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arXiv 2014-09-18 0 views

Further properties of a random graph with duplications and deletions

Backhausz, Ágnes · Móri, Tamás F.

Original · EN

We deal with a random graph model where at each step, a vertex is chosen uniformly at random, and it is either duplicated or its edges are deleted. Duplication has a given probability. We analyse the limit distribution of the degree of a fixed vertex, and derive a.s. asymptotic bounds for the maximal degree. The model shows a phase transition phenomenon with respect to the probabilities of duplication and deletion.

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