Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Canonical Number and NutCracker: Heuristic Algorithms for the Graph
  Isomorphism Problem using Free Energy   This paper develops two heuristic algorithms to solve graph isomorphism,
using free energy encoding. The first algorithm uses four types of encoding
refinement techniques such that every graph can be distinguished by a canonical
number computed by the algorithm. The second algorithm injects energy into the
graph to conduct individualization such that the correspondence relation
between a pair of isomorphic graphs can be found. The core principle behind the
two algorithms is encoding discrete structures as real numbers. A large set of
experiments demonstrated the effectiveness of our algorithms.

24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph