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SODA
2003
ACM
115views Algorithms» more  SODA 2003»
15 years 5 months ago
Random walks on the vertices of transportation polytopes with constant number of sources
We consider the problem of uniformly sampling a vertex of a transportation polytope with m sources and n destinations, where m is a constant. We analyse a natural random walk on t...
Mary Cryan, Martin E. Dyer, Haiko Müller, Lee...
CORR
2002
Springer
91views Education» more  CORR 2002»
15 years 4 months ago
Quantum Random Walks Hit Exponentially Faster
We show that the hitting time of the discrete time quantum random walk on the n-bit hypercube from one corner to its opposite is polynomial in n. This gives the first exponential ...
Julia Kempe
DM
2007
83views more  DM 2007»
15 years 4 months ago
Codes identifying sets of vertices in random networks
In this paper we deal with codes identifying sets of vertices in random networks; that is, (1, ≤ ℓ)-identifying codes. These codes enable us to detect sets of faulty processor...
Alan M. Frieze, Ryan Martin, Julien Moncel, Mikl&o...
OPODIS
2004
15 years 5 months ago
Comparison of Failures and Attacks on Random and Scale-Free Networks
Abstract. It appeared recently that some statistical properties of complex networks like the Internet, the World Wide Web or Peer-to-Peer systems have an important influence on the...
Jean-Loup Guillaume, Matthieu Latapy, Cléme...
CPC
2006
93views more  CPC 2006»
15 years 4 months ago
Distribution of Vertex Degree in Web-Graphs
We give results for the age dependent distribution of vertex degree and number of vertices of given degree in the undirected web-graph process, a discrete random graph process int...
Colin Cooper