Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Complexity of Separation From the Knapsack Polytope   We close three open problems in the separation complexity of valid
inequalities for the knapsack polytope. Specifically, we establish that the
separation problems for extended cover inequalities, (1,k)-configuration
inequalities, and weight inequalities are all NP-complete. We also give a
number of special cases where the separation problem can be solved in
polynomial time.

37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn