Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Independent sets in edge-clique graphs   We show that the edge-clique graphs of cocktail party graphs have unbounded
rankwidth. This, and other observations lead us to conjecture that the
edge-clique cover problem is NP-complete for cographs. We show that the
independent set problem on edge-clique graphs of cographs and of
distance-hereditary graphs can be solved in O(n^4) time. We show that the
independent set problem on edge-clique graphs of graphs without odd wheels
remains NP-complete.

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The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph