Using R, how to sort a matrix into a block matrix (zero blocks), preserving naming order on ties using row/col Sums?

Question

I have an adjacency matrix:

myV = c(0,0,0,0,0,0,0,0,0,0,
        0,0,0,0,0,0,0,0,0,0,
        0,0,0,0,0,0,0,0,0,0,
        0,1,1,0,0,0,0,0,0,0,
        1,1,0,