Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on Fiedler value of classes with sublinear separators   The $n$-th Fiedler value of a class of graphs $\mathcal C$ is the maximum
second eigenvalue $\lambda_2(G)$ of a graph $G\in\mathcal C$ with $n$ vertices.
In this note we relate this value to shallow minors and, as a corollary, we
determine the right order of the $n$-th Fiedler value for some minor closed
classes of graphs, including the class of planar graphs.

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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: econ