The algebraic method in tree percolation

Fatemeh Mohammadi, Eduardo Sáenz-de-Cabezón, Henry P. Wynn

We apply the methods of algebraic reliability to the study of percolation on trees. To a complete $k$-ary tree $T_{k,n}$ of depth $n$ we assign a monomial ideal $I_{k,n}$ on $\sum_…