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3-Regular Graphs Are 2-Reconstructible

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arxiv 1908.01258 v1 pith:CDTGT6VJ submitted 2019-08-04 math.CO

classification math.CO
keywords reconstructiblegraphsregulardeletingdeterminedgraphinducedmultiset
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abstract

A graph is $\ell$-reconstructible if it is determined by its multiset of induced subgraphs obtained by deleting $\ell$ vertices. We prove that $3$-regular graphs are $2$-reconstructible.

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