Matrices Totally Positive Relative to a Tree, II
classification
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keywords
matricestreeaccordingassociateddeletioneigenvalueeigenvectorgeneral
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In this paper we prove that for a general tree $T$, if $A$ is T-TP, all the submatrices of $A$ associated with the deletion of pendant vertices are $P$-matrices, and $\det A>0$, then the smallest eigenvalue has an eigenvector signed according to $T$.
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