Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The $(\leq 6)$-half-reconstructibility of digraphs   Let $G=(V,A)$ be a digraph. With every subset $X$ of $V$, we associate the
subdigraph $G[X]=(X,A\cap (X\times X))$ of $G$ induced by $X$. Given a positive
integer $k$, a digraph $G$ is $(\leq k)$-half-reconstructible if it is
determined up to duality by its subdigraphs of cardinality $\leq k$. In 2003,
J. Dammak characterized the $(\leq k)$-half-reconstructible finite digraphs,
for $k\in \{7,8,9,10,11\}$. N. El Amri, extended J. Dammak's characterization
to infinite digraphs. In this paper, we characterize the $(\leq
6)$-half-reconstructible infinite digraphs.

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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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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: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: eess