Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology of space of periodic ground states in antiferromagnetic Ising
  and Potts models in selected spatial structures   Topology of the space of periodic ground states in the antiferromagnetic
Ising and Potts (3-state) models is analysed in selected spatial structures.
The states are treated as graph nodes, connected by one-spin-flip transitions.
The spatial structures are the triangular lattice, the Archimedean ($3,12^{2}$)
lattice and the cubic Laves C15 lattice with the periodic boundary conditions.
In most cases the ground states are isolated nodes, but for selected systems we
obtain connected graphs. The latter means that the magnetisation can vary in
time with zero energy cost. The ground states are classified according to their
degree and type of neighbours.

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The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ