14 citations · 32 across the 10 of their papers we have counts for
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math.AC2015
Types of signature analysis in reliability based on Hilbert series
Fatemeh Mohammadi, Eduardo Sáenz-de-Cabezón, Henry P. Wynn
The present paper studies multiple failure and signature analysis of coherent systems using the theory of monomial ideals. While system reliability has been studied using Hilbert s…
math.CO2015
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 -ary tree of depth we assign a monomial ideal on $\sum_…