- ID
- 2609.29262
- 分类
- —
- 首次捕获
- 2026-09-25
- 状态
- unread
- 作者
- Yair Lavi
- 信号
- SI 54
信号历史
- 2026-09-25Scholar Inbox · 相关分 54
暂无信号数据
摘要
We prove the Marcus-Minc conjecture: let n be any integer at least 2, and let A be a nonnegative n by n matrix whose row and column sums are all one. Form a new matrix by subtracting A from the n by n matrix of ones and dividing by n minus one. Then the permanent of A is at least the permanent of the new matrix. We also determine all equality cases.