Symmetric and skew-symmetric {0, ±1} - matrices with large determinants

• المؤلفون الرئيسيون: Greaves, Gary, Suda, Sho
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2020
• الموضوعات: Mathematics - Combinatorics; Science::Mathematics; D‐optimal Design; EW Matrix
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/144977
• المؤسسة: Nanyang Technological University

We show that the existence of {±}-matrices having largest possible determinant is equivalent to the existence of certain tournament matrices. In particular, we prove a recent conjecture of Armario. We also show that large submatrices of conference matrices are determined by their spectrum.