| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4657247 | Journal of Combinatorial Theory, Series B | 2009 | 5 Pages |
Abstract
We prove the following simple uniqueness theorem: Let A and B be two integral symmetric matrices with the same irreducible characteristic polynomial. If there exist rational orthogonal matrices Q such that B=QTAQ, then Q is unique up to a sign. An application of the theorem to the reconstruction conjecture is provided.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
