5,424 research outputs found
Broadcasting in Prefix Space: P2P Data Dissemination with Predictable Performance
A broadcast mode may augment peer-to-peer overlay networks with an efficient,
scalable data replication function, but may also give rise to a virtual link
layer in VPN-type solutions. We introduce a simple broadcasting mechanism that
operates in the prefix space of distributed hash tables without signaling. This
paper concentrates on the performance analysis of the prefix flooding scheme.
Starting from simple models of recursive -ary trees, we analytically derive
distributions of hop counts and the replication load. Extensive simulation
results are presented further on, based on an implementation within the OverSim
framework. Comparisons are drawn to Scribe, taken as a general reference model
for group communication according to the shared, rendezvous-point-centered
distribution paradigm. The prefix flooding scheme thereby confirmed its widely
predictable performance and consistently outperformed Scribe in all metrics.
Reverse path selection in overlays is identified as a major cause of
performance degradation.Comment: final version for ICIW'0
Random induced subgraphs of Cayley graphs induced by transpositions
In this paper we study random induced subgraphs of Cayley graphs of the
symmetric group induced by an arbitrary minimal generating set of
transpositions. A random induced subgraph of this Cayley graph is obtained by
selecting permutations with independent probability, . Our main
result is that for any minimal generating set of transpositions, for
probabilities where , a random induced subgraph has a.s. a unique
largest component of size , where
is the survival probability of a specific branching process.Comment: 18 pages, 1 figur
On the freezing of variables in random constraint satisfaction problems
The set of solutions of random constraint satisfaction problems (zero energy
groundstates of mean-field diluted spin glasses) undergoes several structural
phase transitions as the amount of constraints is increased. This set first
breaks down into a large number of well separated clusters. At the freezing
transition, which is in general distinct from the clustering one, some
variables (spins) take the same value in all solutions of a given cluster. In
this paper we study the critical behavior around the freezing transition, which
appears in the unfrozen phase as the divergence of the sizes of the
rearrangements induced in response to the modification of a variable. The
formalism is developed on generic constraint satisfaction problems and applied
in particular to the random satisfiability of boolean formulas and to the
coloring of random graphs. The computation is first performed in random tree
ensembles, for which we underline a connection with percolation models and with
the reconstruction problem of information theory. The validity of these results
for the original random ensembles is then discussed in the framework of the
cavity method.Comment: 32 pages, 7 figure
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