Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generic symmetry-forced infinitesimal rigidity: translations and
  rotations   We characterize the combinatorial types of symmetric frameworks in the plane
that are minimally generically symmetry-forced infinitesimally rigid when the
symmetry group consists of rotations and translations. Along the way, we use
tropical geometry to show how a construction of Edmonds that associates a
matroid to a submodular function can be used to give a description of the
algebraic matroid of a Hadamard product of two linear spaces in terms of the
matroids of each linear space. This leads to new, short, proofs of Laman's
theorem, and a theorem of Jord{\'a}n, Kaszanitzky, and Tanigawa, and Malestein
and Theran characterizing the minimally generically symmetry-forced rigid
graphs in the plane when the symmetry group contains only rotations.

19
The categories of this paper are: eess
1
The categories of this paper are: cs
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat