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arXiv · 1605.07237

Adding random edges to dense graphs

Tom Bohman·Alan Frieze·Michael Krivelevich·Ryan R. Martin
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Abstract

This paper investigates the addition of random edges to arbitrary dense graphs; in particular, we determine the number of random edges required to ensure various monotone properties including the appearance of a fixed size clique, small diameter and $k$-connectivity.

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Tom Bohman, Alan Frieze, Michael Krivelevich, Ryan R. Martin. 2016-05-23. Adding random edges to dense graphs. https://doi.org/10.1002/rsa.10112

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