Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An annotated bibliography on 1-planarity   The notion of 1-planarity is among the most natural and most studied
generalizations of graph planarity. A graph is 1-planar if it has an embedding
where each edge is crossed by at most another edge. The study of 1-planar
graphs dates back to more than fifty years ago and, recently, it has driven
increasing attention in the areas of graph theory, graph algorithms, graph
drawing, and computational geometry. This annotated bibliography aims to
provide a guiding reference to researchers who want to have an overview of the
large body of literature about 1-planar graphs. It reviews the current
literature covering various research streams about 1-planarity, such as
characterization and recognition, combinatorial properties, and geometric
representations. As an additional contribution, we offer a list of open
problems on 1-planar graphs.

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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: math
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph