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Partial Recovery Bounds for the Sparse Stochastic Block Model

Related publications (33)

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Minimum d-blockers and d-transversals in graphs

Dominique de Werra

We consider a set V of elements and an optimization problem on V: the search for a maximum (or minimum) cardinality subset of V verifying a given property a"similar to. A d-transversal is a subset of V which intersects any optimum solution in at least d el ...

2011

Blockers and transversals in some subclasses of bipartite graphs: When caterpillars are dancing on a grid

Dominique de Werra, Bernard Ries

Given an undirected graph G = (V, E) with matching number nu(G), a d-blocker is a subset of edges B such that nu((V, E \ B))

2010

Blockers and transversals

Dominique de Werra, Bernard Ries, Rico Zenklusen

Given an undirected graph G = (V, E) with matching number v(G), we define d-blockers as subsets of edges B such that nu((V, E \ B)) = d. ...

2009

Bicolored matchings in some classes of graphs

Dominique de Werra, Bernard Ries

We consider the problem of finding in a graph a set

R

of edges to be colored in red so that there are maximum matchings having some prescribed numbers of red edges. For regular bipartite graphs with

n

nodes on each side, we give sufficient conditions f ...

2007

On the Long-Run Behavior of Equation-Based Rate Control

Jean-Yves Le Boudec, Milan Vojnovic

AbstractWe consider unicast equation-based rate con-trol, where, at some points in time, a sender adjusts its rate to f(p,r), where p is an on-line estimate of the loss-event rate observed by this source, r of the average round-trip time, and f is a TCP th ...

2005

On the capacity of large Gaussian relay networks

Martin Vetterli, Michael Christoph Gastpar

The capacity of a particular large Gaussian relay network is determined in the limit as the number of relays tends to infinity. Upper bounds are derived from cut-set arguments, and lower bounds follow from an argument involving uncoded transmission. It is ...

Institute of Electrical and Electronics Engineers2005

On the Long-Run Behavior of Equation-Based Rate Control

Jean-Yves Le Boudec, Milan Vojnovic

We consider unicast equation-based rate con-trol, where, at some points in time, a sender adjusts its rate to f(p,r), where p is an on-line estimate of the loss-event rate observed by this source, r of the average round-trip time, and f is a TCP throughput ...

2003

Average-case analysis of dynamic graph algorithms

Monika Henzinger

We present a model for edge updates with restricted randomness in dynamic graph algorithms and a general technique for analyzing the expected running time of an update operation. This model is able to capture the average case in many applications, since (1 ...

1998

Faster Shortest-Path Algorithms for Planar Graphs

Monika Henzinger

We give a linear-time algorithm for single-source shortest paths in planar graphs with nonnegative edge-lengths. Our algorithm also yields a linear-time algorithm for maximum flow in a planar graph with the source and sink on the same face. For the case wh ...

1997

Finding all common bases in two matroids

In this paper, we present an algorithm for finding all common bases in two matroids. Our algorithm lists all common bases by using pivot operations in such a way that each basis appears exactly once. The time complexity of the algorithm is O(n(n^2+t)§) whe ...

1995

Bicolored matchings in some classes of graphs

Dominique de Werra, Bernard Ries

We consider the problem of finding in a graph a set

R

of edges to be colored in red so that there are maximum matchings having some prescribed numbers of red edges. For regular bipartite graphs with

n

nodes on each side, we give sufficient conditions f ...

2007