Given a social network represented by a graph G, we consider the problem of finding a bounded cardinality set of nodes S with the property that the influence spreading from S in G is as large as possible. The dynamics that govern the spread of influence is the following: initially only elements in S are influenced; subsequently at each round, the set of influenced elements is augmented by all nodes in the network that have a sufficiently large number of already influenced neighbors. While it is known that the general problem is hard to solve — even in the approximate sense — we present exact polynomial time algorithms for trees, paths, cycles, and complete graphs.
Titolo: | How to go Viral: Cheaply and Quickly | |
Autori: | ||
Data di pubblicazione: | 2014 | |
Abstract: | Given a social network represented by a graph G, we consider the problem of finding a bounded cardinality set of nodes S with the property that the influence spreading from S in G is as large as possible. The dynamics that govern the spread of influence is the following: initially only elements in S are influenced; subsequently at each round, the set of influenced elements is augmented by all nodes in the network that have a sufficiently large number of already influenced neighbors. While it is known that the general problem is hard to solve — even in the approximate sense — we present exact polynomial time algorithms for trees, paths, cycles, and complete graphs. | |
Handle: | http://hdl.handle.net/11386/4367453 | |
ISBN: | 9783319078892 | |
Appare nelle tipologie: | 4.1.1 Proceedings con DOI |