Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: There is no square-complementary graph of girth 6   A graph is {\it square-complementary} ({\it squco}, for short) if its square
and complement are isomorphic. We prove that there is no squco graph of girth
$6$, thus answersing a question asked by Milani\vc et al. [Discrete Math.,
2014, to appear], and leaving $g = 5$ as the only possible value of $g$ for
which the existence of a squco graph of girth $g$ is unknown.

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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys