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COMPGEOM
2009
ACM
15 years 4 months ago
Randomly removing g handles at once
It was shown in [11] that any orientable graph of genus g can be probabilistically embedded into a graph of genus g − 1 with constant distortion. Removing handles one by one giv...
Glencora Borradaile, James R. Lee, Anastasios Sidi...
RSA
2010
98views more  RSA 2010»
14 years 8 months ago
Merging percolation on Zd and classical random graphs: Phase transition
: We study a random graph model which is a superposition of bond percolation on Zd with parameter p, and a classical random graph G(n, c/n). We show that this model, being a homoge...
Tatyana S. Turova, Thomas Vallier
BIRTHDAY
2005
Springer
15 years 3 months ago
Graph Transformation with Variables
Abstract. Variables make rule-based systems more abstract and expressive, as witnessed by term rewriting systems and two-level grammars. In this paper we show that variables can be...
Berthold Hoffmann
RSA
2006
88views more  RSA 2006»
14 years 9 months ago
Randomly coloring sparse random graphs with fewer colors than the maximum degree
We analyze Markov chains for generating a random k-coloring of a random graph Gn,d/n. When the average degree d is constant, a random graph has maximum degree (log n/ log log n), ...
Martin E. Dyer, Abraham D. Flaxman, Alan M. Frieze...