Moduli Space of Families of Positive (n − 1)-Weights
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We show the geometrical structure of the moduli space of positive-weighted trees with n labels 1,…,n which realize the same family of positive (n − 1)-weights and we characterize them as a family of positive multi-weights.
KeywordsWeighted trees Triangular inequalities
The author is very grateful to Agnese Baldisserri and Elena Rubei for kindly introducing him into the topic of weighted graphs. He wants to thank Xiuxiong Chen for constant support. Many thanks to the referee for careful reading of the manuscript.