Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Independence complexes of well-covered circulant graphs   We study the independence complexes of families of well-covered circulant
graphs discovered by Boros-Gurvich-Milani\v{c}, Brown-Hoshino, and Moussi.
Because these graphs are well-covered, their independence complexes are pure
simplicial complexes. We determine when these pure complexes have extra
combinatorial (e.g. vertex decomposable, shellable) or topological (e.g.
Cohen-Macaulay, Buchsbaum) structure. We also provide a table of all
well-covered circulant graphs on 16 or less vertices, and for each such graph,
determine if it is vertex decomposable, shellable, Cohen-Macaulay, and/or
Buchsbaum. A highlight of this search is an example of a graph whose
independence complex is shellable but not vertex decomposable.

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The categories of this paper are: comp-gas
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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
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
0
The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: econ