Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partitioning RNAs into pseudonotted and pseudoknot-free regions modeled
  as Dual Graphs   Dual graphs have been applied to model RNA secondary structures. The purpose
of the paper is two-fold: we present new graph-theoretic properties of dual
graphs to validate the further analysis and classification of RNAs using these
topological representations; we also present a linear-time algorithm to
partition dual graphs into topological components called {\it blocks} and
determine if each block contains a {\it pseudoknot} or not. We show that a
block contains a pseudoknot if and only if the block has a vertex of degree $3$
or more; this characterization allows us to efficiently isolate smaller RNA
fragments and classify them as pseudoknotted or pseudoknot-free regions, while
keeping these sub-structures intact. Even though non-topological techniques to
detect and classify pseudoknots have been efficiently applied, structural
properties of dual graphs provide a unique perspective for the further analysis
of RNAs. Applications to RNA design can be envisioned since modular building
blocks with intact pseudoknots can be combined to form new
constructs.\end{abstract}

37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
16
The categories of this paper are: stat