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» The metamathematics of random graphs
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PODS
2006
ACM
127views Database» more  PODS 2006»
15 years 10 months ago
Evolution of page popularity under random web graph models
The link structure of the Web can be viewed as a massive graph. The preferential attachment model and its variants are well-known random graph models that help explain the evoluti...
Rajeev Motwani, Ying Xu 0002
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
14 years 12 months ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell
FOCS
2004
IEEE
15 years 1 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
14 years 9 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
SODA
1993
ACM
94views Algorithms» more  SODA 1993»
14 years 11 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