Name for a matrix with sum of elements along every row/column is equal?

Question

Is there a specific name for a symmetric matrix where sum of elements along every individual row is equal to the sum of elements along every individual column?

For example,

\begin{equation*} A = \begin{bmatrix} x & 0 & y \\ 0 & x & y \\ y & y & x \end{bmatrix} \end{equation*}

is symmetric matrix but the sum of elements along the rows 1,2,3, respectively is $x+y$, $x+y$ and $2y+x$.

However,

\begin{equation*} B = \begin{bmatrix} x & y & y \\ y & x & y \\ y & y & x \end{bmatrix} \end{equation*}

is also symmetric, while the sum of all elements along rows/cols is $2y+x$.

Thanks!