7 papers
A statistical model for points expanding in higher dimensions while being tied to bijective involutions
Cristian Cobeli, The Nguyen, Alexandru Zaharescu
Let be a set with elements, let be a bijective involution, and let~ be the set of sequences $(x_1,\dots,…
Clique covers and decompositions of cliques of graphs
József Balogh, Jialin He, Robert A. Krueger +2
In 1966, Erdős, Goodman, and Pósa showed that if is an -vertex graph, then at most cliques of are needed to cover the edges of , and the bound…
On the order of 4-dimensional regular polytope numbers
Anji Dong, The Nguyen, Alexandru Zaharescu
In light of Kim's conjecture on regular polytopes of dimension four, which is a generalization of Waring's problem, we establish asymptotic formulas for representing any sufficient…
Permutation and Multi-permutation Codes Correcting Multiple Deletions
Shuche Wang, The Nguyen, Yeow Meng Chee +1
Permutation codes in the Ulam metric, which can correct multiple deletions, have been investigated extensively recently. In this work, we are interested in the maximum size of perm…
Improving the Gilbert-Varshamov bound for permutation Codes in the Cayley metric and Kendall -Metric
The Nguyen
The Cayley distance between two permutations is the minimum number of \textit{transpositions} required to obtain the permutation from . When we only allow adja…
Improving Uniquely Decodable Codes in Binary Adder Channels
József Balogh, The Nguyen, Patric R. J. Ostergard +2
We present a general method to modify existing uniquely decodable codes in the -user binary adder channel. If at least one of the original constituent codes does not have averag…
A point-plane incidence theorem in matrix rings
Nguyen Van The, Le Anh Vinh
In this paper, we study a point-hyper plane incidence theorem in matrix rings, which generalizes all previous works in literature of this direction.