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CN
2010
121views more  CN 2010»
15 years 2 months ago
Probabilistic flooding for efficient information dissemination in random graph topologies
Probabilistic flooding has been frequently considered as a suitable dissemination information approach for limiting the large message overhead associated with traditional (full) f...
Konstantinos Oikonomou, Dimitrios Kogias, Ioannis ...
FOCS
2004
IEEE
15 years 9 months ago
Randomly Coloring Constant Degree Graphs
We study a simple Markov chain, known as the Glauber dynamics, for generating a random k-coloring of a n-vertex graph with maximum degree . We prove that, for every > 0, the d...
Martin E. Dyer, Alan M. Frieze, Thomas P. Hayes, E...
IM
2007
15 years 5 months ago
The Spectral Gap of a Random Subgraph of a Graph
We examine the relationship of a graph G and its random subgraphs which are defined by independently choosing each edge with probability p. Suppose that G has a spectral gap λ (...
Fan R. K. Chung, Paul Horn
165
Voted
RSA
2008
118views more  RSA 2008»
15 years 4 months ago
The cover time of the giant component of a random graph
We study the cover time of a random walk on the largest component of the random graph Gn,p. We determine its value up to a factor 1 + o(1) whenever np = c > 1, c = O(ln n). In ...
Colin Cooper, Alan M. Frieze
SODA
1993
ACM
94views Algorithms» more  SODA 1993»
15 years 6 months ago
Analysis of a Simple Greedy Matching Algorithm on Random Cubic Graphs
We consider the performance of a simple greedy matching algorithm MINGREEDY when applied to random cubic graphs. We show that if λn is the expected number of vertices not matched...
Alan M. Frieze, A. J. Radcliffe, Stephen Suen