On d-row(Column)Antimagic Matrices and Subset Partitions

• 作者: Zhi-he LIANG Shi-xin LIANG
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 192-200
• 页数: 9页
• 语种: 英文

摘要

An m x k matrix is said to be a d-row(column)antimagic matrix if its row-sums(column-sums)form an arithmetic progression with a difference d.The goal of this paper is to obtain the existence theorems and construction methods of some d-row(column)antimagic matrices.Using these results we give the necessary and sufficient condition for the existence of an(m,d)-partition of[1,mκ].