Special The Sign Pattern Matrices Properties Of Research

The thesis is divided into five chapters.The first chapter is the introduction, mainly introduces some knowledge about the sign pattern matrices and the two-colored digraphs. Introducing the research background and the present status of the sign pattern matrices. Giving some of the basic concepts of the sign pattern matrices and the two-colored digraphs.The second chapter introduces the bases of a special kind of sign pattern matrices. According to different locations of bipartite graphs of zero-symmetric sign pattern matrices, using the relevant theory of sign pattern matrices, obtained the base of zero-symmetric sign pattern matrices.The third chapter steadies the K th upper bases of sign pattern matrices. By steadying a special kind of primitive non-powerful nearly reducible sign pattern matrices, the bound of the K th upper bases of sign pattern matrices are obtained.Chapter fourth steadies a special kind of the two-colored digraphs. The two-colored digraphs contains a n ?2circle and two n ?3circles. Through researching, get the primitive conditions of the two-colored digraphs, further, obtained the bound of the exponents of the primitive two-colored digraphs.Chapter fifth is the conclusion. This paper summarizes the main work, put forward in the paper of deficiency also, and make a prospect of future work.