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arxiv: 1310.5396 · v2 · pith:6OPWC3GVnew · submitted 2013-10-21 · 🧮 math.CO

On the local profiles of trees

classification 🧮 math.CO
keywords treesconvexlocalprofileschallengingcontrastdefininggeneral
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We study the local profiles of trees. We show that, in contrast with the situation for general graphs, the limit set of k-profiles of trees is convex. We initiate a study of the defining inequalities of this convex set. Many challenging problems remain open.

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