Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Combinatorial Approach to Interleaving Distance between Merge Trees   In this work we approach the study of the interleaving distance between merge
trees from a combinatorial point of view. We use a particular type of matching
between trees to obtain an upper bound for such distance. We also tackle the
problem of approximating optimal matchings between trees by solving linear
integer optimization problems in a recursive and dynamical fashion. This is
intended as a first step into a combinatorial understanding of the interleaving
distance, which could lead to useful parametrizations of maps between merge
trees and to a feasible approach to the exact computation of such distances.

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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
3
The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph