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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_…
math.CO2007
Nonlinear Matroid Optimization and Experimental Design
Yael Berstein, Jon Lee, Hugo Maruri-Aguilar +4
We study the problem of optimizing nonlinear objective functions over matroids presented by oracles or explicitly. Such functions can be interpreted as the balancing of multi-crite…