Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On J-Colorability of Certain Derived Graph Classes   A vertex $v$ of a given graph $G$ is said to be in a rainbow neighbourhood of
$G$, with respect to a proper coloring $C$ of $G$, if the closed neighbourhood
$N[v]$ of the vertex $v$ consists of at least one vertex from every colour
class of $G$ with respect to $C$. A maximal proper colouring of a graph $G$ is
a $J$-colouring of $G$ if and only if every vertex of G belongs to a rainbow
neighbourhood of $G$. In this paper, we study certain parameters related to
$J$-colouring of certain Mycielski type graphs.

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The categories of this paper are: astro-ph
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The categories of this paper are: cs
33
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: funct-an
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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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: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int