Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The plasticity of some mass transportation networks in the three
  dimensional Euclidean Space   We obtain an important generalization of the inverse weighted
Fermat-Torricelli problem for tetrahedra in R^3 by assigning at the
corresponding weighted Fermat-Torricelli point a remaining positive number
(residual weight). As a consequence, we derive a new plasticity principle of
weighted Fermat-Torricellitrees of degree five for boundary closed hexahedra in
R^3 by applying a geometric plasticity principle which lead to the plasticity
of mass transportation networks of degree five in R^3. We also derive a
complete solution for an important generalization of the inverse weighted
Fermat-Torricelli problem for three non-collinear points and a new plasticity
principle of mass networks of degree four for boundary convex quadrilaterals in
R^2. The plasticity of mass transportation networks provides some first
evidence in a creation of a new field that we may call in the future
Mathematical Botany.

5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom