https://nova.newcastle.edu.au/vital/access/manager/Index ${session.getAttribute("locale")} 5 General lower bounds on maximal determinants of binary matrices https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:28734 Wed 11 Apr 2018 12:10:08 AEST ]]> Bounds on minors of binary matrices https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13816 Tue 24 Aug 2021 14:28:05 AEST ]]> On minors of maximal determinant matrices https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:28706 n has no proper Hadamard submatrix of order m > n/2. We generalize this result to maximal determinant submatrices of Hadamard matrices, and show that an interval of length ~ n/2 is excluded from the allowable orders. We make a conjecture regarding a lower bound for sums of squares of minors of maximal determinant matrices, and give evidence to support it. We give tables of the values taken by the minors of all maximal determinant matrices of orders ≤ 21 and make some observations on the data. Finally, we describe the algorithms that were used to compute the tables.]]> Sat 24 Mar 2018 07:30:08 AEDT ]]> Note on best possible bounds for determinants of matrices close to the identity matrix https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:26948 Sat 24 Mar 2018 07:27:02 AEDT ]]> Some binomial sums involving absolute values https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:24828 Sat 24 Mar 2018 07:15:13 AEDT ]]>