【摘要】 组合矩阵的指数理论是组合矩阵论中核心的研究内容,其不仅具有重要的理论价值,而且在计算机科学、遍历理论、通讯理论、社会学和经济学中都有广泛的应用.本文将综述若干经典的组合矩阵指数,并采用统一的观点,把组合矩阵的各类指数归结为"组合矩阵的结构指数"这一理论体系,开拓了组合矩阵指数理论研究的新视野.更多还原

【Abstract】 The index theory of combinatorial matrix is the central research of combinatorial matrix theory.Combinatorial matrix index theory not only has important theoretical value,but also has a wide range of practical applications in many aspects,e.g.,computer science,ergodic theory,communications theory,sociology and economics.In this paper,we summarize a number of classic indices of combinatorial matrix,and adopt a unified view to sum them up as structural indices of combinatorial matrix.This theoretical system opens up a new field for the research of index theory.更多还原