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arxiv: 1712.03520 · v1 · pith:BLKD2DC2new · submitted 2017-12-10 · 🧮 math.CO

Graphs with prescribed local neighborhoods of their universal coverings

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keywords collectionneighborhoodsuniversalconditioncoveringcoveringsdepthgive
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Given a collection of n rooted trees with depth h, we give a necessary and sufficient condition for this collection to be the collection of h-depth universal covering neighborhoods at each vertex.

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