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» Randomly Coloring Constant Degree Graphs
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IPL
1998
95views more  IPL 1998»
13 years 8 months ago
Coloring Random Graphs
An equitable coloring of a graph is a proper vertex coloring such that the sizes of any two color classes differ by at most one. The least positive integer k for which there exis...
Michael Krivelevich, Benny Sudakov
FOCS
2006
IEEE
14 years 2 months ago
A Local Switch Markov Chain on Given Degree Graphs with Application in Connectivity of Peer-to-Peer Networks
We study a switch Markov chain on regular graphs, where switches are allowed only between links that are at distance 3; we call this the Flip. The motivation for studying the Flip...
Tomás Feder, Adam Guetz, Milena Mihail, Ami...
WAW
2004
Springer
96views Algorithms» more  WAW 2004»
14 years 1 months ago
A Geometric Preferential Attachment Model of Networks
We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. The vertices of Gn are n sequentially generated points x1, ...
Abraham Flaxman, Alan M. Frieze, Juan Vera
CORR
2011
Springer
136views Education» more  CORR 2011»
13 years 3 months ago
Degree Fluctuations and the Convergence Time of Consensus Algorithms
We consider a consensus algorithm in which every node in a time-varying undirected connected graph assigns equal weight to each of its neighbors. Under the assumption that the deg...
Alexander Olshevsky, John N. Tsitsiklis
SODA
1997
ACM
95views Algorithms» more  SODA 1997»
13 years 10 months ago
Randomly Sampling Molecules
We give a polynomial-time algorithm for the following problem: Given a degree sequence in which each degree is bounded from above by a constant, select, uniformly at random, an un...
Leslie Ann Goldberg, Mark Jerrum