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arxiv: 1605.07237 · v1 · pith:MS4HS7M4new · submitted 2016-05-23 · 🧮 math.CO

Adding random edges to dense graphs

classification 🧮 math.CO
keywords edgesrandomdensegraphsaddingadditionappearancearbitrary
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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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