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arxiv: 0811.1149 · v1 · submitted 2008-11-07 · 🧮 math.CO

On the limit of large girth graph sequences

classification 🧮 math.CO
keywords girthgraphlargelimitanswersarisesbollobasconvergent
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We prove that any involution-invariant probability measure on the space of trees with maximum degrees at most d arises as the local limit of a convergent large girth graph sequence. This answers a question of Bollobas and Riordan.

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