Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: T-Shape Visibility Representations of 1-Planar Graphs   A shape visibility representation displays a graph so that each vertex is
represented by an orthogonal polygon of a particular shape and for each edge
there is a horizontal or vertical line of sight between the polygons assigned
to its endvertices. Special shapes are rectangles, L, T, E and H-shapes, and
caterpillars. A flat rectangle is a horizontal bar of height $\epsilon>0$. A
graph is 1-planar if there is a drawing in the plane such that each edge is
crossed at most once and is IC-planar if in addition no two crossing edges
share a vertex.
  We show that every IC-planar graph has a flat rectangle visibility
representation and that every 1-planar graph has a T-shape visibility
representation. The representations use quadratic area and can be computed in
linear time from a given embedding.

27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ