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» Note on Sparse Random Graphs and Cover Graphs
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JACM
2010
111views more  JACM 2010»
13 years 6 months ago
Finding a maximum matching in a sparse random graph in O(n) expected time
We present a linear expected time algorithm for finding maximum cardinality matchings in sparse random graphs. This is optimal and improves on previous results by a logarithmic f...
Prasad Chebolu, Alan M. Frieze, Páll Melste...
ESA
2009
Springer
149views Algorithms» more  ESA 2009»
14 years 2 months ago
Sparse Cut Projections in Graph Streams
Finding sparse cuts is an important tool for analyzing large graphs that arise in practice, such as the web graph, online social communities, and VLSI circuits. When dealing with s...
Atish Das Sarma, Sreenivas Gollapudi, Rina Panigra...
COMBINATORICS
2002
111views more  COMBINATORICS 2002»
13 years 7 months ago
A Density Result for Random Sparse Oriented Graphs and its Relation to a Conjecture of Woodall
We shall prove that for all 3 and > 0 there exists a sparse oriented graph of arbitrarily large order with oriented girth and such that any 1/2 + proportion of its arcs induc...
Jair Donadelli, Yoshiharu Kohayakawa
APPROX
2004
Springer
179views Algorithms» more  APPROX 2004»
14 years 1 months 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...