26 citations · 117 across the 27 of their papers we have counts for
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math.CO2011★ 14 cited
Combinatorial Types of Tropical Eigenvectors
Bernd Sturmfels, Ngoc Mai Tran
The map which takes a square matrix to its tropical eigenvalue-eigenvector pair is piecewise linear. We determine the cones of linearity of this map. They are simplicial but they d…
stat.ME2011
Pairwise ranking: choice of method can produce arbitrarily different rank order
Ngoc Mai Tran
We examine three methods for ranking by pairwise comparison: Principal Eigenvector, HodgeRank and Tropical Eigenvector. It is shown that the choice of method can produce arbitraril…