Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-universality of Reeb graph distances   We establish bi-Lipschitz bounds certifying quasi-universality (universality
up to a constant factor) for various distances between Reeb graphs: the
interleaving distance, the functional distortion distance, and the functional
contortion distance. The definition of the latter distance is a novel
contribution, and for the special case of contour trees we also prove strict
universality of this distance. Furthermore, we prove that for the special case
of merge trees the functional contortion distance coincides with the
interleaving distance, yielding universality of all four distances in this
case.

25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th