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» The Diameter of Sparse Random Graphs
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APPROX
2010
Springer
168views Algorithms» more  APPROX 2010»
13 years 9 months ago
Lower Bounds for Local Monotonicity Reconstruction from Transitive-Closure Spanners
Abstract. Given a directed graph G = (V, E) and an integer k 1, a ktransitive-closure-spanner (k-TC-spanner) of G is a directed graph H = (V, EH ) that has (1) the same transitive...
Arnab Bhattacharyya, Elena Grigorescu, Madhav Jha,...
STOC
2010
ACM
220views Algorithms» more  STOC 2010»
13 years 11 months ago
Combinatorial approach to the interpolation method and scaling limits in sparse random graphs
We establish the existence of free energy limits for several sparse random hypergraph models corresponding to certain combinatorial models on Erd¨os-R´enyi graph G(N, c/N) and r...
Mohsen Bayati, David Gamarnik, Prasad Tetali
CPC
2006
110views more  CPC 2006»
13 years 7 months ago
Solving Sparse Random Instances of Max Cut and Max 2-CSP in Linear Expected Time
Abstract. We show that a maximum cut of a random graph below the giantcomponent threshold can be found in linear space and linear expected time by a simple algorithm. In fact, the ...
Alexander D. Scott, Gregory B. Sorkin
APPROX
2004
Springer
179views Algorithms» more  APPROX 2004»
14 years 25 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
2012
Springer
272views Education» more  CORR 2012»
12 years 3 months ago
Fast and Exact Top-k Search for Random Walk with Restart
Graphs are fundamental data structures and have been employed for centuries to model real-world systems and phenomena. Random walk with restart (RWR) provides a good proximity sco...
Yasuhiro Fujiwara, Makoto Nakatsuji, Makoto Onizuk...