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|Title:||Convergence of Graphs and Trees|
|Abstract:||We follow the treatment in  to present some results regarding graphons and their application to the convergence of sequences of graphs. This theory is meaningful when dealing with dense graphs. Bubeck and Linial introduce the local profiles of trees as an alternative for trees . We solve an open problem regarding the local profiles which states that as the proportion of paths in a sequence of trees goes to zero the proportion of stars goes to one.|
|Type of Material:||Princeton University Senior Theses|
|Appears in Collections:||Mathematics, 1934-2020|
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