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» Generating Outerplanar Graphs Uniformly at Random
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ISAAC
2005
Springer
123views Algorithms» more  ISAAC 2005»
14 years 29 days ago
Sampling Unlabeled Biconnected Planar Graphs
We present an expected polynomial time algorithm to generate a 2-connected unlabeled planar graph uniformly at random. To do this we first derive recurrence formulas to count the ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
RSA
2010
118views more  RSA 2010»
13 years 5 months ago
Weight of a link in a shortest path tree and the Dedekind Eta function
The weight of a randomly chosen link in the shortest path tree on the complete graph with exponential i.i.d. link weights is studied. The corresponding exact probability generatin...
Piet Van Mieghem
RSA
2008
80views more  RSA 2008»
13 years 7 months ago
A spectral technique for random satisfiable 3CNF formulas
Let I be a random 3CNF formula generated by choosing a truth assignment for variables x1, . . . , xn uniformly at random and including every clause with i literals set true by w...
Abraham Flaxman
GRC
2008
IEEE
13 years 8 months ago
Effects of Varying the Delay Distribution in Random, Scale-free, and Small-world Networks
Graph-theory-based approaches have been used with great success when analyzing abstract properties of natural and artificial networks. However, these approaches have not factored...
Bum Soon Jang, Timothy Mann, Yoonsuck Choe
SIAMDM
2010
114views more  SIAMDM 2010»
13 years 5 months ago
Rank-Based Attachment Leads to Power Law Graphs
Abstract. We investigate the degree distribution resulting from graph generation models based on rank-based attachment. In rank-based attachment, all vertices are ranked according ...
Jeannette Janssen, Pawel Pralat