Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Dynamic Programming Framework for Combinatorial Optimization Problems
  on Graphs with Bounded Pathwidth   In this paper we present an algorithmic framework for solving a class of
combinatorial optimization problems on graphs with bounded pathwidth. The
problems are NP-hard in general, but solvable in linear time on this type of
graphs. The problems are relevant for assessing network reliability and
improving the network's performance and fault tolerance. The main technique
considered in this paper is dynamic programming.

26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom