Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reconstructing Trees from Subtree Weights   The tree-metric theorem provides a necessary and sufficient condition for a
dissimilarity matrix to be a tree metric, and has served as the foundation for
numerous distance-based reconstruction methods in phylogenetics. Our main
result is an extension of the tree-metric theorem to more general dissimilarity
maps. In particular, we show that a tree with n leaves is reconstructible from
the weights of the m-leaf subtrees provided that n \geq 2m-1.

8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org