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5 papers · 2 filters
The relationship between graphs and Nichols braided Lie algebras
Weicai Wu, Shouchuan Zhang, Zhengtang Tan
In this paper we give the relationship between the connected components of pure generalized Dynkin graphs and Nichols braided Lie algebras.
3-colored asymmetric bipartite Ramsey number of connected matchings and cycles
Zhidan Luo, Yuejian Peng
Let be integers and be the minimum integer such that for any red-blue-green coloring of , there is a red matching of size at least in a componen…
Pattern Avoidance of Generalized Permutations
Zhousheng Mei, Suijie Wang
In this paper, we study pattern avoidances of generalized permutations and show that the number of all generalized permutations avoiding is independent of the choice of $π\in S…
0-1 matrices with zero trace whose squares are 0-1 matrices
Zejun Huang, Zhenhua Lyu
In this paper, we determine the maximum number of nonzero entries in 0-1 matrices of order with zero trace whose squares are 0-1 matrices when . The extremal matrices a…
Parallel Translates of Represented Matroids
Beifang Chen, Houshan Fu, Suijie Wang
Given an -represented matroid with the ground set , the representation naturally defines a hyperplane arrangement . We will study its paral…