Special Sign Pattern Matrix Base And Generalized Base

The sign pattern matrix is a very important branch in combination of mathematics, itsresearch in biology, chemistry, economics, sociology and theoretical terms computer sciencehas a wide application background. In this paper, according to the correspondence betweensign pattern matrix and signed digraph, we study the bases and local bases of some specialclasses of primitive non-powerful signed digraphs.In chapter 1, we introduce the background of development on the sign pattern matrix,some basic method and research progress about the base and local base of sign patternmatrix, and show the main results obtained in this paper.In chapter 2, we study and obtain the bases of two special classes of primitive non-powerful signed digraphs with three cycles and two cycles respectively.In chapter 3, we discuss a new class of primitive non-powerful signed digraphs, andobtain the local bases by using the relevant knowledge and lemma.In chapter 4, we study a special class of primitive non-powerful signed digraphs, andshow the bounds on the local bases under di?erent conditions.