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RSA
2008
123views more  RSA 2008»
14 years 11 months ago
Generating unlabeled connected cubic planar graphs uniformly at random
We present an expected polynomial time algorithm to generate an unlabeled connected cubic planar graph uniformly at random. We first consider rooted connected cubic planar graphs, ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
RSA
2011
124views more  RSA 2011»
14 years 6 months ago
Sparse random graphs with clustering
In 2007 we introduced a general model of sparse random graphs with independence between the edges. The aim of this paper is to present an extension of this model in which the edge...
Béla Bollobás, Svante Janson, Oliver...
CPC
1998
123views more  CPC 1998»
14 years 11 months ago
The Size of the Giant Component of a Random Graph with a Given Degree Sequence
Given a sequence of non-negative real numbers 0 1 ::: which sum to 1, we consider a random graph having approximately in vertices of degree i. In 12] the authors essentially show ...
Michael Molloy, Bruce A. Reed
ESA
2010
Springer
124views Algorithms» more  ESA 2010»
15 years 28 days ago
Shortest Cut Graph of a Surface with Prescribed Vertex Set
Éric Colin de Verdière