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DGCI
2008
Springer
14 years 11 months ago
Generation and Recognition of Digital Planes Using Multi-dimensional Continued Fractions
This paper extends, in a multi-dimensional framework, pattern recognition techniques for generation or recognition of digital lines. More precisely, we show how the connection bet...
Thomas Fernique
ICC
2007
IEEE
124views Communications» more  ICC 2007»
15 years 3 months ago
Exploring the Local Connectivity Preference in Internet AS Level Topology
—The Internet AS level topology, upon which BGP4 runs, plays a vital role in the analysis and study of the global routing behavior. However, the study of the topology itself is n...
Guoqiang Zhang, Guoqing Zhang
AMC
2005
145views more  AMC 2005»
14 years 9 months ago
Connectivity graphs as models of local interactions
In this paper, we study graphs that arise from certain sensory and communication limitations on the local interactions in multi-agent systems. In particular, we show that the set ...
Abubakr Muhammad, Magnus Egerstedt
ICALP
2003
Springer
15 years 2 months ago
Generating Labeled Planar Graphs Uniformly at Random
Abstract. We present an expected polynomial time algorithm to generate a labeled planar graph uniformly at random. To generate the planar graphs, we derive recurrence formulas that...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
EJC
2011
14 years 4 months ago
Enumeration of connected Catalan objects by type
Noncrossing set partitions, nonnesting set partitions, Dyck paths, and rooted plane trees are four classes of Catalan objects which carry a notion of type. There exists a product f...
Brendon Rhoades