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CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 7 months ago
Maximum Entropy Rate of Markov Sources for Systems With Non-regular Constraints
Using the concept of discrete noiseless channels, it was shown by Shannon in A Mathematical Theory of Communication that the ultimate performance of an encoder for a constrained sy...
Georg Böcherer, Valdemar Cardoso da Rocha Jr....
STOC
1994
ACM
125views Algorithms» more  STOC 1994»
13 years 11 months ago
A spectral technique for coloring random 3-colorable graphs (preliminary version)
Let G(3n, p, 3) be a random 3-colorable graph on a set of 3n vertices generated as follows. First, split the vertices arbitrarily into three equal color classes and then choose ev...
Noga Alon, Nabil Kahale
CPC
2007
125views more  CPC 2007»
13 years 7 months ago
Adversarial Deletion in a Scale-Free Random Graph Process
We study a dynamically evolving random graph which adds vertices and edges using preferential attachment and is “attacked by an adversary”. At time t, we add a new vertex xt a...
Abraham D. Flaxman, Alan M. Frieze, Juan Vera
PDP
2007
IEEE
14 years 2 months ago
Parallel-External Computation of the Cycle Structure of Invertible Cryptographic Functions
We present an algorithm to compute the cycle structure of large directed graphs where each node has exactly one outgoing edge. Such graphs appear as state diagrams of finite stat...
Andreas Beckmann, Jorg Keller
IM
2008
13 years 7 months ago
Directed Random Dot Product Graphs
In this paper we consider three models for random graphs that utilize the inner product as their fundamental object. We analyze the behavior of these models with respect to cluster...
Stephen J. Young, Edward R. Scheinerman