all non-zero elements of the matrix. In this article, we will discuss the Ford-Fulkerson algorithm for the maximum flow problem. Next, we propose modeling the algorithm in the MATLAB environment. The application of this algorithm for evaluating the characteristics of codes in a term-rank metric is considered.
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基于二部图构造的矩阵项秩计算算法
本文研究了基于二部图构造的矩阵项秩的计算方法。矩阵$ a $的秩被定义为包含矩阵中所有非零元素的最小行数和列数。在本文中,我们将讨论最大流量问题的Ford-Fulkerson算法。接下来,我们提出在MATLAB环境下对算法进行建模。研究了该算法在项秩度量中码的特征评价中的应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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