Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Formal Characterization of the Local Search Topology of the Gap
  Heuristic   The pancake puzzle is a classic optimization problem that has become a
standard benchmark for heuristic search algorithms. In this paper, we provide
full proofs regarding the local search topology of the gap heuristic for the
pancake puzzle. First, we show that in any non-goal state in which there is no
move that will decrease the number of gaps, there is a move that will keep the
number of gaps constant. We then classify any state in which the number of gaps
cannot be decreased in a single action into two groups: those requiring 2
actions to decrease the number of gaps, and those which require 3 actions to
decrease the number of gaps.

20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess