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» Counting connected graphs asymptotically
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ISAAC
2005
Springer
123views Algorithms» more  ISAAC 2005»
15 years 3 months 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
DAM
2007
97views more  DAM 2007»
14 years 9 months ago
On Sturmian graphs
In this paper we define Sturmian graphs and we prove that all of them have a certain “counting” property. We show deep connections between this counting property and two conj...
Chiara Epifanio, Filippo Mignosi, Jeffrey Shallit,...
SSS
2010
Springer
134views Control Systems» more  SSS 2010»
14 years 8 months ago
Storage Capacity of Labeled Graphs
We consider the question of how much information can be stored by labeling the vertices of a connected undirected graph G using a constant-size set of labels, when isomorphic label...
Dana Angluin, James Aspnes, Rida A. Bazzi, Jiang C...
TCS
2008
14 years 9 months ago
Succinct representations of planar maps
This paper addresses the problem of representing the connectivity information of geometric objects using as little memory as possible. As opposed to raw compression issues, the fo...
Luca Castelli Aleardi, Olivier Devillers, Gilles S...
COMPGEOM
2006
ACM
15 years 3 months ago
Optimal succinct representations of planar maps
This paper addresses the problem of representing the connectivity information of geometric objects using as little memory as possible. As opposed to raw compression issues, the fo...
Luca Castelli Aleardi, Olivier Devillers, Gilles S...