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On the limit of large girth graph sequences
Authors:Gábor Elek
Institution:1. Alfred Renyi Institute of the Hungarian Academy of Sciences, Realtanoda u. 13-15., Budapest, H-1053, Hungary
Abstract:Let d≥2 be given and let μ be an involution-invariant probability measure on the space of trees TT d with maximum degrees at most d. Then μ arises as the local limit of some sequence {G n } n=1 of graphs with all degrees at most d. This answers Question 3.3 of Bollobás and Riordan 4].
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