Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interval edge-colorings of K_{1,m,n}   In this note we prove that K_{1,m,n} is interval edge-colorable if and only
if gcd(m+1,n+1)=1. It settles in the affirmative a conjecture of Petrosyan.

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The categories of this paper are: econ
6
The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-th