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APPROX
2004
Springer
179views Algorithms» more  APPROX 2004»
14 years 26 days ago
Maximum Weight Independent Sets and Matchings in Sparse Random Graphs. Exact Results Using the Local Weak Convergence Method
ABSTRACT: Let G(n, c/n) and Gr(n) be an n-node sparse random graph and a sparse random rregular graph, respectively, and let I(n, r) and I(n, c) be the sizes of the largest indepen...
David Gamarnik, Tomasz Nowicki, Grzegorz Swirszcz
CORR
2011
Springer
152views Education» more  CORR 2011»
13 years 2 months ago
Topology Discovery of Sparse Random Graphs With Few Participants
We consider the task of topology discovery of sparse random graphs using end-to-end random measurements (e.g., delay) between a subset of nodes, referred to as the participants. T...
Animashree Anandkumar, Avinatan Hassidim, Jonathan...
APPROX
2005
Springer
122views Algorithms» more  APPROX 2005»
14 years 1 months ago
Finding a Maximum Independent Set in a Sparse Random Graph
We consider the problem of finding a maximum independent set in a random graph. The random graph G, which contains n vertices, is modelled as follows. Every edge is included inde...
Uriel Feige, Eran Ofek
SODA
2003
ACM
126views Algorithms» more  SODA 2003»
13 years 8 months ago
The cover time of sparse random graphs
We study the cover time of a random walk on graphs G ∈ Gn,p when p = c log n
Colin Cooper, Alan M. Frieze
DMTCS
2006
66views Mathematics» more  DMTCS 2006»
13 years 7 months ago
On randomly colouring locally sparse graphs
We consider the problem of generating a random q-colouring of a graph G = (V, E). We consider the simple Glauber Dynamics chain. We show that if for all v V the average degree of...
Alan M. Frieze, Juan Vera