Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graphs with minimal well-covered dimension   There is a class of graphs with well-covered dimension equal to the
simplicial clique number that contains all chordal graphs and infinitely many
other graphs. These graphs generalize a result by Brown and Nowakowski on the
well-covered dimension of chordal graphs. Furthermore, each member of the
infinite family of Sierpinski gasket graphs of order at least $2$ has
well-covered dimension $3,$ the simplicial clique number.

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The categories of this paper are: cond-mat
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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: eess
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The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex