报告摘要:

The combinatorial theory of matrices with real, nonnegative, integral, $(0,1)$ entries is well established and ongoing in its developments. There does not seem to have been a concerted effort to develop a combinatorial theory of matrices with entries from the integers mod $k$ using mod $k$ arithmetic, $({\mathbb Z}_k, +_k)$ where ${\mathbb Z}_k=\{0,1,\ldots,k-1\}$. In this talk we shall give an introduction to some recent work on this topic with Seth Meyer. 

报告人简介：

R.A. Brualdi is a professor emeritus of combinatorial mathematics at the University of Wisconsin–Madison. He received his Ph.D. from Syracuse University in 1964. He has over 200 publications in several mathematical journals. The concept of incidence coloring was introduced in 1993 by Brualdi and Massey. Professor Brualdi received the Euler medal from the Institute of Combinatorics and its Applications in 2000. In 2012 he was elected a fellow of the Society for Industrial and Applied Mathematics. In 2012 he became an inaugural fellow of the American Mathematical Society. He is now Editor-in-Chief of several distinguished journals, such as “Linear Algebra and Its Applications”, “Electronic Journal of Combinatorics”.

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