| The combinatorics is a mathematics developed rapidly since the advent of the computer.It has an important role not only in basic mathematics study but also has important ap-plications in other disciplines, such as physics, chemistry, biology§computer science, codingand cryptography and other disciplines.In this article, we considered the scrambling index and its generalized competition indexof primitive digraphs. Its primary coverage is:Part I: Introduction of the history and significance of combinatorics and graph theory,and on this basis, initially described the correspondence between the primitive digraph and(0,1) matrix.Part II: Further carried out a detailed introduction to the conception of scramblingindex and generalized competition index. Introduces its domestic and international researchstatus. Also described the main content of this dissertation.Part III: The scrambling index and generalized competition index of special primitivedigraphs are discussed in detail, respectively. The exact values are obtained. |