Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surface realization with the intersection edge functional   Deciding realizability of a given polyhedral map on a (compact, connected)
surface belongs to the hard problems in discrete geometry, from the
theoretical, the algorithmic, and the practical point of view.
  In this paper, we present a heuristic algorithm for the realization of
simplicial maps, based on the intersection edge functional. The heuristic was
used to find geometric realizations in R^3 for all vertex-minimal
triangulations of the orientable surfaces of genus g=3 and g=4. Moreover, for
the first time, examples of simplicial polyhedra in R^3 of genus 5 with 12
vertices were obtained.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex