Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A polynomial time algorithm to compute geodesics in CAT(0) cubical
  complexes   This paper presents the first polynomial time algorithm to compute geodesics
in a CAT(0) cubical complex in general dimension. The algorithm is a simple
iterative method to update breakpoints of a path joining two points using
Miller, Owen and Provan's algorithm (2015) as a subroutine. Our algorithm is
applicable to any CAT(0) space in which geodesics between two close points can
be computed, not limited to CAT(0) cubical complexes.

15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas