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» Crossing numbers of random graphs
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CORR
2007
Springer
121views Education» more  CORR 2007»
13 years 8 months ago
On the Minimum Number of Transmissions in Single-Hop Wireless Coding Networks
— The advent of network coding presents promising opportunities in many areas of communication and networking. It has been recently shown that network coding technique can signi...
Salim Y. El Rouayheb, Mohammad Asad R. Chaudhry, A...
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
MST
2011
209views Hardware» more  MST 2011»
13 years 2 months ago
Spreading of Messages in Random Graphs
Chang and Lyuu [Chang and Lyuu, 2008] study the spreading of a message in an Erd˝os-R´enyi random graph G(n, p) starting from a set of vertices that are convinced of the message...
Ching-Lueh Chang, Yuh-Dauh Lyuu
BIOINFORMATICS
2007
83views more  BIOINFORMATICS 2007»
13 years 8 months ago
Exploring biological network structure using exponential random graph models
Motivation: The functioning of biological networks depends in large part on their complex underlying structure. When studying their systemic nature many modeling approaches focus ...
Zachary M. Saul, Vladimir Filkov
STOC
2004
ACM
110views Algorithms» more  STOC 2004»
14 years 8 months ago
On sums of independent random variables with unbounded variance, and estimating the average degree in a graph
We prove the following inequality: for every positive integer n and every collection X1, . . . , Xn of nonnegative independent random variables that each has expectation 1, the pr...
Uriel Feige