Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraically rigid simplicial complexes and graphs   We call a simplicial complex algebraically rigid if its Stanley-Reisner ring
admits no nontrivial infinitesimal deformations, and call it inseparable if
does not allow any deformation to other simplicial complexes. Algebraically
rigid simplicial complexes are inseparable. In this paper we study
inseparability and rigidity of Stanley-Reisner rings, and apply the general
theory to letterplace ideals as well as to edge ideals of graphs. Classes of
algebraically rigid simplicial complexes and graphs are identified.

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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas