Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorics of a Discrete Trajectory Space for Robot Motion Planning   Motion planning is a difficult problem in robot control. The complexity of
the problem is directly related to the dimension of the robot's configuration
space. While in many theoretical calculations and practical applications the
configuration space is modeled as a continuous space, we present a discrete
robot model based on the fundamental hardware specifications of a robot. Using
lattice path methods, we provide estimates for the complexity of motion
planning by counting the number of possible trajectories in a discrete robot
configuration space.

17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas