94,354 research outputs found
Local Search in Unstructured Networks
We review a number of message-passing algorithms that can be used to search
through power-law networks. Most of these algorithms are meant to be
improvements for peer-to-peer file sharing systems, and some may also shed some
light on how unstructured social networks with certain topologies might
function relatively efficiently with local information. Like the networks that
they are designed for, these algorithms are completely decentralized, and they
exploit the power-law link distribution in the node degree. We demonstrate that
some of these search algorithms can work well on real Gnutella networks, scale
sub-linearly with the number of nodes, and may help reduce the network search
traffic that tends to cripple such networks.Comment: v2 includes minor revisions: corrections to Fig. 8's caption and
references. 23 pages, 10 figures, a review of local search strategies in
unstructured networks, a contribution to `Handbook of Graphs and Networks:
From the Genome to the Internet', eds. S. Bornholdt and H.G. Schuster
(Wiley-VCH, Berlin, 2002), to be publishe
PRSim: Sublinear Time SimRank Computation on Large Power-Law Graphs
{\it SimRank} is a classic measure of the similarities of nodes in a graph.
Given a node in graph , a {\em single-source SimRank query}
returns the SimRank similarities between node and each node . This type of queries has numerous applications in web search and social
networks analysis, such as link prediction, web mining, and spam detection.
Existing methods for single-source SimRank queries, however, incur query cost
at least linear to the number of nodes , which renders them inapplicable for
real-time and interactive analysis.
{ This paper proposes \prsim, an algorithm that exploits the structure of
graphs to efficiently answer single-source SimRank queries. \prsim uses an
index of size , where is the number of edges in the graph, and
guarantees a query time that depends on the {\em reverse PageRank} distribution
of the input graph. In particular, we prove that \prsim runs in sub-linear time
if the degree distribution of the input graph follows the power-law
distribution, a property possessed by many real-world graphs. Based on the
theoretical analysis, we show that the empirical query time of all existing
SimRank algorithms also depends on the reverse PageRank distribution of the
graph.} Finally, we present the first experimental study that evaluates the
absolute errors of various SimRank algorithms on large graphs, and we show that
\prsim outperforms the state of the art in terms of query time, accuracy, index
size, and scalability.Comment: ACM SIGMOD 201
Search in weighted complex networks
We study trade-offs presented by local search algorithms in complex networks
which are heterogeneous in edge weights and node degree. We show that search
based on a network measure, local betweenness centrality (LBC), utilizes the
heterogeneity of both node degrees and edge weights to perform the best in
scale-free weighted networks. The search based on LBC is universal and performs
well in a large class of complex networks.Comment: 14 pages, 5 figures, 4 tables, minor changes, added a referenc
Search in Power-Law Networks
Many communication and social networks have power-law link distributions,
containing a few nodes which have a very high degree and many with low degree.
The high connectivity nodes play the important role of hubs in communication
and networking, a fact which can be exploited when designing efficient search
algorithms. We introduce a number of local search strategies which utilize high
degree nodes in power-law graphs and which have costs which scale sub-linearly
with the size of the graph. We also demonstrate the utility of these strategies
on the Gnutella peer-to-peer network.Comment: 17 pages, 14 figure
Scale-free network growth by ranking
Network growth is currently explained through mechanisms that rely on node
prestige measures, such as degree or fitness. In many real networks those who
create and connect nodes do not know the prestige values of existing nodes, but
only their ranking by prestige. We propose a criterion of network growth that
explicitly relies on the ranking of the nodes according to any prestige
measure, be it topological or not. The resulting network has a scale-free
degree distribution when the probability to link a target node is any power law
function of its rank, even when one has only partial information of node ranks.
Our criterion may explain the frequency and robustness of scale-free degree
distributions in real networks, as illustrated by the special case of the Web
graph.Comment: 4 pages, 2 figures. We extended the model to account for ranking by
arbitrarily distributed fitness. Final version to appear on Physical Review
Letter
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