A. Khodkar

collaborators

4 papers

math.CO2019

Signed magic rectangles with three filled cells in each column

Abdollah Khodkar, David Leach, Brandi Ellis

A {\em signed magic rectangle} $S M R (m, n; k, s)$ is an $m \times n$ array with entries from $X$ , where $X = {0, \pm 1, \pm 2, \dots,$ $\pm (mk - 1) /2}$ if $mk$ is odd and $X = \{\pm1,\pm2…

math.CO2019

Signed magic rectangles with two filled cells in each column

Abdollah Khodkar, Brandi Ellis

A signed magic rectangle $S M R (m, n; r, s)$ is an $m \times n$ array with entries from $X$ , where $X = {0, \pm 1, \pm 2, \dots,$ $\pm (m s - 1) /2}$ if $m r$ is odd and $X = \{\pm1,\pm2,\ldot…

math.CO2018

Magic rectangles with empty cells

Abdollah Khodkar, David Leach

A magic rectangle of order $m \times n$ with precisely $r$ filled cells in each row and precisely $s$ filled cells in each column, denoted $M R (m, n; r, s)$ , is an arrangement of the nu…

math.CO2018

Magic squares with empty cells

Abdollah Khodkar, David Leach

A k-magic square of order n is an arrangement of the numbers from 0 to kn-1 in an n by n matrix, such that each row and each column has exactly k filled cells, each number occurs e…