Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Thursday, December 01, 2016, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Florian Meier

Rumor spreading: Push is fast on sparse random graphs

Consider a graph G and the classical push rumor spreading protocol. Initially, one vertex receives the rumor. Then in every round, every informed vertex selects one of its neighbours uniformly at random and pushes the rumor to the selected neighbour, that is, from now on the selected neighbour knows the rumor as well. For a large class of sparse random multi graphs, we show that it takes at most O(log n) time until almost all vertices are informed. Further we discuss under which assumptions this result extends to simple graphs and what it implies for the pull rumor spreading protocol.

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