Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric approach to graph magnitude homology   In this paper, we introduce a new method to compute magnitude homology of
general graphs. To each direct sum component of magnitude chain complexes, we
assign a pair of simplicial complexes whose simplicial chain complex is
isomorphic to it. First we states our main theorem specialized to trees, which
gives another proof for the known fact that trees are diagonal. After that, we
consider general graphs, which may have cycles. We also demonstrate some
computation as an application.

19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th