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STOC
2007
ACM
140views Algorithms» more  STOC 2007»
15 years 5 days ago
On the submodularity of influence in social networks
We prove and extend a conjecture of Kempe, Kleinberg, and Tardos (KKT) on the spread of influence in social networks. A social network can be represented by a directed graph where...
Elchanan Mossel, Sébastien Roch
STOC
2007
ACM
110views Algorithms» more  STOC 2007»
15 years 5 days ago
Randomly coloring planar graphs with fewer colors than the maximum degree
Thomas P. Hayes, Juan Carlos Vera, Eric Vigoda
STOC
2007
ACM
102views Algorithms» more  STOC 2007»
15 years 5 days ago
Zero-knowledge from secure multiparty computation
A zero-knowledge proof allows a prover to convince a verifier of an assertion without revealing any further information beyond the fact that the assertion is true. Secure multipar...
Yuval Ishai, Eyal Kushilevitz, Rafail Ostrovsky, A...
STOC
2007
ACM
132views Algorithms» more  STOC 2007»
15 years 5 days ago
On the convergence of Newton's method for monotone systems of polynomial equations
Monotone systems of polynomial equations (MSPEs) are systems of fixed-point equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomial with p...
Stefan Kiefer, Michael Luttenberger, Javier Esparz...
STOC
2007
ACM
108views Algorithms» more  STOC 2007»
15 years 5 days ago
Combinatorial complexity in O-minimal geometry
In this paper we prove tight bounds on the combinatorial and topological complexity of sets defined in terms of n definable sets belonging to some fixed definable family of sets i...
Saugata Basu
STOC
2007
ACM
136views Algorithms» more  STOC 2007»
15 years 5 days ago
Exponential separations for one-way quantum communication complexity, with applications to cryptography
We give an exponential separation between one-way quantum and classical communication protocols for two partial Boolean functions, both of which are variants of the Boolean Hidden...
Dmitry Gavinsky, Julia Kempe, Iordanis Kerenidis, ...
STOC
2007
ACM
85views Algorithms» more  STOC 2007»
15 years 5 days ago
Local embeddings of metric spaces
Ittai Abraham, Yair Bartal, Ofer Neiman
STOC
2007
ACM
105views Algorithms» more  STOC 2007»
15 years 5 days ago
Balanced allocations: the weighted case
We investigate balls-and-bins processes where m weighted balls are placed into n bins using the "power of two choices" paradigm, whereby a ball is inserted into the less...
Kunal Talwar, Udi Wieder