Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equimatchable Claw-Free Graphs   A graph is equimatchable if all of its maximal matchings have the same size.
A graph is claw-free if it does not have a claw as an induced subgraph. In this
paper, we provide, to the best of our knowledge, the first characterization of
claw-free equimatchable graphs by identifying the equimatchable claw-free graph
families. This characterization implies an efficient recognition algorithm.

30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
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The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat