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» On almost self-complementary graphs
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JCT
2010
114views more  JCT 2010»
13 years 7 months ago
An almost quadratic bound on vertex Folkman numbers
The vertex Folkman number F(r, n, m), n < m, is the smallest integer t such that there exists a Km-free graph of order t with the property that every r-coloring of its vertices...
Andrzej Dudek, Vojtech Rödl
EUROCRYPT
2008
Springer
13 years 10 months ago
Almost-Everywhere Secure Computation
Secure multi-party computation (MPC) is a central problem in cryptography. Unfortunately, it is well known that MPC is possible if and only if the underlying communication network...
Juan A. Garay, Rafail Ostrovsky
STOC
2004
ACM
134views Algorithms» more  STOC 2004»
14 years 9 months ago
The two possible values of the chromatic number of a random graph
Given d (0, ) let kd be the smallest integer k such that d < 2k log k. We prove that the chromatic number of a random graph G(n, d/n) is either kd or kd + 1 almost surely.
Dimitris Achlioptas, Assaf Naor
CCA
2009
Springer
14 years 3 months ago
Random Iteration Algorithm for Graph-Directed Sets
Abstract. A random iteration algorithm for graph-directed sets is defined and discussed. Similarly to the Barnsley-Elton’s theorem, it is shown that almost all sequences obtaine...
Yoshiki Tsujii, Takakazu Mori, Mariko Yasugi, Hide...
COCOON
2009
Springer
14 years 3 months ago
HITS Can Converge Slowly, but Not Too Slowly, in Score and Rank
This paper explores the fundamental question of how many iterations the celebrated HITS algorithm requires on a general graph to converge in score and, perhaps more importantly, in...
Enoch Peserico, Luca Pretto